2026-04-13T19:47:49Z https://eigen.unram.ac.id/index.php/semeton/oai

oai:ojs.eigen.unram.ac.id:article/203 2024-09-03T04:11:36Z semeton:ART driver

Simulation of Noise Removal in Sound Signals by Using Fast Fourier Transform Method Simulasi Penghilangan Noise pada Sinyal Suara menggunakan Metode Fast Fourier Transfrom Septiawan, Redza Dwi Rayes, Putri Rahmasari Robbaniyyah, Nuzla Af'idatur Simulasi, Sinyal suara, Noise, Fast Fourier Transform Simulation Sounds signal Noise Fast Fourier Transform Sound signals are widely used such as when communicating, recording, or medical testing. However, voice signals are often contaminated by noise or interference which can reduce the quality and clarity of sound caused by weather, being in crowded places and other factors. Therefore, noise reduction in voice signals is important in voice signal processing. This study aims to reduce noise in voice signals using the FFT method. The Fast Fourier Transform (FFT) method is used to identify frequencies and reduce noise in voice signals. The data used is in the form of recordings, namely the sound of speech and the sound of rain as noise. This research was conducted with the help of MATLAB R2022a software. The results of this study indicate that the FFT method is effective in reducing noise in the voice signal and improving the sound quality to be cleaner and clearer than the original sound signal before noise removal is performed. Sinyal suara banyak digunakan seperti saat berkomunikasi, rekaman, maupun pengujian medis. Namun, sinyal suara sering kali terkontaminasi oleh noise atau gangguan yang dapat mengurangi kualitas dan kejelasan suara yang disebabkan oleh cuaca, berada ditempat keramaian dan faktor lainnya. Oleh karena itu, penghilangan noise pada sinyal suara menjadi penting dalam pemrosesan sinyal suara. Penelitian ini bertujuan untuk mengurangi noise pada sinyal suara menggunakan metode FFT. Metode Fast Fourier Transform (FFT) digunakan untuk mengidentifikasi frekuensi dan mengurangi noise pada sinyal suara. Data yang digunakan berupa hasil rekaman yaitu suara bicara dan suara hujan sebagai noise. Penelitian ini dilakukan dengan bantuan software MATLAB R2022a. Hasil pada penelitian ini menunjukkan bahwa metode FFT efektif dalam mengurangi noise pada sinyal suara dan meningkatkan kualitas suara menjadi lebih bersih dan jernih dibandingkan dengan sinyal suara asli sebelum dilakukan penghilangan noise.   Program Studi Matematika 2024-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/203 10.29303/semeton.v1i1.203 Semeton Mathematics Journal; Vol. 1 No. 1 (2024): April; 1-7 Semeton Mathematics Journal; Vol 1 No 1 (2024): April; 1-7 3062-7737 3063-2137 10.29303/semeton.v1i1 ind https://eigen.unram.ac.id/index.php/semeton/article/view/203/129 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/204 2024-09-03T04:11:36Z semeton:ART driver

Numerical Simulation and Accuracy of One-Dimensional Wave Equation by Using Finite Difference Methods Approximation Simulasi dan Akurasi Numerik Persamaan Gelombang Satu Dimensi Menggunakan Aproksimasi Metode Beda Hingga Robbaniyyah, Nuzla Af'idatur Muliyanti, Annisa Sri Malasso, Dede Ambiya Pajri, Dwi Hafizatul Simulasi; Akurasi; Persamaan Gelombang; Metode Beda Hingga. Simulation Accuracy Wave Equation Finite Difference Method The wave equation is a form of partial differential equation that represents physical phenomena on classical physics that are often encountered in everyday life. For example a mechanical waves, such as water waves, sound waves, and seismics waves or light waves. In this research, discussed one-dimensional homogeneous wave equation. Analytical solutions and numerical solutions will be peeled in this research. The numerical solution is approached by using the finite center difference method with an explicit scheme. The solution obtained is simulated with MATLAB software. The results show that the analytical solution has the same pattern as the numerical solution. In other hand, a good level of accuracy was also is obtained using different methods by using a Mean Absolute Percentage Error (MAPE) value of 12%. Persamaan gelombang merupakan salah satu bentuk persamaan diferensial parsial yang merepresentasikan fenomena fisis yang sering dijumpai di kehidupan sehari-hari. Pada penelitian in, dibahas persamaan gelombang homogen satu dimensi. Akan dicari solusi analitik dan solusi numeriknya. Solusi numerik diselesaikan menggunakan metode beda hingga beda pusat dengan skema eksplisit. Solusi yang didapatkan disimulasikan dengan software MATLAB. Hasil yang diperoleh memperlihatkan bahwa solusi analitik mempunyai pola yang sama dengan solusi numerik. Selain itu, didapatkan pula tingkat akurasi yang baik pada metode beda hingga dengan menggunakan perolehan nilai Mean Absolute Percentage Error (MAPE) sebesar 12%. Program Studi Matematika 2024-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/204 10.29303/semeton.v1i1.204 Semeton Mathematics Journal; Vol. 1 No. 1 (2024): April; 8-14 Semeton Mathematics Journal; Vol 1 No 1 (2024): April; 8-14 3062-7737 3063-2137 10.29303/semeton.v1i1 ind https://eigen.unram.ac.id/index.php/semeton/article/view/204/130 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/205 2024-09-03T04:11:36Z semeton:ART driver

Parameter Optimization double exponential smoothing using the golden section method for forecasting closing stock price pt. Telkom indonesia (persero) Optimalisasi Parameter Double Exponential Smoothing menggunakan Metode Golden Section pada Peramalan Harga Saham Penutupan PT. Telkom Indonesia (Persero) Tajalli, Halawatun Harsyiah, Lisa Baskara, Zulhan Widya DES Brown DES Holt Forecasting Golden Section The process of predicting an event in the future is called forecasting. A forecasting model that functions to predict time series data with a trend pattern is Double Exponential Smoothing (DES). This study aims to compare one-parameter Brown DES with two-parameter Holt DES using the golden section method. The data used is monthly data on closing share prices of PT. Telkom Indonesia (Persero) for the period January 2011 - December 2021. Golden Section is an optimization method for finding parameter values that minimize the MAPE (Mean Absolute Percentage Error) function. The results of calculating the optimum parameter values for DES Brown α=0.420766 with a MAPE value of 4.871787804% and for DES Holt α=0.506578 and β=0.458980 with a MAPE value of 4.7233301647%. According to the MAPE value, the models used are very accurate for forecasting. DES Holt was selected as the best model for forecasting based on the smallest MAPE value. Peramalan merupakan suatu proses atau metode dalam meramal suatu peristiwa pada masa yang akan datang. Double Exponential Smoothing (DES) adalah satu model yang digunakan untuk meramalkan data runtun waktu yang memiliki data pola trend. Pada penelitian ini membandingkan DES Brown satu parameter dengan DES Holt dua parameter menggunakan metode golden section. Data yang digunakan adalah data bulanan harga saham penutupan PT. Telkom Indonesia (Persero) periode Januari 2011 - Desember 2021. Metode Golden Section merupakan salah satu metode optimasi untuk mencari nilai parameter yang meminimumkan fungsi MAPE (Mean Absolute Percentage Error). Hasil perhitungan nilai parameter optimum untuk DES Brown  dengan nilai MAPE sebesar  dan untuk DES Holt  dan  dengan nilai MAPE sebesar . Berdasarkan nilai MAPE di kedua model sangat akurat untuk dilakukan peramalan. DES Holt terpilih sebagai model terbaik untuk peramalan berdasarkan nilai MAPE terkecil. Program Studi Matematika 2024-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/205 10.29303/semeton.v1i1.205 Semeton Mathematics Journal; Vol. 1 No. 1 (2024): April; 15-23 Semeton Mathematics Journal; Vol 1 No 1 (2024): April; 15-23 3062-7737 3063-2137 10.29303/semeton.v1i1 ind https://eigen.unram.ac.id/index.php/semeton/article/view/205/131 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/206 2024-09-03T04:11:36Z semeton:ART driver

