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Computational Laboratory, Mathematics Department, Faculty of Mathematics and Natural Science, Udayana University UKM Building, UKM room no 8, Kampus Bukit Jimbaran Street, Badung-Bali.
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Jurnal Matematika
Published by Universitas Udayana
ISSN : 16931394     EISSN : 26550016     DOI : https://doi.org/10.24843/JMAT
Core Subject : Education,
Mathematics
Jurnal Matematika (p-ISSN: 1693-1394 |e-ISSN: 2655-0016| DOI: 10.24843/JMAT ) is an open access journal which publishes the scientific works for researchers. The articles of this journal are published every six months, that is on June and December.
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Articles 6 Documents
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Search results for , issue "Vol 13 No 1 (2023)" : 6 Documents clear
Forecasting Monthly Inflation Rate in Denpasar Using Long Short-Term Memory Sumarjaya, I Wayan; Susilawati, Made
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p157

Abstract

One of indicators of economic stability of a country is controlled inflation. In general, inflation provides information about the rise of goods and services in a region within certain period which has strongly related with people’s ability to purchase. The Covid-19 pandemic has affected almost any sectors especially the consumer price in-dex. Bali, as a major tourist destination in Indonesia, has severely affected by the pandemic. Information about future inflation rate plays important role in determining the correct decision regarding economic policy. The aim of this research is to fore-cast inflation rate in Denpasar using deep learning method for time series. Deep learning, a part of machine learning, consists of layers of neurons that are designed to learn complex patterns and is able to make forecasting. In this research we de-ployed a special type of recurrent neural networks called long-short term memory (LSTM) that is suitable for use in time series analysis. We stacked the networks into two, three, and four layers to add capacity and to build deep networks for inflation rate series. A grid search for each layer is conducted to obtain optimal hyperparame-ters setting. We conclude that the optimum architecture for setting for this deep net-work is stacked two LSTM layers. The monthly inflation rate forecasts suggest the in-flation for 2022 fluctuates, but below one percent.
Analisis Sistem Antrean Pelayanan Administrasi Pasien di Klinik dr. Asih Krustiyani, Probolinggo, Jawa Timur Kharis, Selly Anastassia Amellia
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p156

Abstract

The discussion taken in this research is "How is the queue system for patient administration services at the Dr. Asih Krustiyani clinic in Probolinggo City". The purpose of this research is to determine the patient queue administration service system at dr. Asih Krustiyani Probolinggo. From the results of the calculation of the performance analysis of the queuing system using the Single Change Single Phase (M/M/1) method. On Mondays, the most patients who come, the highest average is at 19.00 - 20.00 WIB, where the average time required for patients to wait the longest in the queue is 0.09 minutes and the shortest time is 20.00 - 21.00 WIB for 0, 04 minutes. The longest time required by the patient on the system is 0.14 minutes, namely at 19.00 – 20.00 WIB and the shortest time is 0.1 minutes, which is at 18.00 – 19.00 WIB. And 0.061 minutes per patient for the longest waiting time in line with a single server.fluctuated with greater amplitude.
Pengaruh Kontrol Optimal Pada Model Penyebaran Penyakit Menggunakan Runge-Kutta Orde 4 Qomarudin, M. Nur Haqqul; Robby, RR; Akbarita, R
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p158

Abstract

In the area of mathematics, optimal control is a method for making complex and dynamic decisions. In the applications, this theory has been used to many dynamic issues to develop a system's control strategy. For instance, numerous researchers employ optimum control to determine the best circumstances to control a disease and stop the spread of various diseases. As a result, observations will be made in this study about the comparison of an infectious disease spread dynamic system with and without controls. As of this study, observations are produced by providing control construction on the given model and a number of examples of dynamic system problems (with and without control) . As of this writing, observations are made by first giving control to the model that has been created after delivering a number of examples of dynamic system problems. After that, both models received numerical simulations. Based on the observations collected, it is possible to draw the conclusion that a disease's best control, whether achieved by treatment controls or preventive controls like immunizations, depends on the disease's mode of transmission. The spread of infectious diseases can be effectively controlled utilizing treatment processes and preventative processes, such as immunizations, administered widely within the first three months. By accelerating the healing process for infected people and using immunizations in combination, this control can be accomplished. Keywords: Optimal control, numerical simulation, Dynamical system
Penerapan Metode Zillmer dan Illinois Pada Perhitungan Cadangan Premi Asuransi Jiwa Joint Life Chandra, Veronica Celine; Widana, I Nyoman; Wijayakusuma, IGN Lanang
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p159

