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All Journal Journal of Science and Technology Mathematics and Applications (MAp) Journal Jurnal Hasi Penelitian Dan Pengkajian Ilmiah Eksakta - JPPIE Jurnal Sains dan Teknologi Journal of Applied Mathematics and Modelling
Putri, Nurweni
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KETERKAITAN ANTARA KONVERGEN ALMOST SURELY, KONVERGEN DALAM PROBABILITAS, KONVERGEN DALAM MEAN, DAN KONVERGEN DALAM DISTRIBUSI Agusta, Vira; Putri, Nurweni; Syahrul, Maya Sari
MAp (Mathematics and Applications) Journal Vol 1, No 2 (2019)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (470.116 KB) | DOI: 10.15548/map.v1i2.1177

Abstract

Pada penelitian ini mengkaji keterkaitan antara konvergen almost surely, konvergen dalam probabilitas, konvergen dalam mean, dan konvergen dalam distribusi. Jika barisan variabel random  konvergen almost surely ke suatu variabel random X, maka konvergen dalam probabilitas ke variabel random ke X. Jika barisan variabel random  konvergen dalam probabilitas ke variabel random X maka konvergen dalam mean ke  X. Jika barisan variabel random  konvergen dalam probabilitas ke variabel random X maka konvergen dalam distribusi ke X.AbstractIn this research the relations between convergence almost surely, convergence in probability, convergence in mean, and convergence in distribution. If the sequence of random variables  converges almost surely to a random variable X, then it converges in probability to the random variable to X. If the sequence of random variables  converges in probability to a random variable X, then it converges in mean to the random variable to X. If the sequence of random variables  converges in probability to a random variable X, then it converges in the distribution to the random variable to X.
Menentukan Panjang Pipa Terpendek Untuk Pemasangan Jaringan Pipa PDAM Di Kecamatan Padang Timur Kota Padang Rina, Iswan; Putri, Nurweni
JOSTECH: Journal of Science and Technology Vol 2, No 1: Maret 2022
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v2i1.3790

Abstract

This paper will show the completion of PDAM data by determining the shortest pipe length from PDAM data, in other words finding the shortest pipe length from the tree model that is formed. In this PDAM pipe network problem, the distance from each pipe is determined from one area to another. In this study, each PDAM pipe has a different distance between one pipe and another. So with this problem we need a way to determine the shortest pipe length from each PDAM pipe between regions. By determining the length of the shortest pipe so that the shortest distance can be obtained from the use of the pipe. After obtaining the shortest distance, this research will be able to obtain a model in the form of a graph, namely Tree and will look for the shortest pipe length between one area and another for the PDAM pipeline network in the city of Padang. In this case, Padang Timur was chosen as the object of research because of the ineffective use of the PDAM pipe network. The region using the Graph method is expected to be able to determine the shortest pipe length using a pipe network so that it will be more economical and practical to implement.
Optimalisasi Produksi Seprai di UMKM Nikyta Seprai Dengan Metode Simpleks dan Branch and Bound Oktavia, Aulia; Putri, Nurweni; Rina, Iswan; ikhsan, zahlul
JOSTECH Journal of Science and Technology Vol 4, No 2: September 2024
Publisher : UIN Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/jostech.v4i2.8484