Traffic Waiting Time Optimization: An Effective Effort to Overcome Congestion at Gede Ngurah Cakranegara Intersection Setiawati, Setiawati Rahmi, Dhea Wasila Syauqi, Shofiyurrahman Purnamasari, Dara compatible graph gede ngurah cakranegara insection waiting time optimization Intersections are places that are prone to traffic congestion. This is due to the location and function of the intersection, which if left unchecked will lead to accidents. To overcome this problem, traffic lights are made to regulate traffic flow conditions. Gede Ngurah Cakranegara Intersection is an intersection that has high congestion conditions, this is due to its location in the city center and its function as a main road. In addition, the trigger for congestion at the Gede Ngurah Cakranegara intersection is the waiting time which is still not optimal and the lack of orderly drivers in obeying the traffic lights. Thus, the purpose of this study is to optimize the total waiting time at the Gede Ngurah Cakranegara intersection. Total waiting time optimization is done using compatible graph. The compatible graph in this case will describe the condition of traffic flows that will run simultaneously without interfering with each other, so that they are safe and do not collide with each other. This study uses primary data obtained from field observations conducted in the morning, afternoon and evening. After optimization, the total waiting time at the Gede Ngurah Cakranegara intersection following the light signal is 180 seconds and the total waiting time for those who do not follow the light signal is 120 seconds. Compared to the previous waiting time of 538 seconds, a more optimal time was obtained. Persimpangan merupakan tempat yang rawan terjadinya kemacetan lalu lintas. Hal ini disebabkan karena letak dan fungsi dari persimpangan, jika terus dibiarkan akan memicu terjadinya kecelakaan. Untuk mengatasi permasalahan ini, dibuatlah lampu lalu lintas yang bertujuan mengatur kondisi arus lalu lintas. Persimpangan Gede Ngurah Cakranegara adalah persimpangan yang memiliki kondisi kemacetan yang tinggi, ini diakibatkan oleh letaknya yang berada di pusat kota dan fungsinya yang merupakan jalan utama. Selain itu, pemicu terjadinya kemacetan di persimpangan Gede Ngurah Cakranegara adalah waktu tunggu yang masih kurang optimal serta kurang tertibnya para pengendara dalam mematuhi lampu lalu lintas. Dengan demikian, tujuan dari penelitian ini adalah untuk mengoptimalkan waktu tunggu total di persimpangan Gede Ngurah Cakranegara. Pengoptimalan waktu tunggu total di dilakukan menggunakan graf kompatibel. Graf kompatibel dalam hal ini akan menggambarkan kondisi arus lintas yang akan berjalan secara bersamaan tanpa saling mengganggu, sehingga aman dan tidak saling bertabrakan. Penelitian ini menggunakan data primer yang yang didapatkan dari pengamatan di lapangan yang dilakukan pada pagi, siang dan sore. Setelah dilakukan pengoptimalan didapatkan hasil tunggu total di persimpangan Gede Ngurah Cakranegara mengikuti isyarat lampu 180 detik dan waktu tunggu total untuk yang tidak mengikuti isyarat lampu 120 detik. Dibandingkan dengan waktu tunggu sebelumnya sebesar 538 detik, didapatakan waktu yang lebih optimal. Program Studi Matematika 2024-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/206 10.29303/semeton.v1i1.206 Semeton Mathematics Journal; Vol. 1 No. 1 (2024): April; 24-32 Semeton Mathematics Journal; Vol 1 No 1 (2024): April; 24-32 3062-7737 3063-2137 10.29303/semeton.v1i1 ind https://eigen.unram.ac.id/index.php/semeton/article/view/206/132 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/210 2024-09-03T04:11:36Z semeton:ART driver

Application of Greedy Algorithm to Solve Integer Knapsack Problem (Case Study: Indah Logistik Cargo Mataram) Penerapan Algoritma Greedy Untuk Menyelesaikan Permasalahan Integer Knapsack (Studi Kasus : Indah Logistik Cargo Mataram) Setiawati, Setiawati Fitrawati, Elyin Awwaliyah, Razma Rizqiyah Alivia, Baiq Nadiva Bahri, Syamsul algoritma greedy; distribusi; integer knapsack optimization greedy algorithm distribution integer knapsack logistics Distribution is one form of problem that can be solved using the optimization process. There are various things that can be optimized in distribution problems, including maximizing the weight of goods to be distributed so that it can save distribution costs and provide benefits for the company. One of the companies engaged in the distribution of goods is Indah Logistik Cargo, Mataram branch, where in the distribution process there are goods with quantities that exceed the capacity of the shipping equipment. Therefore, it is necessary to select goods to be delivered with the maximum weight but not exceeding the capacity that provides greater benefits to the company. This problem is one of the integer knapsack problems. In this study, researchers used greedy algorithms, namely greedy by profit, greedy by weigth and greedy by density to optimize profits. From the research results, it is obtained that the method that has a greater profit in the distribution process at Indah Logistik Cargo Mataram is greedy by density, which amounts to 𝑅𝑝 2,603,138.3. Distribusi merupakan salah satu bentuk permasalahan yang dapat diselesaikan dengan menggunakan proses optimasi. Ada berbagai hal yang bisa dioptimasikan dalam permasalahan distribusi diantaranya yaitu memaksimalkan berat barang yang akan didistribusikan sehingga dapat menghemat biaya distribusi dan memberikan keuntungan bagi perusahaan. Salah satu perusahaan yang bergerak dalam bidang pendistribusian barang adalah Indah Logistik Cargo cabang Mataram, dimana dalam proses pendistribusiannya terdapat barang dengan jumlah yang melebihi kapasitas alat pengirimannya. Oleh karena itu perlu dilakukan pemilihan barang yang akan diantar dengan berat maksimal namun tidak melebihi kapasitas tampungnya yang memberikan keuntungan lebih besar kepada perusahaan. Permasalahan ini merupakan salah satu permasalahan integer knapsack. Dalam penelitian ini, peneliti menggunakan algoritma greedy, yakni  greedy by profit, greedy by weigth dan greedy by density untk mengoptimalkan keuntungan. Dari hasil penelitian diperoleh metode yang memiliki keuntungan lebih besar dalam proses distribusi pada Indah Logistik Cargo Mataram adalah greedy by density yaitu sebesar 𝑅𝑝 2.603.138,3. Program Studi Matematika 2024-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/210 10.29303/semeton.v1i1.210 Semeton Mathematics Journal; Vol. 1 No. 1 (2024): April; 33-42 Semeton Mathematics Journal; Vol 1 No 1 (2024): April; 33-42 3062-7737 3063-2137 10.29303/semeton.v1i1 ind https://eigen.unram.ac.id/index.php/semeton/article/view/210/134 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/216 2024-10-02T01:59:23Z semeton:ART driver

Study of Primality in Modules: Prime, Weakly Prime, Almost Prime, and n-Almost Prime Submodules Studi Keprimaan dalam Modul: Submodul Prima, Prima Lemah, Hampir Prima, dan n- Hampir Prima Ambar, Jinan Afdhaluzzikri, Muhammad Prime submodule weak prime submodule almost prime submodule n-prime submodule primary submodule Submodul prima submodul prima lemah submodul hampir prima submodul n-prima submodul primer Module theory, as a branch of abstract algebra, is a field of study that extends the concept of vector spaces into a more general framework, finding broad applications across various mathematical fields. The concept of prime numbers, initially abstracted by Dedekind in the form of prime ideals, underwent further development by mathematicians. Anderson generalized it into weak prime ideals, while Sharma developed the concept of nearly prime ideals. After Noether introduced the concept of modules, Dauns brought this primality notion into module theory under the name of prime submodules. Subsequently, Khashan generalized it into weak and nearly prime submodules. The latest development came from Azizi, who introduced the concept of nearly prime submodules into n-nearly prime submodules. In this context, this article discusses several key characteristics of prime submodules and their generalizations, providing a deep understanding of their fundamental structures and properties. Through this understanding, we can explore various applications of module theory in various mathematical contexts and delve into the complexities inherent in the study of primality and submodule structures within modules. The purpose of this research is to explain some structures and properties of prime submodules. This research uses the literature review method, which is by collecting information from various reading sources related to prime submodules and their generality. The result of this research is an explanation of some structures and properties of prime submodules and their examples. Teori modul, sebagai cabang dari aljabar abstrak, merupakan bidang studi yang memperluas konsep ruang vektor ke dalam kerangka yang lebih umum, menemukan aplikasi yang luas di berbagai bidang matematika. Konsep bilangan prima, yang awalnya diabstraksi oleh Dedekind dalam bentuk ideal prima, mengalami pengembangan lebih lanjut oleh para matematikawan. Anderson memperumumkannya menjadi ideal prima lemah, sedangkan Sharma mengembangkan konsep ideal hampir prima. Setelah Noether memperkenalkan konsep modul, Dauns membawa gagasan keprimaan ini ke dalam teori modul dengan nama submodul prima. Selanjutnya, Khashan memperumumkannya menjadi submodul hampir prima dan submodul prima lemah. Pengembangan terakhir datang dari Azizi, yang memperkenalkan konsep submodul hampir prima menjadi submodul n-hampir prima. Dalam konteks ini, artikel ini membahas beberapa karakteristik kunci dari submodul prima beserta perumumannya, memberikan pemahaman mendalam tentang struktur dan sifat-sifat yang mendasarinya. Melalui pemahaman ini, kita dapat mengeksplorasi berbagai aplikasi teori modul dalam berbagai konteks matematika dan menyelami kompleksitas yang terkandung dalam studi keprimaan dan struktur submodul dalam modul. Tujuan penelitiaan ini adalah menjelaskan beberapa struktur dan sifat-sifat dari submodul prima. Penelitian ini menggunakan metode kajian pustaka, yaitu dengan cara mengumpulkan informasi dari berbagai sumber bacaan yang berkaitan dengan submodul prima beserta perumumannya. Hasil penelitian ini berupa penjelasan mengenai beberapa struktur dan sifat-sifat dari submodul prima beserta contohnya. Program Studi Matematika 2024-10-02 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/216 10.29303/semeton.v1i2.216 Semeton Mathematics Journal; Vol. 1 No. 2 (2024): October; 54-61 Semeton Mathematics Journal; Vol 1 No 2 (2024): Oktober; 54-61 3062-7737 3063-2137 10.29303/semeton.v1i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/216/143 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/217 2024-10-02T01:59:23Z semeton:ART driver

