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Journal : Transcendent Journal of Mathematics and Applications

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.
Application of Transportation Methods in Optimizing Transportation Cost for Fleet Product Distribution Radhiah, Radiah; Rusdiana, Siti; Marzuki, Marzuki; Saputra, T. Murdani; Mukhra, Uly Handayani
Transcendent Journal of Mathematics and Applications Vol 2, No 1 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i1.31741

Abstract

Motor vehicle distribution companies which are the source of this research data are located in Banda Aceh and Medan. The vehicles will then be sent to several areas, namely Lhokseumawe, Panton Labu, Meulaboh, Takengon, Subulussalam, Kuta Binjei, Kutacane, Aceh Singkil, Rimo and North Aceh. The problem in the process of sending vehicles is that if the inventory of vehicles in one of the warehouses is empty, then the supply of vehicles is obtained from warehouses that are still available in the warehouse regardless of distance. This paper describes the optimization of transportation costs for Fleet product distribution. Products are distributed from two sources to ten destinations. The cost of sending the vehicle incurred by the company is Rp 152,994,625. By using the Vogel's Approximation Method (VAM) and Modified Distribution Method (MODI), the total cost generated is Rp 142.728.100. Solving transportation problems with the transportation method can minimize and optimize the cost of sending a vehicle of Rp 10.266.525 or 6.71% and it can increase company profits.
Forecasting of Clean Water Usage by Observing Trend Pattern using Time Series Method Mahmudi, Mahmudi; Nurillah, Usmau Lidya; Rusdiana, Siti; Saputra, T Murdani
Transcendent Journal of Mathematics and Applications Vol 2, No 1 (2023)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v2i1.31377

Abstract

Population growth will increase the need for clean water. One of the clean water providers in the city of Banda Aceh is Local Water Supply Utility (PDAM) Tirta Daroy. To anticipate the surge in demand for clean water, PDAM needs to know the need for clean water in the future. One of the steps that can be taken is to do forecasting with the double exponential smoothing and triple exponential smoothing method. The smallest error value can be found using the mean absolute percentage error (MAPE) formula. Based on research, the double exponential smoothing method provides the most accurate forecast data when the parameter value 0.6 with an error of 3.5%. While the triple exponential smoothing method, the most accurate forecast data is obtained when the alpha value is 0.4 with an error of 3.55%.
Application of The Exponential Smoothing Method in Predicting The Visit of Foreign Tourists to Indonesia Rusdiana, Siti; Rahayu, Latifah; Asmanidar, Asmanidar
Transcendent Journal of Mathematics and Applications Vol 1, No 1 (2022)
Publisher : Syiah Kuala University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/tjoma.v1i1.28843

Abstract

Indonesia is rich in natural beauty, diverse ethnic groups, cuisines, and languages, making it one of the most popular destinations for both domestic and international tourists. The purpose of this study is to forecast the number of foreign tourist visitors from 2020 to 2021. The government can improve facilities or infrastructure while also preserving the beauty and culture of Indonesia's various ethnic groups. This study will investigate 101 foreign countries that visited Indonesia using one of the Exponential Smoothing methods. In forecasting, the Triple Exponential Smoothing method has three smoothing times. Forecasting in 101 foreign tourists visiting Indonesia yields different parameter results because each result has a different smoothing value. Once the parameters ranging from 0.1 to 0.9 is close to forecasting results, there are close to the actual value. The search ends at one of these parameters because it already yields the expected results to calculate the error value using the MAPE method. There were 20 foreign tourists selected based on the average number of visits to Indonesia.