Abstract

Usaha Mikro, Kecil, dan Menengah (UMKM) memiliki peran penting dalam perekonomian global dengan memajukan pertumbuhan ekonomi lokal dan menciptakan lapangan kerja. Di tengah persaingan yang semakin ketat, UMKM perlu mengadopsi strategi efektif untuk meningkatkan produktivitas dan daya saing. Nikyta Seprai adalah sebuah UMKM di sektor tekstil di Kota Padang Panjang yang menghadapi tantangan dalam menentukan kombinasi produksi seprai yang optimal. Untuk mengatasi tantangan tersebut, metode optimasi, khususnya Integer Linear Programming, sangat penting untuk meminimalkan biaya bahan baku dan memaksimalkan keuntungan. Metode Simpleks dan metode Branch and Bound menawarkan pendekatan yang menjanjikan untuk mengoptimalkan produksi seprai di Nikyta Seprai. Artikel ini mengeksplorasi penerapan metode-metode tersebut di Nikyta Seprai, mengidentifikasi tantangan dalam proses produksi, dan mendemonstrasikan bagaimana metode optimasi dapat mengatasi tantangan tersebut, menghasilkan efisiensi produksi yang lebih baik dan keuntungan maksimum. Hasil analisis menunjukkan bahwa masalah penentuan kombinasi produksi seprai dan alokasi sumber daya untuk mendapatkan keuntungan maksimum di Nikyta Seprai yang diselesaikan menggunakan Integer Linear Programming, khususnya melalui metode Simpleks dan metode Branch and Bound. Solusi optimal menghasilkan keuntungan sebesar Rp 842.500, dengan jumlah produksi seprai karet sebanyak 10 buah, seprai rimpel sebanyak 1 buah, dan seprai 2 in 1 karet sebanyak 1 buah, dengan menggunakan software POM-QM V5.
CLUSTERING LQ45 INDEXED COMPANIES BASED ON FINANCIAL PERFORMANCE INDICATORS USING THE TWO-STEP CLUSTER METHOD Putri, Nurweni; Wulandari, Wahyuni
MAp (Mathematics and Applications) Journal Vol 5, No 2 (2023)
Publisher : Universitas Islam Negeri Imam Bonjol Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.15548/map.v5i2.7119

Abstract

The company's financial performance is one of the bases for assessing the company's financial condition which is carried out based on analysis of the company's financial ratios. Financial performance has an influence on the number of investors in a company. Indicators for measuring the company's financial performance include return on assets, return on equity, net profit margin, gross profit margin, operating profit margin, yield, payout, asset growth and company stability. Based on the company's financial performance indicators, company clustering will be carried out. One of the mathematical analysis approaches used to cluster companies based on financial performance indexed by LQ45 is to use the two-step cluster method. This method is the method used because the data variables to be processed are numerical data variables and categorical variables. The company's optimal cluster solution obtained is in the form of 3 optimal clusters. In cluster 1 a cluster of companies was formed which had the largest payout and yield values, in cluster 2 a cluster of companies was formed which had the largest net profit margin, gross profit margin, operating profit margin and cluster 3 was formed a cluster which had return on assets values, largest return on equity. Thus, it can be seen that each cluster has different characteristics.
Penerapan Metode Karush Kuhn-Tucker Dalam Optimalisasi Keuntungan Umkm Rendang Nan Lamak Kota Padang Putri, Nurweni; Rina, Iswan; Syahrul, Maya Sari
Jurnal Penelitian Dan Pengkajian Ilmiah Eksakta Vol 3 No 2 (2024): Jurnal Hasi Penelitian Dan Pengkajian Ilmiah Eksakta - JPPIE
Publisher : LPPM Universitas Dharma Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47233/jppie.v3i2.1653