Some Characteristics of Submodules of Module Karakteristik Beberapa Submodul dari Suatu Modul Afdhaluzzikri, Muhammad Ambar, Jinan submodul torsi submodul bebas submodul siklik submodul idempotent submodul murni torsion submodule free submodule cyclic submodule indepotent submodule pure submodule In the context of group cohomology, free modules are used to construct projective resolutions, while torsion modules play a significant role. In the theory of invariants, free modules describe all polynomial invariants, whereas torsion modules are relevant in the study of modular invariants. In elliptic curve cryptography, torsion points ensure security, with free modules used for arithmetic operations. The article also discusses the structure and properties of submodule types such as torsion, free, indecomposable, cyclic, and pure submodules, highlighting the importance of understanding the various applications of free and torsion modules. Dalam konteks kohomologi grup, modul bebas digunakan untuk konstruksi resolusi proyekif dan modul torsi memiliki peran penting. Dalam teori invariant, modul bebas digunakan untuk menjabarkan invariant polinomial, sedangkan modul torsi relevan dalam studi modular invariant. Dalam kriptografi kurva eliptik, titik-titik torsi digunakan untuk keamanan, dengan modul bebas digunakan untuk operasi aritmetika. Artikel ini juga membahas struktur dan sifat submodul seperti submodul torsi, bebas, indepoten, siklik, dan murni, menekankan pentingnya memahami beragam konteks aplikasi modul bebas dan torsi. Program Studi Matematika 2024-10-02 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/217 10.29303/semeton.v1i2.217 Semeton Mathematics Journal; Vol. 1 No. 2 (2024): October; 62-68 Semeton Mathematics Journal; Vol 1 No 2 (2024): Oktober; 62-68 3062-7737 3063-2137 10.29303/semeton.v1i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/217/144 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/225 2024-09-03T04:11:36Z semeton:ART driver

Application of Centers and Centroid of Graphs in Determining the Strategic Location of Public Facilities Development on Lombok Island Penerapan Pusat Dan Pusat Berat Graf Dalam Penentuan Lokasi Strategis Pembangunan Fasilitas Umum Di Pulau Lombok Lata, Nandha Waldana Awanis, Zata Yumni Aini, Qurratul Strategic locations Center of graph Centroid of graph Lokasi Strategis Pusat Graf Pusat Berat Graf Determining a strategic location in a region can be done using the Center and Centroid of a graph. This involves transforming a region's map into a graph form, then identifying the center and centroid of the graph. The determination of the centroid is done by identifying the minimum spanning tree of the graph using Kruskal's and Prim's algorithms. In this study, strategic location determination was carried out to find suitable places for constructing public facilities such as hospitals, schools, and others on Lombok Island. The results showed that Lenek, Pringgasela, and Suralaga Districts are the most strategic areas in Lombok Timur Regency for building public facilities. For other regencies, namely Lombok Tengah, Lombok Barat, Lombok Utara, and the city of Mataram, one strategic location was found in each, specifically in Praya District, Kediri District, Gangga District, and Selaparang District, respectively. Penentuan lokasi strategis pada suatu wilayah dapat dilakukan menggunakan Pusat dan Pusat Berat graf, dengan mengubah peta suatu wilayah menjadi bentuk graf, kemudian menentukan pusat dan pusat berat graf tersebut, dimana penentuan pusat berat graf dengan menentukan pohon merentang minimum dari graf menggunakan Algoritma Kruskal dan Prim. Dalam penelitian ini, dilakukan penentuan lokasi strategis untuk tempat membangun sarana umum seperti rumah sakit, sekolah atau lain-lain di Pulau Lombok. Hasil yang diperoleh menunjukkan bahwa Kecamatan Lenek, Pringgasela, dan Suralaga adalah daerah paling strategis di Kabupaten Lombok Timur untuk ditempati membangun sarana kepentingan umum. Kabupaten lainnya yaitu Lombok Tengah, Lombok Barat, Lombok Utara, dan Kota Mataram masing-masing diperoleh satu lokasi strategis yaitu pada Kecamatan Praya, Kecamatan Kediri, Kecamatan Gangga, dan Kecamatan Selaparang. Program Studi Matematika 2024-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/225 10.29303/semeton.v1i1.225 Semeton Mathematics Journal; Vol. 1 No. 1 (2024): April; 43-53 Semeton Mathematics Journal; Vol 1 No 1 (2024): April; 43-53 3062-7737 3063-2137 10.29303/semeton.v1i1 ind https://eigen.unram.ac.id/index.php/semeton/article/view/225/136 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/227 2024-10-02T01:59:23Z semeton:ART driver

Solving Irreducible Polynomials over Zp and GCD, LCM of Two Polynomials over Fn Using Python Penyelesaian Polinomial Irreducible pada Zp dan FPB, KPK Dua Polinomial pada Fn Menggunakan Python Nusantara, Yudha Sakti Maulana, Wahyu Reducible Polynomial GCD LCM Python Polinomial Irreducible FPB KPK Python This research aims to solve the irreducible polynomial problem over finite field ​Zp and determine the Greatest Common Divisor (GCD) and Least Common Multiple (LCM) of two polynomials over finite field Fn using Python programming language. In the digital age, programming plays an important role in various disciplines. Python, with its simple syntax and computational libraries like SymPy, has become a top choice among the various programming languages available. Polynomials appear frequently in the computer field, especially in cryptographic algorithms, data compression, and error coding. This research utilizes Euclid's Algorithm to determine the GCD and LCM of two polynomials over a finite field Fn, as well as evaluate the irreducibility of polynomials over a finite field ​Zp. Determining irreducibility is very important in polynomial theory and is a challenging task if done manually. With the help of Python, this research produces a script or syntax that is able to automate the process, thus saving time and reducing complexity. The final result of this research is an effective Python script or syntax to determine the GCD and LCM of two polynomials over Fn, as well as evaluate whether a polynomial is reducible or irreducible over ​Zp. Penelitian ini bertujuan untuk menyelesaikan masalah polinomial irreducible atas lapangan hingga Zp​ dan menentukan Faktor Persekutuan Terbesar (FPB) serta Kelipatan Persekutuan Terkecil (KPK) dari dua polinomial atas lapangan hingga Fp menggunakan bahasa pemrograman Python. Dalam era digital, pemrograman memainkan peran penting dalam berbagai disiplin ilmu. Python, dengan sintaksis sederhana dan library komputasi seperti SymPy, telah menjadi pilihan utama di antara berbagai bahasa pemrograman yang ada. Polinomial sering muncul dalam bidang komputer, terutama dalam algoritma kriptografi, kompresi data, dan pengkodean kesalahan. Penelitian ini memanfaatkan Algoritma Euclid untuk menentukan FPB dan KPK dua polinomial atas lapangan hingga Fn , serta mengevaluasi irreducibility polinomial atas lapangan hingga Zp​. Penentuan irreducibility adalah hal yang sangat penting  dalam teori polinomial dan merupakan tugas yang menantang jika dilakukan secara manual. Dengan bantuan Python, penelitian ini menghasilkan skrip atau syntax yang mampu mengotomatisasi proses tersebut, sehingga menghemat waktu dan mengurangi kompleksitas. Hasil akhir penelitian ini adalah sebuah skrip atau syntax Python yang efektif untuk menentukan FPB dan KPK dua polinomial atas Fn , serta mengevaluasi apakah suatu polinomial adalah reducible atau irreducible atas Zp. Program Studi Matematika 2024-10-07 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/227 10.29303/semeton.v1i2.227 Semeton Mathematics Journal; Vol. 1 No. 2 (2024): October; 69-77 Semeton Mathematics Journal; Vol 1 No 2 (2024): Oktober; 69-77 3062-7737 3063-2137 10.29303/semeton.v1i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/227/146 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/239 2024-10-02T01:59:23Z semeton:ART driver

