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INDONESIA
Jurnal Matematika Sains dan Teknologi
Published by Universitas Terbuka
ISSN : 14111934     EISSN : 24429147     DOI : -
Core Subject : Education, Agriculture,
Agriculture, Biological Sciences & Forestry Mathematics Other
Merupakan media informasi dan komunikasi para praktisi, peneliti, dan akademisi yang berkecimpung dan menaruh minat serta perhatian pada pengembangan Matematika, ilmu pengetahuan dan teknologi. Diterbitkan oleh Lembaga Penelitian dan Pengabdian kepada Masyarakat, Universitas Terbuka.
Arjuna Subject : -
Articles 396 Documents
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ANALISIS KARAKTERISTIK DAN TINGKAT PERKEMBANGAN BADAN USAHA MILIK DESA (BUMDES) DI KABUPATEN PANDEGLANG, BANTEN Ulul Hidayah
Jurnal Matematika Sains dan Teknologi Vol. 22 No. 2 (2021)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v22i2.2740.2021

Abstract

Diperlukan optimalisasi potensi kawasan perdesaan di Kabupaten Pandeglang untuk meningkatkan pembangunan dan mengurangi tingkat kemiskinan penduduk. Pengembangan potensi lokal diperlukan untuk mendorong pertumbuhan ekonomi di kawsaan perdesaan. Salah upaya yang dapat dilakukan adalah melalui pendirian dan pengelolaan BUMDes. Penelitian ini bertujuan untuk mengidentifikasi karakteristik dan tingkat perkembangan BUMDes di Kabupaten Pandeglang. Metode analisis yang digunakan dalam penelitian ini adalah analisis deskriptif kualitatif dan indeks komposit. Analisis deskriptif kualitatif digunakan untuk memberikan gambaran karakteristik BUMDes di Kabupaten Pandeglang. Sedangkan untuk mengidentifikasi tingkat perkembangan BUMDes dilakukan dengan analisis indeks komposit. Penelitian ini menggunakan data sekunder yang diperoleh dari Dinas Pembangunan Masyarakat dan Desa Kabupaten Pandeglang. Hasil penelitian ini menyimpulkan bahwa karakteristik BUMDes di Kabupaten Pandeglang beragam dilihat dari kontribusi terhadap PADes, modal, omzet, profit, jumlah karyawan, usia, serta jumlah dan jenis unit usaha. Sebagain besar tingkat perkembangan BUMDes termasuk dalam kategori rendah dan sedang. Dan sekitar 57 BUMDes termasuk dalam kategori tinggi dengan karakteristik berikut telah berdiri lebih dari 5 tahun, memiliki jumlah karyawan rata-rata 9 orang, memiliki lebih dari 2 unit usaha dan memiliki rata-rata profil lebih dari 5 juta per tahun.
TERMINOLOGI DASAR PADA HIMPUNAN SIMETRISASI ALJABAR MIN-PLUS Suroto; Ari Wardayani; Chumaedi Sugihandardji
Jurnal Matematika Sains dan Teknologi Vol. 23 No. 2 (2022)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v23i2.3033.2023

Abstract

This paper discusses some of the terminology and basic properties of the set of min-plus algebra symmetrization. The results are algebraic structure of the positive or zero part of the set of min-plus algebra symmetrization is a semi-field, and the min-plus algebra can be viewed as the positive or zero part in the context of the set of min-plus algebra symmetrization. Furthermore, the form of the result of the subtraction of the elements in the set of min-plus algebra symmetrization, the multiplicative inverse of element in the non zero-positive and negative part, and some basic properties of balance as an analogy to the similarity of linear algebra are also obtained.
PENENTUAN LOKASI ATM BANK SYARIAH INDONESIA MENGGUNAKAN METODE FUZZY C MEANS DI KABUPATEN JEMBER kiswara santoso; Amalia Nur Azizah
Jurnal Matematika Sains dan Teknologi Vol. 23 No. 2 (2022)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v23i2.3110.2022

Abstract

Bank Syariah Indonesia was inaugurated on February 1, 2021, which is a combination of BNI Syariah, Mandiri Syariah, and BRI Syariah. One of the ease of transaction facilities for customers is using an ATM (Automated Teller Machine). BSI currently has 18,291 ATMs spread throughout Indonesia and 10 of them are located in Jember Regency. The purpose of the ATM is to increase customer convenience and public trust in BSI. Ease of access to ATMs will affect the number of customers because ATM locations that are easily accessible can increase the number of profits obtained by BSI. The main factors in determining the location of ATMs that need to be considered are easy to reach, close distances, and safe locations. The Fuzzy C Means (FCM) method is used to classify the right area in determining the location of ATMs. The results of this study, the Jember district can be grouped into 6 clusters, wherein each cluster there is one ATM with the first cluster and the sixth cluster with as many as 9 districts, the second cluster with as many as 6 districts, the third cluster as many as 5 districts, the fourth cluster as many as 7 districts, and the fifth cluster as many as 4 districts. The conclusion of this study, is the exact location of BSI ATMs in Jember Regency based on the number of clusters that have been determined to be in Patemon Village, Antirogo Village, Jubung Village, Jember Lor Village, and Sumbersari Village. Clustering validation uses the Silhoutte Index (SI) with an average silhouette coefficient of 0.83028.
CADANGAN ZILLMER DENGAN DISTRIBUSI PARETO DAN TINGKAT BUNGA COX-INGERSOLL-ROSS Hasriati; Ihda Hasbiyati; Audia Kirana; Agung Prabowo
Jurnal Matematika Sains dan Teknologi Vol. 23 No. 2 (2022)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v23i2.3541.2022