Abstract

Bisnis adalah serangkaian usaha yang dilakukan individu atau kelompok dengan menawarkan barang dan jasa untuk mendapatkan keuntungan (laba). Namun dalam prakteknya, pelaku bisnis menemukan banyak masalah yang harus dihadapi, seperti persaingan yang ketat dan minimnya minat pembeli. Masalah ini tentunya berdampak pada keuntungan yang akan diperoleh oleh pembisnis itu sendiri. Untuk menghadapi permasalahan ini seorang pembisnis dituntut untuk mempunyai strategi yang bagus demi memperoleh keuntungan yang optimal. Salah satu cara untuk menghitung keuntungan optimal dapat menggunakan metode Karush Kuhn-tucker (KTT). Metode KTT merupakan suatu teknik optimasi yang dapat digunakan untuk pencarian titik optimum dari suatu fungsi yang mempunyai kendala. Metode KTT ini dapat diterapkan dalam menyelesaikan permasalahan maksimum maupun minimum dengan kendalanya berupa pertidaksamaan. Dalam penyelesaian masalah menggunakan metode KTT juga diperlukan faktor pengali Lagrange yaitu . Pada penelitian ini akan mengkaji bagaimana mengoptimalkan keuntungan produksi dari UMKM Rendang Nan Lamak Kota Padang menggunakan metode Krush Kuhn-Tucker.
Penerapan Minimum Spanning Tree Dalam Menentukan Rute Terpendek Pada Pemasangan Jaringan PT.PLN (Persero) Di Kecamatan Padang Utara Kota Padang Rina, Iswan; Ramayanti, Rosi; Putri, Nurweni
Jurnal Penelitian Dan Pengkajian Ilmiah Eksakta Vol 3 No 2 (2024): Jurnal Hasi Penelitian Dan Pengkajian Ilmiah Eksakta - JPPIE
Publisher : LPPM Universitas Dharma Andalas

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47233/jppie.v3i2.1659

Abstract

Pada tulisan ini akan ditunjukkan penyelesaian data PLN dengan meminimumkan jarak atau menentukan jarak terpendek dari data PLN, dengan kata lain mencari minimum spanning tree dari model tree yang terbentuk. In this article, we will show how to solve PLN data by minimizing the distance or determining the shortest distance from PLN data, in other words looking for the minimum spanning tree from the tree model formed.
The Use of Sensitivity Analysis to Find Maximum Profit in The Production Of Msme Angga Furniture Using The Simplex Method Dwita Septiani; Iswan Rina; Putri, Nurweni; Aulia Oktavia
Journal of Applied Mathematics and Modelling Vol. 1 No. 2 (2025): Journal of Applied Mathematics and Modelling
Publisher : CIB Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.64570/jamm.v1i2.36

Abstract

At time progresses, business competition becomes increasingly fierce. This also result in MSME (Micro,small dan Medium Enterprises  from various cities  competing fiercely. There are many MSME's that have emerged, one of which is Angga Furniture MSME which operates in the furniture sector. The aim of this research is to determine the maximum profit obtained using the Simplex Method and continue with Sensitivity Analysis to see to what extent the objective function coefficients and constants on the right side of the constraint function can  change without affecting the optimal solution. Based on calculation  using the Simple  Method, a maximum sales profit of IDR 2.830.000 is obtained if production is increased for 10 baby swings, 9 capsule chairs and 2 room deviders. Furthermore, using  Sensitivity Analysis calculations, the maximum sales profit is IDR 2.454.000 and the maximum sales profit is IDR 4.396.000.
Analisis Kestabilan Model Selwr Dinamika Burnout Pada Mahasiswa Syahrul , Maya Sari; Putri, Nurweni; Dwitari, Riolin
Jurnal Sains Dan Teknologi | E-ISSN : 3063-9980 Vol. 2 No. 3 (2026): Januari - Maret
Publisher : GLOBAL SCIENTS PUBLISHER

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

Academic burnout is a condition of physical, emotional, and mental exhaustion caused by prolonged academic pressure that may affect students’ well-being and performance. This study aims to analyse the stability of student burnout dynamics using the SELWR (Susceptible–Exposed–Light–Weight–Recovered) compartmental mathematical model as an extension of the SIR model. The model is formulated as a system of nonlinear differential equations representing the transition of students from susceptible to recovered conditions. The analysis reveals the existence of two equilibrium points, namely the burnout-free equilibrium and the endemic burnout equilibrium. Stability analysis is carried out by linearising the system using the Jacobian matrix and eigenvalue analysis around the equilibrium points.
Co-Authors Agusta, Vira Aulia Oktavia Dwita Septiani Dwitari, Riolin Iswan Rina Oktavia, Aulia Rina, Iswan Rosi Ramayanti Syahrul , Maya Sari Syahrul, Maya Sari Wahyuni Wulandari Zahlul Ikhsan