Quality Control Of Packaged Drinking Water Production Using Control Chart Decision On Belief Pengendalian Kualitas Produksi Air Minum Dalam Kemasan Menggunakan Peta Kendali Halifatunnisa, Nur Baskara, Zulhan Widya Harsyiah, Lisa Bottled water, statistical quality control, Decision On Belief, Average Run Length. Decision On Belief Production Defect Statistical quality control The most popular drinking water product produced by PT.X is the 220 ml glass packaging product. This product experienced the most production defects at 0.086% of total production. Based on observations that have been made, there are several problems that cause defective products, such as damaged packaging and poor water quality. So PT.X in maintaining production quality must improve the process of maintaining quality control. The aim of this research is in line with the problems faced by PT.X, namely controlling the quality of bottled drinking water using a decision on belief control chart. Control charts are used to monitor whether product defect data is statistically controlled or not. One of the control charts used to monitor whether product defect data is statistically controlled or not is the Decision on Belief control chart, because the Decision on Belief control chart is more sensitive to data shifts so that faster in detecting data that goes outside control limits or is out of control. Based on the graph of the results of the decision on belief control chart, of the 25 data there are 24 data that are out of the upper control limit and the lower control limit, meaning that the decision on belief control chart is sensitive to data shifts in detecting out of control data. Based on the results of the average run length calculation, it is concluded that the decision on belief control chart is weak in detecting out of control data because the shift value obtained is getting bigger. The most popular drinking water product produced by PT.X is the 220 ml glass packaging product. This product experienced the most production defects at 0.086% of total production. Based on observations that have been made, there are several problems that cause defective products, such as damaged packaging and poor water quality. So PT.X in maintaining production quality must improve the process of maintaining quality control. The aim of this research is in line with the problems faced by PT.X, namely controlling the quality of bottled drinking water using a decision on belief control chart. Control charts are used to monitor whether product defect data is statistically controlled or not. One of the control charts used to monitor whether product defect data is statistically controlled or not is the Decision on Belief control chart, because the Decision on Belief control chart is more sensitive to data shifts so that faster in detecting data that goes outside control limits or is out of control. Based on the graph of the results of the decision on belief control chart, of the 25 data there are 24 data that are out of the upper control limit and the lower control limit, meaning that the decision on belief control chart is sensitive to data shifts in detecting out of control data. Based on the results of the average run length calculation, it is concluded that the decision on belief control chart is weak in detecting out of control data because the shift value obtained is getting bigger. Program Studi Matematika 2024-10-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/239 10.29303/semeton.v1i2.239 Semeton Mathematics Journal; Vol. 1 No. 2 (2024): October; 90-96 Semeton Mathematics Journal; Vol 1 No 2 (2024): Oktober; 90-96 3062-7737 3063-2137 10.29303/semeton.v1i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/239/148 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/240 2024-10-02T01:59:23Z semeton:ART driver

Design of Facial Expressions Recognition for Academic Presence By Using Backpropagation Artificial Neural Networks Based on Principal Components Analysis Setiawati, Setiawati Zahro, Uswatun Az Robbaniyyah, Nuzla Af'idatur Ihwani, Ivan Luthfi artificial neural networks backpropagation principal component analysis There are 4,004 universities in Indonesia where each university needs data to find out student activities, one of which is through attendance. Some universities in Indonesia still use manual attendance systems and attendance systems through the website. This system has several obstacles that require solutions. Therefore, a more concise system is needed to assist students in filling in the attendance. This research aims to make a design to make academic presence for students by using neural network. There are many methods that can be used to create this system including using Principal Component Analysis (PCA) based on Backlpropagation Neural Network (BNN) because it can help the system perform faster and more accurately without losing important information. After carrying out a series of steps of algorithm designed for student attendance, we get the recognition of facial image expressions by using ANN Backpropagation  and recognition of facial image expression with PCA. Program Studi Matematika 2024-10-15 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/240 10.29303/semeton.v1i2.240 Semeton Mathematics Journal; Vol. 1 No. 2 (2024): October; 97-104 Semeton Mathematics Journal; Vol 1 No 2 (2024): Oktober; 97-104 3062-7737 3063-2137 10.29303/semeton.v1i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/240/149 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/241 2024-10-02T01:59:23Z semeton:ART driver

Modeling Maternal Mortality Rate (MMR) In Indonesia Using Mixed Geographically Weighted Regression (MGWR) Pemodelan Angka Kematian Ibu (AKI) Di Indonesia Menggunakan Mixed Geographically Weighted Regression (MGWR) Lawwamah, Tamsilul Harsyiah, Lisa Aini, Qurratul Adaptive Gaussian Kernel, AIC, Maternal Mortality Rate (MMR), Mixed Geographically Weighted Regression (MGWR). Adaptive Gaussian Kernel, AIC, Angka Kematian ibu (AKI), Mixed Geographycally Weighted Regression (MGWR). Maternal Mortality Rate (MMR) is on of the targets for a  achieving the Sustainable Development Goals (SDGs). The aim of this research is to find the right model for estimating MMR and to look at the factors that influence MMR in Indonesia. Estimation were carried out using the Mixed Geographically Weigthed Regression (MGWR) model. The MGWR model is a combination of GWR and linear regression with variables that  having influence locally and some globally. The results obtained are that the MGWR model is superior the GWR model, because  the smallest AIC value for MGWR is 463,0564. Factors that have significant influence using the adaptive Gaussian kernel weighting are postpartum mothers (x4) , postpartum mothers receiving vitamin A (x5), giving Fe3 tablets to pregnant women (x6) ,  and handling obstetric complications (x7). Angka Kematian Ibu (AKI) menjadi salah satu target pencapaian Sustainable Development Goals (SDGs). Tujuan dari penelitian ini untuk mencari model yang tepat dalam mengestimasi  AKI  serta melihat factor-faktor yang mempengaruhi AKI di Indonesia.  Penelitian ini  menggunakan data sekunder yang diambil dari Profil Kesehatan Indonesia tahun 2021. Estimasi parameter menggunakan  model Mixed Geographically Weigthed Regression (MGWR). Model MGWR merupakan gabungan dari  GWR dan  regresi linier  dengan variabel berpengaruh secara lokal dan sebagian secara global. Hasil yang diperoleh yaitu model MGWR lebih unggul dibandingkan model GWR, karena nilai AIC terkecil  MGWR  sebesar 463,0564.  Faktor yang berpengaruh secara signifikan  menggunakan pembobot adaptive Gaussian kernel yaitu ibu nifas (x4), ibu nifas mendapat kapsul Vitamin A (x5), pemberian tablet Fe3 pada ibu hamil (x6) dan penanganan komplikasi kebidanan (x7). Program Studi Matematika 2024-10-14 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/241 10.29303/semeton.v1i2.241 Semeton Mathematics Journal; Vol. 1 No. 2 (2024): October; 78-89 Semeton Mathematics Journal; Vol 1 No 2 (2024): Oktober; 78-89 3062-7737 3063-2137 10.29303/semeton.v1i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/241/147 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/257 2025-04-30T06:37:46Z semeton:ART driver

Trends Analysis Between The Relationship Rice Harvest and Rice Productivity in Nusa Tenggara Province Hamdiah, Yulinda Raudatul Robbaniyyah, Nuzla Af'idatur Harvested area rice productivity crop cutting survey monthly trends This study aims to analyze the monthly trends in rice productivity and harvested area in West Nusa Tenggara (NTB) Province in 2023 and identify the relationship between these two variables. The data used in this research were obtained through a rice crop cutting survey based on the Area Sample Frame (KSA) method conducted by the Central Statistics Agency. Productivity was calculated based on the amount of yield produced per unit area of land each month. The results showed that rice productivity in NTB Province fluctuated, with the highest productivity recorded in January at 56.54 quintals per hectare (ku/ha) and the lowest in June at 48.40 ku/ha. Similarly, the harvested area varied, with the largest area recorded in March at 73,766 hectares and the smallest in December at 5,382 hectares. The analysis of the relationship between harvested area and rice productivity revealed an inverse pattern, where an increase in harvested area was not always accompanied by an increase in productivity. Therefore, rice productivity and harvested area are more influenced by external factors and do not directly affect each other. Program Studi Matematika 2025-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/257 10.29303/semeton.v2i1.257 Semeton Mathematics Journal; Vol. 2 No. 1 (2025): April; 1-7 Semeton Mathematics Journal; Vol 2 No 1 (2025): April; 1-7 3062-7737 3063-2137 10.29303/semeton.v2i1 eng https://eigen.unram.ac.id/index.php/semeton/article/view/257/160 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/262 2025-04-30T06:37:46Z semeton:ART driver

