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Transcendent Journal of Mathematics and Applications
Published by Universitas Syiah Kuala
ISSN : -     EISSN : 29641845     DOI : -
Core Subject : Economy, Science, Education, Social,
Computer Science & IT Economics, Econometrics & Finance Environmental Science Mathematics Physics
Transcendent Journal of Mathematics and Applications has the scope of mathematics and applications of mathematics, but does not rule out other fields. The scope are Mathematics (Algebra, Discrete Mathematics, Number Theory, Geometry, Graph Theory, Analysis, and Differential Equations) and its Applications (Physical Modeling, Disease Modeling, Social Modeling, Optimal Control and Control Systems, Engineering Mathematics, Economics and Business Mathematics, Ethnomathematics, Statistics, Informatics, Data Analysis, and Education).
Arjuna Subject : Matematika - Matematika Terapan
Articles 6 Documents
 1 
Search results for , issue "Vol 3, No 2 (2024)" : 6 Documents clear
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.
Analisis Faktor-Faktor Yang Memengaruhi Keluhan Kesehatan Di Indonesia Menggunakan Metode Regresi Data Panel Rahmayuni, Titin; AR, Fitriana; Salwa, Nany; Nurhasanah, Nurhasanah
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.v3i2.43045

Abstract

Health complaints are one aspect of the problem that is the focus of attention in Indonesia. Over the past 3 years, the percentage of health complaints in Indonesia has increased. One of the ways that can be done to reduce the problem of health complaints is to find out the factors that influence it. This study aims to find a suitable model to determine the factors that influence health complaints in Indonesia. To find out the factors that influence health complaints in Indonesia, this study uses a panel data regression analysis method with 3 basic models, namely the Common Effect Model (CEM), Fixed Effect Model (FEM), Random Effect Model (REM). The data in this study consists of cross section data in the form of 34 provinces in Indonesia and time series data in the form of data from 2020 to 2022 with 1 dependent variable and 9 independent variables. The results showed that the selected model of health complaints in Indonesia was the Random Effect Model with individual effects. This model produces an R2 value of 58.19% and an adjusted R2 value of 54.09%. This study obtained 3 significant variables, namely the sick population who did not seek treatment, the population who self-medicated, and the birth process that was not assisted by health workers. Meanwhile, the variables that have a positive effect are the sick population that does not seek treatment, women with marital status using family planning, and population who smoke.
Solusi Numerik Persamaan Good Boussinesq Menggunakan Metode Garis Lubis, Yunika Zultira; Arif, Salmawaty; Saputra, T. Murdani
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.v3i2.42653

Abstract

The Good Boussinesq equation is a hyperbolic partial differential equation, for which the analytical solution is generally difficult to determine thus necessitating a numerical approach. This study aims to obtain the numerical solution of the Good Boussinesq equation using the method of Lines and to calculate the accuracy of this method in solving the equation. Numerical simulation were also conducted to compare the numerical solution with the analytical solution in the form of a single soliton. Subsequently, a numerical simulation was performed to compare the numerical solution with the analytical solution in the form of a single soliton. The simulation conducted for a single soliton as an analytical solution demonstrates that the numerical solution closely approximates the analytical solution, as indicated by the nearly identical shapes and positions of the resulting wave. This is also indicated by the relatively small Root Mean Square Error (RMSE) of 1.89E-03, which shows that the Method of Lines is quite effective in solving the numerical solution of the Good Boussinesq equation based on the calculation of squared errors.
Kontrol Optimal pada Penyebaran Penyakit Campak Model SIR Samosir, Restika; Sihombing, Yosina Arni; Sumardi, Sitti Rosnafian; Hisyam, Muhammad
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.v3i2.42161

Abstract

The SIR model is a model used to group populations into 3 parts, namely susceptible or a subpopulation of individuals who are susceptible to disease, infected or a subpopulation of individuals who are infected and can transmit the disease and recovered or a subpopulation of individuals who have recovered from the disease. Measles is usually treated without a vaccine, so the disease is often found in the community. Giving the right and balanced vaccine will get results that are balanced with what is given. In this research, we develop a SIR model with additional controls. Where the control in this model is vaccination given to subpopulations S and I, so that the recovered subpopulation experiences an increase, because the number of subpopulation I decreases. The method used in this research consists of several steps, namely forming a SIR model which is formed in optimal control and determining the objective function. Next, solve the optimal control problem, which consists of several stages, namely forming the Hamiltonian function and finding states and co-states. Based on the research results, it is concluded that optimal control of the SIR model is obtained by state and co-state equations. Where this model is the result of reducing the Hamiltonian to obtain optimal control in the SIR model.
Analisis Efisiensi Proses Penentuan Harga Perkiraan Sendiri menggunakan Teori Antrian pada PTPN I Regional 7 Azzahra, Iqlima Dita; Arfi, Eristia
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.v3i2.41205

Abstract

This study aims to analyze the efficiency of the process for determining the Estimated Own Cost (HPS) by considering the number of incoming HPS packages and the average time taken to calculate HPS. The method used in this research is queueing theory with a FIFO (First In, First Out) queue discipline and a Multi-Channel Single-Phase (M/M/S) queueing model, utilizing historical data of incoming HPS packages from February to July 2024. The results of the analysis show that the queueing system at the HPS Subdivision of PTPN I Regional 7 has a utility factor of 2.198, indicating that the queueing system is overloaded. A utility rate greater than 1 signifies that the queueing system is not operating efficiently. This provides critical insights for PTPN I Regional 7 in designing more efficient HPS determination strategies based on the profile and needs of each work unit.
Penerapan Teorema Residu Cauchy dalam Integral Tak Wajar Hanim, Safiatun; Murida, Eva; Ramadhani, Rizka Aulia; Yuni, Syarifah Meurah; Syahrini, Intan
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.v3i2.39119

Abstract

This article discusses the application of Cauchy's Residue Theorem to improper integrals of real functions. The theorem states that the integral along a simple closed contour is equal to 2i times the sum of the residues of the function at single points located inside the contour. Furthermore, the article describes various methods for determining the residues, including the use of Laurent series and Taylor series. In addition, Jordan's lemma is also referenced in this article. Cauchy's Residue Theorem on improper integrals can be employed to resolve integrals that are challenging to compute using traditional real analysis methods. By identifying the residue of the integral at a singularity within a closed contour, the integral along the contour can be evaluated. The application of the residue theorem to improper integrals can be expressed in a specific form to facilitate calculation. This method offers several advantages over conventional methods. Some of the sources consulted in the preparation of this article include the following publications: Complex Analysis, Residue Theorem and Its Applications, and Calculus Applications in Physics Lectures.

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