Abstract

Joint life insurance is life insurance whose premium payments end at the first death of one of the insureds. This study aims to calculate the value of premium reserves using the Zillmer and Illinois methods for two insureds with data obtained from PT. Allianz where the insured is 33 and 29 years old with a protection period of 15 years, a premium payment period of 10 years. The Zillmer method uses prospective calculations as a basis for calculations that do not depend on the term of the product used, while the Illinois method is part of the prospective method by limiting costs charged to insurance participants with a limit of 20 years of payment. The results of this study are the value of premiums and premium reserves using the Zillmer and Illinois methods in this study are greater than the value of premiums and premium reserves from PT. Allianz. In the first year, the premium reserve value for the Zillmer method is IDR 80.005.964 while for the Illinois method is IDR 62.902.458 where the reserve value for the following year always increases with the reserve value for the Zillmer method being greater than the Illinois method. The premium reserves for the Zillmer and Illinois methods at the end of the year have the same value as the compensation value of IDR 1.130.000.000, which means that the insurance company is ready to provide compensation as much as promised to insurance participants.
Aplikasi Rantai Markov pada Perpindahan Konsumen Merek Sabun Mandi Santoso, Louis Vigo; Rajagukguk, Rikardo Jordan; Wilantara, I Gede Ligar Nouvaldi; Putera, Judha Dana; Nurahmadiningsi, Nurahmadiningsi; Dwi Octavanny, Made Ayu
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p160

Abstract

The purpose of this study is to determine the market share for several future periods of the Lifebuoy, NUVO, Dettol, and other soap brands and the market share when equilibrium conditions are reached by applying the markov chain to the movement of soap consumers. Markov chain is a method for analyzing the properties of a variable in the present based on past properties to interpret the properties of these variables in the future. The results showed that the highest market share was held by Lifebuoy with 37.6% and followed by other brands (25.7%), Dettol (20.2%), and NUVO (16.5%). In subsequent periods the market share of Lifebuoy, NUVO and Dettol has increased while the other brands have decreased. The market share when the equilibrium condition is reached is Lifebuoy (37.8%), other brands (24.2%), Dettol (21.1%), and NUVO (16.9%).
Analisis Model Struktural Penyusun Kepuasan Pelanggan Grabfood di Kota Sumbawa Besar Hermanto, Koko; Yansyah, Renaldi
Jurnal Matematika Vol 13 No 1 (2023)
Publisher : Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2023.v13.i01.p161

Abstract

Grab berdiri pada tahun 2012 di Malaysia dan berkembang di berbagai negara Asia Tenggara termasuk di Indonesia, dan pada tahun 2021 masuk ke kabupaten Sumbawa. Salah satu layanan yang diberikan oleh Grab adalah Grabfood dan berdasarkan hasil observasi yang dilakukan kepada pengguna Grabfood di Sumbawa ditemukan beberapa persoalan yaitu masih dirasa kurang puas oleh pengguna diantaranya adalah kualitas pelayanan, harga yang cukup tinggi terutama di Grabfood terdapat selisih harga yang cukup signifikan dengan harga beli secara langsung ditempat, serta promosi Grab di Sumbawa masih kurang. Berdasarkan persoalan tersebut maka perlu dianalisis kepuasan pelangganpengguna Grabfood terhadap kualitas pelayanan, harga dan promosi. Metode yang digunkan dalam penellitian ini adalah Structural Equation Modeling (SEM) dengan pendekatan software Lisrel 8.8. Berdasarkan hasil penelitian kualitas pelayanan memiliki hubungan positif 17% terhadap kepuasan pelanggan Grab, harga memiliki hubungan positif 51% terhadap kepuasan pelanggan Grab, sedangkan promosi memiliki hubungan positif 14% terhadap kepuasan pelanggan Grab. Hasil penelitian diharapkan dapat menjadi acuan dalam pengambilan keputusan bagi pengendara Grab untuk mempertahankan eksistensinya di kota Sumbawa Besar.

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