Analisis Submodul dan Sifat Keprimaan dalam Ruang Modul Analisis Submodul dan Sifat Keprimaan dalam Ruang Modul Musyarrofah, Sefti Fajriatul Karang, I Gusti Yogananda Hisan, Khairatun Luzianawati, Luzianawati Free Module Torsion-Free Module Annihilator Prime Submodule Nearly Prime Submodule Free Module Torsion-Free Module Annihilator This study analyzes prime submodules and primality properties in module spaces, fundamental topics in abstract algebra. The primary objective is to determine conditions for prime submodule formation in commutative rings and to examine their relationship with nearly prime submodules. The approach employed involves the decomposition of modules in principal ideal domains, with particular attention given to the concepts of annihilators, submodule orders, and the characteristics of torsion-free quotient modules. The findings indicate that nearly prime submodules can only be regarded as prime submodules in free modules. Furthermore, the module decomposition approach proves effective for gaining a comprehensive understanding of module structures. The concepts of annihilators and submodule orders provide profound insights into the relationships between module elements and ring elements. This study offers significant theoretical contributions to abstract algebra and establishes a foundation for further developments, particularly in applications related to number theory and cryptography. Penelitian ini membahas analisis submodul prima serta sifat keprimaan dalam ruang modul, yang merupakan bagian penting dalam kajian aljabar abstrak. Fokus utama penelitian ini adalah mengidentifikasi kondisi pembentukan submodul prima dalam ring komutatif dan mengeksplorasi hubungannya dengan submodul hampir prima. Pendekatan yang digunakan melibatkan dekomposisi modul dalam domain ideal utama, dengan perhatian khusus pada konsep annihilator, orde submodul, dan karakteristik modul hasil bagi bebas torsi. Hasil penelitian menunjukkan bahwa submodul hampir prima hanya dapat dianggap sebagai submodul prima pada modul bebas. Selain itu, pendekatan dekomposisi modul terbukti efektif dalam memahami struktur modul secara menyeluruh. Konsep annihilator dan orde submodul memberikan pandangan yang mendalam terhadap hubungan antara elemen modul dan elemen ring. Studi ini menawarkan kontribusi teoritis yang penting dalam aljabar abstrak dan memberikan landasan untuk pengembangan lebih lanjut, khususnya dalam aplikasi teori bilangan dan kriptografi. Program Studi Matematika 2025-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/262 10.29303/semeton.v2i1.262 Semeton Mathematics Journal; Vol. 2 No. 1 (2025): April; 53-59 Semeton Mathematics Journal; Vol 2 No 1 (2025): April; 53-59 3062-7737 3063-2137 10.29303/semeton.v2i1 eng https://eigen.unram.ac.id/index.php/semeton/article/view/262/166 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/263 2025-04-30T06:37:46Z semeton:ART driver

Eksplorasi Modul Noetherian Eksplorasi Modul Noetherian Umam, Ashadul Mifftahurrahman, Mifftahurrahman Pratiwi, Lia Fitta Modul Noetherian kondisi rantai naik topologi aljabar teori cincin aljabar homologi Noetherian modules ascending chain condition ring theory homological algebra algebraic topology Noetherian Modules are a fundamental concept in algebra, providing a structured framework for studying algebraic structures. These modules satisfy the ascending chain condition (ACC), which ensures that every ascending chain of submodules terminates after a finite number of steps. This article explores the definition, key properties, and applications of Noetherian modules in ring theory, homological algebra, and algebraic topology. Through this discussion, it is demonstrated that Noetherian Modules play a crucial role in analyzing ideal structures and more complex algebraic representations. The article also provides concrete examples to illustrate the properties and significance of Noetherian modules across various branches of algebra. Modul Noetherian adalah salah satu konsep penting dalam aljabar yang digunakan untuk mempelajari struktur aljabar dengan lebih terorganisir. Modul ini memenuhi kondisi rantai naik (ascending chain condition), yang berarti setiap rantai naik submodul akan berhenti setelah sejumlah langkah tertentu. Artikel ini membahas definisi, sifat-sifat utama, dan aplikasi modul Noetherian dalam teori cincin, aljabar homologi, serta topologi aljabar. Melalui pembahasan ini, diperlihatkan bahwa modul Noetherian memainkan peran penting dalam analisis struktur ideal dan representasi aljabar yang lebih kompleks. Artikel ini juga menyajikan beberapa contoh konkret yang membantu memahami sifat dan peran modul Noetherian dalam berbagai cabang aljabar Program Studi Matematika 2025-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/263 10.29303/semeton.v2i1.263 Semeton Mathematics Journal; Vol. 2 No. 1 (2025): April; 42-46 Semeton Mathematics Journal; Vol 2 No 1 (2025): April; 42-46 3062-7737 3063-2137 10.29303/semeton.v2i1 eng https://eigen.unram.ac.id/index.php/semeton/article/view/263/164 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/267 2025-04-30T06:37:46Z semeton:ART driver

Pengaruh metode pembelajaran project based learning terhadap motivasi belajar mahasiswa prodi matematika FMIPA Universitas Mataram Ayudia, Nurul Ulya Pradana, Satriawan Juliansyah, Wahyu Ari Pratama, Muhammad Imran Ade Auladi, Muhammad Yuzaul Purnamasari, Nur Asmita Project-Based Learning Learning Motivation Multiple Linear Regression project based learning; motivasi belajar; teknik sampling This study evaluates the impact of the Project-Based Learning (PBL) method on the learning motivation of Mathematics students at FMIPA Universitas Mataram. The primary objective is to assess the effectiveness of PBL in enhancing learning motivation and to explore the influencing factors, namely Facilities (X₁), Lecturer Role (X₂), and Skill Development (X₃). This research employs a quantitative descriptive method, with a population of 257 Mathematics students from FMIPA Universitas Mataram, covering the 2020–2023 cohorts. The sample is determined using the Stratified Random Sampling method. Data were collected through research instruments that had been tested for validity and reliability. Data analysis was conducted using descriptive analysis (pie charts, bar charts, histograms, and scatter plots) and multiple linear regression to identify the influence of the independent variables (X₁, X₂, X₃) on (Y). The findings indicate that 63.8% of the variation in learning motivation (Y) can be explained by Facilities (X₁), Lecturer Role (X₂), and Skill Development (X₃). Both simultaneous and partial tests confirm that all independent variables contribute significantly to students’ learning motivation. These results suggest that the PBL method is not only effective in enhancing learning motivation but also holds potential as an innovative teaching strategy in higher education. Penelitian ini mengevaluasi pengaruh metode Project Based Learning (PBL) terhadap motivasi belajar mahasiswa Matematika di FMIPA Universitas Mataram. Tujuan penelitian adalah menilai dampak Project Based Learning terhadap motivasi belajar mahasiswa Matematika FMIPA Universitas Mataram. Penelitian ini dapat dijadikan sebagai bahan evaluasi tentang efektivitas PBL dalam memberikan peningkatan terhadap motivasi belajar dan relevansi pendidikan tinggi. Jenis penelitian yang digunakan peneliti pada penelitian ini berupa deskriptif melalui pendekatan kuantitatif. Populasi pada penelitian ini berupa mahasiswa Matematika FMIPA Universitas Mataram dengan total 257, yaitu angkatan 2020-2023 dimana sampelnya ditentukan dengan metode Stratified Random Sampling. Pada tahap pengujian keseluruhan variabel pertanyaan dikatakan valid dan reliabel karena telah memenuhi syarat. Kemudian berdasarkan analisis deskriptif berupa diagram lingkaran, diagram batang, histogram dan scatter plot didapatkan kesimpulan yaitu ada pengaruh terhadap motivasi belajar mahasiswa Matematika FMIPA Universitas Mataram berdasarkan metode pembelajaran Project Based Learning Program Studi Matematika 2025-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/267 10.29303/semeton.v2i1.267 Semeton Mathematics Journal; Vol. 2 No. 1 (2025): April; 30-41 Semeton Mathematics Journal; Vol 2 No 1 (2025): April; 30-41 3062-7737 3063-2137 10.29303/semeton.v2i1 eng https://eigen.unram.ac.id/index.php/semeton/article/view/267/163 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/271 2025-04-30T06:37:46Z semeton:ART driver

