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All Journal Indonesian Journal of Applied Mathematics Transcendent Journal of Mathematics and Applications
Nurmaulidar Nurmaulidar
Jurusan Matematika, FMIPA Universitas Syiah Kuala
Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Environmental Science Mathematics Physics

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Pengoptimalan Masalah Pemrograman Nonlinier menggunakan Metode Quadratic Programming Nurmaulidar, Nurmaulidar; Hafnani, Hafnani; Mahmudi, Mahmudi; Radhiah, Radhiah; Pasaribu, Sri Rizki Aprilianti; Amri, Saiful; Rusdiana, Siti
Transcendent Journal of Mathematics and Applications Vol 3, No 2 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i2.43839

Abstract

Operations research is widely applied by industrial and business companies to maximize profits or minimize potential losses. In practice, many operations research problems cannot be solved using linear models and require nonlinear models instead. This is the case for Lavera Konveksi, a company that produces long-sleeve t-shirts, collared t-shirts, plain t-shirts, and training pants each month. The company faces issues with fluctuating production quantities and costs. This research aims to develop a nonlinear objective function model to minimize production costs and determine the minimum production cost and the optimal number of items to be produced by Lavera Konveksi. The data used in this study includes production quantities and costs for the period from December 2019 to April 2020. The research employs the Quadratic Programming method, where the nonlinear problem is transformed into a linear case and then solved using the Wolfe Simplex Method. The results indicate that Lavera Konveksi should produce 530 long-sleeve t-shirts, 455 collared t-shirts, 425 plain t-shirts, and 180 training pants to achieve a minimum production cost of IDR 49,436,799.
Prediction of the Population of Banda Aceh City Using the Laplace Transformation Syafira, Nurul; Murida, Eva; Hanim, Safiatun; Yuni, Syarifah Meurah; Amri, Saiful; Hafnani, Hafnani; Nurmaulidar, Nurmaulidar
Transcendent Journal of Mathematics and Applications Vol 3, No 1 (2024)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v3i1.38764

Abstract

Population prediction is an estimate of the population in the future based on assumptions from the population growth rate. Based on data from the Central Statistics Agency (BPS), the population in Banda Aceh City is increasing every year with an average growth of around 2%. The purpose of this research is to predict the population in Banda Aceh City using the Laplace transformation on exponential model. The exponential model is a simple model to describe population growth patterns. Using Laplace transformation can easily get a difinitive analytic solution. The Laplace transformation of the exponential model is used to calculate the growth rate with data on the population of Banda Aceh City in 2015-2022. Based on the results of the study, the value of the growth rate (r) is obtained from determining the precentage error (MAPE) of each model to determine the predicted value that is closest to the actual value. So, model VII is the most accurate with a value (r) is 0,00412. The result of this study also show that model VII is used to predict the population in Banda Aceh City in 2030 when is 266.259 people.
Determining The Selling Price of Thrift Using The Fuzzy Sugeno Method Radhiah, Radhiah; Rusdiana, Siti; Hamdi, Syaiful; Nurmaulidar, Nurmaulidar; Syahrini, Intan; Mahmudi, Mahmudi; Ikhwan, Muhammad
Indonesian Journal of Applied Mathematics Vol. 3 No. 2 (2023): Indonesian Journal of Applied Mathematics Vol. 3 No. 2 October Chapter
Publisher : Lembaga Penelitian dan Pengabdian Masyarakat (LPPM), Institut Teknologi Sumatera, Lampung Selatan, Lampung, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35472/indojam.v3i2.1598

Abstract

The use of thrift goods in life has the effect of saving and loving the environment. Many of these objects are difficult to degrade in nature and are nevertheless thought to have economic worth, for example used electronic equipment such as laptops. On the other hand, in today's classroom environment, laptops are quite important. Even the most recent computers with good features are fairly costly, thus used laptops are one answer to this. The seller's selling price usually only takes a few elements into account, therefore the price set does not always match the requirements. The aim of this paper is to apply the zero order Sugeno fuzzy approach to determine the selling price of old laptop. The system is built with characteristics such as laptop age, physical condition, RAM, new purchase price, and used selling price. The simulation findings suggest that fuzzy logic employing the zero-order Sugeno approach can be utilized to determine the selling price of old laptop while accounting for the affecting variables.
Comparative Analysis of Joint Life Endowment Insurance Premium Reserves: Zillmer Method Versus Prospective Method and The Impact of Zillmer Level Hafnani, Hafnani; Maulidi, Ikhsan; Nurmaulidar, Nurmaulidar; Alindo, Sesda; Apriliani, Vina
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.46121

Abstract

The insurance company collects premium reserves obtained from the difference between the value of benefits and the value of premium payments at a time of coverage. One method of premium reserve is prospective reserve, where the calculation is based on the difference between the present value of the benefits to be received and the present value of the net premiums that will come in accordance with a predetermined annuity. This research aims to determine the amount of premium and premium reserves in joint life endowment insurance using the Zillmer method which uses the concept of prospective reserves with gross premiums as the basis for calculations. Then we compare the result with premium reserves using prospective methods, and see the effect of the Zillmer level variable on the amount of premium reserves. The results of this study can be concluded that the value of joint life joint insurance premiums increases according to age when starting insurance and the reserves of joint life insurance premiums always increase every year, until at the end of the insurance coverage premium reserves will reach the same value as the amount of compensation. The value of the premium reserve is influenced by the value of the Zillmer level used; the greater the Zillmer level value, the greater the profit earned by the life insurance company.
Implementation of Minimum Demand Method (MDM) in Decide an Initial Feasible Solution of Transportation Problem Nurmaulidar, Nurmaulidar; Yuni, Syarifah Meurah; Fauzan, Muhammad Atta
Transcendent Journal of Mathematics and Applications Vol 4, No 1 (2025)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v4i1.49237

Abstract

This study investigates the effectiveness of the Minimum Demand Method (MDM) in determining an initial feasible solution (IBFS) for the Rastra rice distribution problem managed by Perum Bulog in West Sumatra, Indonesia. Unlike traditional methodsNorth-West Corner (NWC), Least Cost (LC), and Vogels Approximation Method (VAM)MDM prioritizes allocation to destinations with the smallest demand, aiming to minimize cost fragmentation and improve solution quality. The original transportation model was unbalanced, requiring a dummy source to achieve feasibility. IBFS values were computed using POM-QM for Windows 4, followed by optimality verification via the Modified Distribution (MODI) method. Results show MDM yields the lowest total cost at IDR 25,227,010, outperforming NWC (IDR 27,967,340), LC (IDR 25,821,810), and VAM (IDR 25,821,810). MODI confirmed MDMs solution as optimal, with zero improvement indices, validating its efficiency. Compared to the next-best method, MDM achieves a 2.3% cost reduction, and a 9.8% saving relative to NWC. This confirms MDMs superiority in generating high-quality IBFS without increasing computational complexity. The study demonstrates that MDM is not only simple and intuitive but also highly effective for large-scale public logistics systems, offering a practical alternative to conventional techniques in real-world distribution planning.
Co-Authors Alindo, Sesda Fauzan, Muhammad Atta Hafnani Hafnani Hamdi, Syaiful Hanim, Safiatun Mahmudi Mahmudi Maulidi, Ikhsan Muhammad Ikhwan Murida, Eva Pasaribu, Sri Rizki Aprilianti Radhiah, Radhiah Saiful Amri Siti Rusdiana Syafira, Nurul Syahrini, Intan Vina Apriliani Yuni, Syarifah Meurah