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All Journal Indonesian Journal of Applied Mathematics Transcendent Journal of Mathematics and Applications
Syahrini, Intan
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Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Environmental Science Mathematics Physics

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Pengoptimalan Masalah Nonlinier dalam Meminimumkan Biaya Produksi Menggunakan Separable Programming dan Algoritma Genetika Fazilah, Nanda; Saputra, T Murdani; Syahrini, Intan
Indonesian Journal of Applied Mathematics Vol. 4 No. 1 (2024): Indonesian Journal of Applied Mathematics Vol. 4 No. 1 April 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.v4i1.1781

Abstract

This research aims to form a nonlinear model of the objective function in the case of minimizing production costs and the number of products that must be produced by Lanting Bumbu An-Nisa. The application of the separable programming method is carried out by transforming the nonlinear objective function and constraints to produce a linear objective function and constraints which are then solved by applying the genetic algorithm method. The application of this method produces a solution that producers must produce 250 packages of onion flavored lanting, 750 packages of cheese flavored lanting, 500 packages of sweet and spicy lanting and 500 packages of corn flavored lanting with a production cost of IDR 12,706,037.29 . The nonlinear model formed in this problem was also solved directly using the genetic algorithm method which resulted in the solution that the total production of onion flavored lanting was 533 packages, 507 packages of cheese flavored lanting, 505 packages of sweet and spicy lanting and 455 packages of corn flavored lanting at a cost of the production that must be spent is IDR 11,213,943.55. The application of these two methods results in a difference in production costs of IDR 1,492,093.74. Based on these results, it shows that solving the nonlinear model directly using a genetic algorithm results in production costs that are 11.74% lower than the costs solved using separable programming.
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.
Application of The Autoregressive Integrated Moving Average (ARIMA) Box-Jenkins Method in Forecasting Inflation Rate in Aceh Syahrini, Intan; Radhiah, Radhiah; Damanik, Wirda Fadhila
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.v2i1.31702

Abstract

Inflation is an increase in the price of goods and services, in general that occurs continuously over a certain period. The government in a country or region needs to examine and pay attention to inflation data in the past to find out the inflation rate movement in a region. This study aims to predict the inflation rate in Aceh Province in the period September 2021 to January 2022 using the Box-Jenkins Autoregressive Integrated Moving Average (ARIMA) method. The best model obtained in this study is the ARIMA(2,0,2) model, which has a reasonably good forecasting accuracy value. The accuracy measured using the RMSE (Root of Mean Square) and MAE (Mean Absolute Error) values are close to zero, namely 0.474 and 0.373, respectively. The forecast results from inflation value this period classified into the category of mild inflation, where the increase in the price of goods that occurred during that period was still below 10%, so it did not impact the regional economy.
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.
Comparison Of Fuzzy Time Series Chen and Fuzzy Time Series Markov Chain Methods in Forecasting Consumer Price Index in Banda Aceh Syahrini, Intan; Tamimi, Afifah; Zuhra, Rahma; Amri, Saiful; Oktavia, Rini
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.v4i1.46243

Abstract

The Consumer Price Index (CPI) is utilized to determine a country's inflation and deflation rate. Inflation decreases the buying power of consumers; meanwhile, continuous deflation will lead to a recession. characterized by a stagnant economy and a diminished willingness among manufacturers to innovate. The CPI trends serve as a valuable economic indicator and a standard for manufacturing costs that reflect price fluctuations at the consumer level for specific goods and services. This study aims to forecast the CPI in Banda Aceh, Indonesia, utilizing CPI data in the region from January 2017 to October 2022 by applying the Fuzzy Time Series Chen and Fuzzy Time Series Markov Chain methods. Forecasting accuracy is assessed by the Mean Absolute Percentage Error (MAPE) and Mean Absolute Error (MAE). The Fuzzy Time Series Chen method obtained a MAPE of 2.98% and an MAE of 3.64, whereas the Fuzzy Time Series Markov Chain method attained a MAPE of 1.07% and an MAE of 1.27. This indicates that the predicting accuracy of the Fuzzy Time Series Markov Chain surpasses that of Chen's Fuzzy Time Series, leading to the conclusion that CPI forecasting in Banda Aceh City utilizing the Fuzzy Time Series Markov Chain approach is more precise.
Co-Authors Damanik, Wirda Fadhila Fazilah, Nanda Hamdi, Syaiful Hanim, Safiatun Mahmudi Mahmudi Muhammad Ikhwan Murida, Eva Nurmaulidar Nurmaulidar Oktavia, Rini Radhiah, Radhiah Rahma Zuhra Ramadhani, Rizka Aulia Saiful Amri Saputra, T Murdani Siti Rusdiana Tamimi, Afifah Yuni, Syarifah Meurah