Analisis Pola Periodik Harga Saham Coca-Cola Menggunakan Deret Fourier dalam Pendekatan Regresi Nonparametrik Analisis Pola Periodik Harga Saham Coca-Cola Menggunakan Deret Fourier dalam Model Regresi Linear Karang, Gusti Yogananda Hardi, Rida Alkausar Rizki, Miptahul Robbaniyyah, Nuzla Af'idatur Rusadi, Tri Maryono Deret fourier; harga saham; prediksi; Coca-Cola. Fourier series stock prices prediction Coca-Cola This study aims to identify periodic patterns and predict the movement of Coca-Cola (KO) stock prices using Fourier series in a linear regression model. The data utilized includes daily closing stock prices over the 2014-2024 period. A Fourier model with 15 harmonic components was chosen to optimize the balance between prediction accuracy and the risk of overfitting. The analysis results showed an R-squared value of 0.9174, indicating a high capability of capturing stock price variations. The detected price fluctuations reveal significant seasonal cycles and periodic trends. The price forecast for the 2024-2029 period indicates potential higher volatility, influenced by consumer demand dynamics, global economic uncertainty, product innovation, as well as geopolitical factors and climate change. These findings provide insights for investors to develop investment strategies based on the detected stock price fluctuation patterns. Penelitian ini bertujuan untuk mengidentifikasi pola periodik dan memprediksi pergerakan harga saham Coca-Cola (KO) menggunakan deret Fourier dalam model regresi linear. Data yang digunakan mencakup harga penutupan harian saham selama periode 2014-2024. Model Fourier dengan 15 komponen harmonik dipilih untuk mengoptimalkan keseimbangan antara akurasi prediksi dan risiko overfitting. Hasil analisis menunjukkan bahwa model memiliki nilai R-squared sebesar 0,9174, mengindikasikan kemampuan yang tinggi dalam menangkap variasi harga saham. Fluktuasi harga yang terdeteksi menunjukkan adanya siklus musiman dan tren periodik yang signifikan. Prediksi harga untuk periode 2024-2029 menunjukkan potensi volatilitas yang lebih tinggi, dipengaruhi oleh dinamika permintaan konsumen, ketidakpastian ekonomi global, inovasi produk, serta faktor geopolitik dan perubahan iklim. Temuan ini memberikan wawasan bagi investor dalam mengembangkan strategi investasi berdasarkan pola fluktuasi harga saham. Program Studi Matematika 2025-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/271 10.29303/semeton.v2i1.271 Semeton Mathematics Journal; Vol. 2 No. 1 (2025): April; 8-16 Semeton Mathematics Journal; Vol 2 No 1 (2025): April; 8-16 3062-7737 3063-2137 10.29303/semeton.v2i1 eng https://eigen.unram.ac.id/index.php/semeton/article/view/271/161 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/273 2025-04-30T06:37:46Z semeton:ART driver

Pengendalian Kualitas Produk Spon Kasur Menggunakan Exponentially Weighted Moving Average (Ewma) pada UD. Celcius Gegutu Timur Lingking, Fransiska Prisilia Harsyiah, Lisa Sulistyowati, Emmy Dyah Asri, Adis Tia Juli Agil ARL Capability EWMA Mattress Sponge Quality Problems that arise at UD. Celsius, one of the manufacturers of sponge mattress products in the East Gegutu area, said that differences in product weight will cause a decrease in product quality. Consequently, here, quality is of primary concern. Because the Exponentially Weighted Moving Average (EWMA) control chart can detect small average changes, this study aims to examine the quality control of mattress sponge products using this chart. The information used relates to the mass of a mattress sponge product measuring 160×120×25 cm, with four variables, namely X_1,X_2,X_3 and X_4, Quality control in this research uses a weighting factor value of  = 0.4. Based on the research results, the assumption that is not fulfilled is the assumption of data randomness, so that the EWMA control chart pattern formed shows that the data is not statistically controlled. However, there is no data that is out of control, so in this study the Average Run Length (ARL) value of 27,204 indicates that there will be data that is first out of control, namely the 27th or 28th data. And the results of the capability analysis of the process show that the production process is not capable because the values of Cp=0.3432 and Cpk=0.3373 where the values of Cp,Cpk<1, this is due to the influencing factors, namely man, machine, material and method factors. Program Studi Matematika 2025-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/273 10.29303/semeton.v2i1.273 Semeton Mathematics Journal; Vol. 2 No. 1 (2025): April; 17-29 Semeton Mathematics Journal; Vol 2 No 1 (2025): April; 17-29 3062-7737 3063-2137 10.29303/semeton.v2i1 eng https://eigen.unram.ac.id/index.php/semeton/article/view/273/162 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/282 2025-04-30T06:37:46Z semeton:ART driver

Sejarah dan Definisi Klasik Fungsi Konveks Sejarah dan Definisi Klasik Fungsi Konveks Mas'ud, Syamsuddin konveksitas ketaksamaan Jensen teori optimisasi convexity Jensen’s inequality optimiztion theory The concept of convexity is a fundamental pillar in optimization theory and inequality analysis. This article aims to review the history and classical definition of convex functions through a literature-based approach. The literature reviewed includes works by Jensen [1], Rockafellar [2], Boyd & Vandenberghe [3], and Niculescu & Persson [4]. The analysis highlights the connection between the geometric definition of convex functions and Jensen's inequality, which demonstrates the consistency of inequality structures in both deterministic and probabilistic contexts. This study emphasizes that Jensen's inequality not only extends the concept of convex functions in probability theory but also strengthens the understanding of its geometric definition in classical analysis. This article is intended to serve as an introduction for students and researchers wishing to comprehend the foundational structure of convexity in modern mathematical theory. Konsep konveksitas merupakan pilar penting dalam teori optimisasi dan analisis ketaksamaan. Artikel ini bertujuan meninjau sejarah dan definisi klasik fungsi konveks melalui pendekatan kajian pustaka. Literatur yang dikaji meliputi karya Jensen (1906), Rockafellar (1970), Boyd & Vandenberghe (2004), serta Niculescu & Persson (2006). Analisis menyoroti keterkaitan antara definisi geometris fungsi konveks dan ketaksamaan Jensen, yang menunjukkan konsistensi struktur ketaksamaan baik dalam konteks deterministik maupun probabilistik. Studi ini menegaskan bahwa ketaksamaan Jensen tidak hanya memperluas konsep fungsi konveks dalam teori probabilitas, tetapi juga memperkuat pemahaman definisi geometrisnya dalam analisis klasik. Artikel ini diharapkan dapat menjadi pengantar bagi mahasiswa dan peneliti yang ingin memahami struktur dasar kekonveksan dalam teori matematika modern.   Program Studi Matematika 2025-04-30 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/282 10.29303/semeton.v2i1.282 Semeton Mathematics Journal; Vol. 2 No. 1 (2025): April; 47-52 Semeton Mathematics Journal; Vol 2 No 1 (2025): April; 47-52 3062-7737 3063-2137 10.29303/semeton.v2i1 eng https://eigen.unram.ac.id/index.php/semeton/article/view/282/165 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/284 2025-10-28T00:30:24Z semeton:ART driver

Optimisasi Linear dan Kuadratik: Tinjauan Literatur Optimisasi Linear dan Kuadratik: Tinjauan Literatur Mas'ud, Syamsuddin Convex Optimization Linear Optimization Quadratic Optimization Convex Optimization Linear Optimization Quadratic Optimization Convex Optimization plays a crucial role in various scientific and industrial applications, such as economics, engineering, and computer science, with a primary focus on linear and quadratic optimization. This study examines the characteristics and comparison between linear and quadratic optimization, two main subclasses of convex optimization. Linear optimization (LP) is characterized by a linear objective function and linear constraints, where classical methods such as Simplex and Interior-Point are used for efficient solutions. In contrast, quadratic optimization (QP) involves a convex quadratic objective function with linear constraints, requiring more complex methods such as Karush-Kuhn-Tucker (KKT) factorization, Schur-Complement, Null-Space, Active-Set, and Interior-Point for solving. This paper summarizes various solution methods for both types of optimizations and compares their strengths and limitations. The key findings indicate that linear optimization is simpler and more efficient, while quadratic optimization offers greater flexibility in modeling problems with more complex structures. The study concludes that a deep understanding of both approaches is essential for the development of more efficient and applicable convex optimization algorithms. Convex Optimization plays a crucial role in various scientific and industrial applications, such as economics, engineering, and computer science, with a primary focus on linear and quadratic optimization. This study examines the characteristics and comparison between linear and quadratic optimization, two main subclasses of convex optimization. Linear optimization (LP) is characterized by a linear objective function and linear constraints, where classical methods such as Simplex and Interior-Point are used for efficient solutions. In contrast, quadratic optimization (QP) involves a convex quadratic objective function with linear constraints, requiring more complex methods such as KKT factorization, Schur-Complement, Null-Space, Active-Set, and Interior-Point for solving. This paper summarizes various solution methods for both types of optimizations and compares their strengths and limitations. The key findings indicate that linear optimization is simpler and more efficient, while quadratic optimization offers greater flexibility in modeling problems with more complex structures. The study concludes that a deep understanding of both approaches is essential for the development of more efficient and applicable convex optimization algorithms. Program Studi Matematika 2025-10-27 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/284 10.29303/semeton.v2i2.284 Semeton Mathematics Journal; Vol. 2 No. 2 (2025): Oktober; 119-125 Semeton Mathematics Journal; Vol 2 No 2 (2025): Oktober; 119-125 3062-7737 3063-2137 10.29303/semeton.v2i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/284/179 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/295 2025-05-27T03:45:49Z semeton:ART driver

Analisis Faktor-Faktor yang Mempengaruhi Perilaku Memilih Mahasiswa Gen-Z Universitas Mataram pada Pilgub NTB 2024 Analisis Minat Pemilih Mahasiswa Gen Z di Universitas Mataram Terhadap Pemilihan Gubernur Di NTB Tahun 2024 Amini, Elsa Fauzi, Meilinda Ramdhani, Triana Putri Ulfaturrahmi, Ulfaturrahmi Putri, Dina Eka Baskara, Zulhan Widya Generation Z Gubernatorial Election Political Participation Generasi Z Pemilu Psikologis Sosiologis Rasional This study aims to analyze the determinants of voting behavior among Generation Z students in the context of the 2024 Gubernatorial Election in West Nusa Tenggara (NTB), Indonesia. Utilizing a quantitative approach, the research applies multiple linear regression to examine the influence of sociological, psychological, and rational factors on voting behavior. Primary data were collected through an online questionnaire distributed to 97 purposively selected active students at the University of Mataram. The instrument employed a 4-point Likert scale to minimize neutral responses. The findings reveal that psychological and rational factors significantly influence voting behavior, whereas sociological factors do not show a statistically significant effect. The regression model yielded an Adjusted R² value of 0.549, indicating that the three independent variables explain 54.9% of the variance in voting behavior. Generasi Z (Gen Z) dikenal sebagai generasi "digital natives" yang sangat dipengaruhi oleh teknologi dan media sosial. Sebagai salah satu segmen pemilih strategis, mahasiswa Gen Z di Nusa Tenggara Barat (NTB) memiliki peran signifikan dalam pemilihan gubernur. Penelitian ini bertujuan untuk menganalisis faktor-faktor yang memengaruhi keputusan mahasiswa Gen Z, termasuk faktor psikologis, sosiologis, dan rasional. Pendekatan yang digunakan adalah kuantitatif dengan analisis regresi berganda, berdasarkan data dari survei daring terhadap 97 mahasiswa Universitas Mataram. Hasil penelitian menunjukkan bahwa faktor psikologis, seperti emosi dan keterlibatan emosional, serta faktor sosiologis, seperti pengaruh lingkungan sosial, memiliki pengaruh signifikan terhadap keputusan memilih. Sebaliknya, faktor rasional, seperti evaluasi program kerja dan rekam jejak kandidat, tidak menunjukkan pengaruh signifikan. Kesimpulan penelitian ini menekankan pentingnya kampanye politik yang menyentuh aspek emosional dan sosial untuk meningkatkan keterlibatan politik mahasiswa Gen Z di NTB. Program Studi Matematika 2025-06-17 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/295 10.29303/semeton.v2i1.295 Semeton Mathematics Journal; Vol. 2 No. 1 (2025): April; 60-71 Semeton Mathematics Journal; Vol 2 No 1 (2025): April; 60-71 3062-7737 3063-2137 10.29303/semeton.v2i1 eng https://eigen.unram.ac.id/index.php/semeton/article/view/295/170 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/299 2025-10-28T00:30:24Z semeton:ART driver

Analisis Faktor-faktor yang Mempengaruhi Ketergantungan Penggunaan ChatGPT pada Pengerjaan Tugas Mahasiswa Universitas Mataram A Analisis Faktor Yang Mempengaruhi Ketergantungan Penggunaan Chatgpt Pada Pengerjaan Tugas Mahasiswa Universitas Mataram Arbyati, Asri Mustika Apriliana, Baiq Nurul Putri, Devi Karina Aisya, Hakiki Latifa Putri, Dina Eka Baskara, Zulhan Widya ChatGPT Artificial Intelligience (AI) ChatGPT Kecerdasan Buatan (AI) The use of artificial intelligence technology, such as ChatGPT, is increasing among students to support their academic assignments. However, dependence on this technology needs to be analyzed to understand the factors that influence it. This study aims to analyze the factors that influence the dependence on the use of ChatGPT in completing assignments of Mataram University students. Sampling was carried out using the quota sampling method, involving 98 respondents who were Mataram University students and ChatGPT users. The method used was multiple linear regression to evaluate the effect of independent variables on dependence, and factor analysis to identify the structure of these variables. Based on the results of the analysis, one main factor was found which was formed from four variables, namely ChatGPT Ease of Use, ChatGPT Reliability, User Satisfaction, and Perceived Benefits. This main factor was able to explain 71.73% of the total data variation, which showed a significant contribution to students' dependence on using ChatGPT. Thus, this study shows that these variables are interrelated and influence the level of students' dependence on ChatGPT in completing academic assignments. Penggunaan teknologi kecerdasan buatan, seperti ChatGPT, semakin meningkat di kalangan mahasiswa untuk mendukung pengerjaan tugas akademik. Namun, ketergantungan terhadap teknologi ini perlu dianalisis untuk memahami faktor-faktor yang memengaruhinya. Penelitian ini bertujuan untuk menganalisis faktor-faktor yang memengaruhi ketergantungan penggunaan ChatGPT pada pengerjaan tugas mahasiswa Universitas Mataram. Pengambilan sampel dilakukan dengan metode quota sampling, yang melibatkan 98 responden yang merupakan mahasiswa Universitas Mataram dan pengguna ChatGPT. Metode yang digunakan adalah regresi linear berganda untuk mengevaluasi pengaruh variabel-variabel independen terhadap ketergantungan, serta analisis faktor untuk mengidentifikasi struktur variabel-variabel tersebut. Berdasarkan hasil analisis, ditemukan satu faktor utama yang terbentuk dari empat variabel, yaitu Kemudahan Penggunaan ChatGPT, Keandalan ChatGPT, Kepuasan Pengguna, dan Persepsi Manfaat. Faktor utama ini mampu menjelaskan 71,73% dari total variasi data, yang menunjukkan kontribusi signifikan terhadap ketergantungan mahasiswa dalam menggunakan ChatGPT. Dengan demikian, penelitian ini menunjukkan bahwa variabel-variabel tersebut saling berkaitan dan memengaruhi tingkat ketergantungan mahasiswa terhadap ChatGPT dalam menyelesaikan tugas akademik. Program Studi Matematika 2025-10-27 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/299 10.29303/semeton.v2i2.299 Semeton Mathematics Journal; Vol. 2 No. 2 (2025): Oktober; 72-83 Semeton Mathematics Journal; Vol 2 No 2 (2025): Oktober; 72-83 3062-7737 3063-2137 10.29303/semeton.v2i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/299/175 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/307 2025-10-28T00:30:24Z semeton:ART driver

Harary Index of the Coprime Graph and Power Graph of the Integer Modulo Group and the Dihedral Group Indeks Harary Graf Koprima dan Graf Pangkat pada Grup Bilangan Bulat Modulo serta Grup Dihedral Luzianawati, Luzianawati Satriyantara, Rio Harary Index Coprime Graph Power Graph Modulo Group Dihedral Group Indeks Harary Graf Koprima Graf Pangkat Grup Modulo Grup Dihedral This study investigates the Harary Index of coprime graphs and power graphs constructed from the integer modulo group and the dihedral group. A coprime graph is defined as a graph whose vertices represent the elements of a group, where two vertices are adjacent if the orders of the corresponding elements are relatively prime. Meanwhile, a power graph is a graph in which two elements are connected whenever one is a power of the other within the group. The Harary Index is employed to measure the topological characteristics of the graph based on the distances between its vertices. The results show that the structure of the generated graphs allows for an explicit computation of the Harary Index, particularly for groups whose orders are prime powers.graphs facilitate the calculation of the Harary Index , especially for groups with prime power order. Penelitian ini mengkaji Indeks Harary dari graf koprima dan graf pangkat pada grup bilangan bulat modulo serta grup dihedral. Indeks Harary digunakan untuk mengukur karakteristik graf berdasarkan jarak antar simpul. Hasil menunjukkan bahwa struktur graf yang terbentuk memungkinkan perhitungan Indeks Harary secara eksplisit, terutama untuk grup dengan orde pangkat prima. Program Studi Matematika 2025-10-27 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/307 10.29303/semeton.v2i2.307 Semeton Mathematics Journal; Vol. 2 No. 2 (2025): Oktober; 126-133 Semeton Mathematics Journal; Vol 2 No 2 (2025): Oktober; 126-133 3062-7737 3063-2137 10.29303/semeton.v2i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/307/180 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/314 2025-10-28T00:30:24Z semeton:ART driver

Peramalan Produksi Kedelai di Provinsi Nusa Tenggara Barat menggunakan Model Grey-Markov (1,1) Nurmaulia, Ananda Rizantia Harsyiah, Lisa Purnamasari, Nur Asmita Jurniati, Jurniati Grey-Markov model (1,1) West Nusa Tenggara Forecasting Soybean production The continuously increasing soybean imports are caused by the imblance in domestic soybean produstion. This indicates that nationalsoybean self-sufficiensy has not yet been achieved, as many soybean farmlands have now been converted to other commodities. This condition occurs in West Nusa Tenggara, Which is one of Indonesia’s nationalsoybean production centers. To understand future soybean production conditions, forecasting future soybean production in West Nusa Tenggara province using the grey_markov (1, 1) model. This model only requires minimal data for forecasting, which aligns with the limites research data available. The data used in this study is soybean production data from West Nusa Tenggara province. The research results show that in 2022, soybean production in West Nusa Tenggara province will decline, with the prediction demonstrating good accuracy as indicated by a MAPE value of 15.75%. Program Studi Matematika 2025-10-27 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/314 10.29303/semeton.v2i2.314 Semeton Mathematics Journal; Vol. 2 No. 2 (2025): Oktober; 84-96 Semeton Mathematics Journal; Vol 2 No 2 (2025): Oktober; 84-96 3062-7737 3063-2137 10.29303/semeton.v2i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/314/176 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/317 2025-10-28T00:30:24Z semeton:ART driver

Analysis of Changes in Agricultural Land Area in Central Lombok Regency Using Google Earth Engine Ulatalita, Nabila Anzela Fatanaya, Nafika Ulfa, Kurnia Robbaniyyah, Nuzla Af'idatur Alfian, Muhammad Rijal Google Earth Engine Kappa Accuracy Agriculture Overall Accuracy Agricultural land plays a vital role in supporting food security and the regional economy; however, rapid development often leads to land-use conversion. This study aims to analyze changes in agricultural land in Central Lombok Regency over the past ten years (2014–2023) using the Google Earth Engine (GEE) platform. The research utilized Landsat satellite imagery to classify land cover types and identify agricultural areas through supervised classification and change detection techniques. The analysis results show a significant decline in agricultural land area, from 29% in 2014 to 26% in 2023. This decrease indicates a conversion of agricultural land to other more economically profitable uses, such as infrastructure development and plantation expansion. The accuracy assessment yielded an overall accuracy of 99%, which is categorized as very good, demonstrating the reliability of the model in mapping land-use changes. The findings of this study are expected to provide useful insights for policymakers in promoting sustainable land-use planning and mitigating the negative impacts of land conversion on the agricultural sector in Central Lombok Regency. Program Studi Matematika 2025-10-27 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/317 10.29303/semeton.v2i2.317 Semeton Mathematics Journal; Vol. 2 No. 2 (2025): Oktober; 97-109 Semeton Mathematics Journal; Vol 2 No 2 (2025): Oktober; 97-109 3062-7737 3063-2137 10.29303/semeton.v2i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/317/177 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/318 2025-10-28T00:30:24Z semeton:ART driver

Optimasi Keuntungan Pertanian Melalui Program Linear: Studi Kasus pada Pertanian Padi dan Jagung Cahyani, Ade Indah Meida, Inka Nurul Hasanah, Iswatun Alfian, Muhammad Rijal Maharani, Andika Ellena Saufika Hakim Linear Programming Profit Optimization Land Allocation Rice Farming Corn Farming  Indonesia is an agrarian country with great potential in the agricultural sector, particularly in key commodities such as rice and corn, which play an important role in food security and animal feed. However, limited resources such as land, fertilizer, and labor pose challenges in achieving production efficiency and maximum profits. This study aims to optimize agricultural land allocation to maximize profits using a linear programming model. The case study was conducted on agricultural land owned by a resident of Bajo Village, Bima Regency, West Nusa Tenggara. Primary data was collected through direct interviews, including land area, input requirements (fertilizer, pesticides, herbicides, and labor), and profit per hectare. The model was solved using the graphical method with the assistance of POM-QM for Windows and Google Colab application. The analysis results indicate that the optimal land allocation is 3.65 hectares for rice and 2.54 hectares for corn, yielding a maximum profit of Rp58.906.350,00. This solution meets all available resource constraints. These findings indicate that the linear programming approach is effective in helping farmers make data-driven decisions to improve land and resource management efficiency. The application of this model also opens opportunities for the implementation of similar methods in other sustainable agricultural planning, particularly in the context of small-scale agriculture with limited resources. Program Studi Matematika 2025-10-27 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/318 10.29303/semeton.v2i2.318 Semeton Mathematics Journal; Vol. 2 No. 2 (2025): Oktober; 142-152 Semeton Mathematics Journal; Vol 2 No 2 (2025): Oktober; 142-152 3062-7737 3063-2137 10.29303/semeton.v2i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/318/182 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/319 2025-10-28T00:30:24Z semeton:ART driver

Application of Google Earth Engine for Agriculture Drought Monitoring in East Lombok Robbaniyyah, Nuzla Af'idatur Hidayatunnisa, Nurul Maharani, Rani Ulfa, Kurnia Alfian, Muhammad Rijal Drought Google Earth Engine NDVI NDWI NDDI In tropical regions such as East Lombok Regency, where food production is highly dependent on rainfall, drought poses a major threat to the agricultural sector. This study aims to monitor drought patterns over time using Google Earth Engine (GEE). Vegetation indices, including the Normalized Difference Vegetation Index (NDVI), Normalized Difference Water Index (NDWI), and Normalized Difference Drought Index (NDDI), were derived from Landsat 8 satellite imagery. The analysis revealed that during the dry season, particularly in August and September, the southern region—especially Jerowaru Sub-district—experienced severe drought conditions. The western parts, including Sambelia, Pringgabaya, and Suela Sub-districts, were also significantly affected, with the most impacted areas being rain-fed rice fields, corn plantations, and mixed horticultural crops. Temporal trend analysis indicated an increasing drought intensity in the later years of observation. The resulting information can support decision-making in drought risk mitigation and sustainable water resource management. By integrating satellite-based drought assessment with agricultural planning, this approach can strengthen food security and promote adaptive agricultural practices in drought-prone regions such as East Lombok Regency. Program Studi Matematika 2025-10-27 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/319 10.29303/semeton.v2i2.319 Semeton Mathematics Journal; Vol. 2 No. 2 (2025): Oktober; 134-141 Semeton Mathematics Journal; Vol 2 No 2 (2025): Oktober; 134-141 3062-7737 3063-2137 10.29303/semeton.v2i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/319/181 https://creativecommons.org/licenses/by-sa/4.0

oai:ojs.eigen.unram.ac.id:article/324 2025-10-28T00:30:24Z semeton:ART driver

Pengendalian Kualitas Produksi Air Minum dalam Kemasan (AMDK) Menggunakan Diagram Kendali MCUSUM dan MEWMA Sari, Kurnia Mahraini Kartika Harsyiah, Lisa Baskara, Zulhan Widya AMDK MCUSUM MEWMA ARL Quality control in the water production process at PT. X is an essential activity to ensure the quality of packaged drinking water (AMDK) is fit for consumption. Therefore, the water quality of PT. X production must always be closely monitored. To guarantee the safety of drinking water, it must meet microbiological, radioactive, Physical, and chemical requirements according to the regulations stipulated in the Indonesian Ministry of Health Regulation Number 2 of 2023. Quality control is performed using MEWMA and MCUSUM control charts since these control charts can detect shifts in the process mean. The results of applying MCUSUM and MEWMA control charts indicate that the water production quality is statistically out of control. After monitoring, it was found that PH is the most influential variable causing out-of-control situations. An ARL test was conducted to obtain a control chart with the best performance, where a smaller ARL value indicates better sensitivity in detecting shifts in the process mean. The MCUSUM control chart outperforms the MEWMA control chart, with an ARL value of  and parameters  and , compared to ARL MEWMA of with weighting parameter  and . Program Studi Matematika 2025-10-27 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Peer-reviewed Article application/pdf https://eigen.unram.ac.id/index.php/semeton/article/view/324 10.29303/semeton.v2i2.324 Semeton Mathematics Journal; Vol. 2 No. 2 (2025): Oktober; 110-118 Semeton Mathematics Journal; Vol 2 No 2 (2025): Oktober; 110-118 3062-7737 3063-2137 10.29303/semeton.v2i2 eng https://eigen.unram.ac.id/index.php/semeton/article/view/324/178 https://creativecommons.org/licenses/by-sa/4.0