Abstract

This article discusses Zillmer's reserves for endowment life insurance. Zillmer reserves are a type of modification of premium reserves which are calculated using prospective reserves and the Zillmer rate. In Zillmer reserves, loading which is the difference between gross premium and net premium in the first policy year is greater than standard loading, so the purpose of this research is to find a way to make the loading smaller. To achieve this goal, this article uses the Pareto distribution and the Cox-Ingersoll-Ross (CIR) interest rate model. Based on the illustration, even though in the first policy year there was still a negative loading, however, Zillmer's reserves have been increasing from time to time since the second policy year.
STRATEGI PENGEMBANGAN USAHA KECIL MENENGAH (UKM) PENGOLAHAN IKAN ASAP YANG BERORIENTASI PASAR DI KABUPATEN BONE Rafi Ohorella; Mulyono S. Baskoro; Sri Harijati
Jurnal Matematika Sains dan Teknologi Vol. 23 No. 2 (2022)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v23i2.2030.2022

Abstract

This study aims to examine the conditions of, and formulate a strategy for, developing smoked fish processing in small and medium enterprises (SMEs) in Bone Regency. Methods of data collection include interviews, field observations, and documentation with questionnaires. Method of data analysis include descriptive analysis of the conditions and characteristics of smoked fish processing SMEs, SWOT (Strength-Weakness-Opportunities-Threat) analysis and QSPM (Quantitative Strategic Planning Matrix) methods to formulate priority strategies for developing smoked fish processing SMEs. The results show the following conditions of smoked fish processing in Bone Regency: 100% of the SMEs use simple technologies, 79% have low education, 91.94% of the workforce was of productive age. The SMEs development strategies that can be learned include strategies for establishing cooperative relationships and government support in promoting smoked fish processed products, strategies for developing smoked fish processing SMEs with training and counseling programs from relevant agencies, strategies for implementing the latest processing technological innovations by renewing infrastructures of facilities, as well as strategies for completing business permits and legalities.Penelitian ini bertujuan untuk mengkaji kondisi dan merumuskan strategi pengembangan Usaha Kecil dan Menengah (UKM) pengolahan ikan asap di Kabupaten Bone. Pengumpulan data dilakukan dengan wawancara, observasi lapangan, dan dokumentasi dengan kuesioner sebagai alat bantu.  Analisis dilakukan secara deskriptif terhadap kondisi dan karakteristik UKM pengolah ikan asap. Analisis iSWOT dan metode QSPM untuk merumuskan prioritas strategi pengembangan UKM pengolahan ikan asap. Hasil penelitian menunjukan bahwa kondisi pengolah ikan asap di Kabupaten Bone 100% menggunakan teknologi sederhana, 79% memiliki pendidikan rendah, serta umur tenaga kerja produktif sebanyak 91,94% dan strategi pengembangan UKM yang dapat di ambil adalah strategi menjalin hubungan kerjasama dan dukungan pemerintah dalam mempromosikan produk olahan ikan asap, strategi peningkatan/pengembangan UKM pengolahan ikan asap dengan program pelatihan dan penyuluhan dari dinas terkait, strategi penerapan inovasi-inovasi teknologi pengolahan terkini dengan pembaharuan sarana prasarana, serta strategi penyelesaian perizinan dan legalitas usaha.
BILANGAN KROMATIK HARMONIS PADA GRAF PAYUNG, GRAF PARASUT, DAN GRAF SEMI PARASUT Fransiskus Fran; Nilamsari Kusumastuti; Robiandi
Jurnal Matematika Sains dan Teknologi Vol. 24 No. 1 (2023)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v24i1.3945.2023

Abstract

This article discusses the harmonic coloring of simple graphs G, namely umbrella graphs, parachute graphs, and semi-parachute graphs. A vertex coloring on a graph G is a harmonic coloring if each pair of colors (based on edges or pair of vertices) appears at most once. The chromatic number associated with the harmonic coloring of graph G is called the harmonic chromatic number denoted XH(G). In this article, the exact values ​​of harmonic chromatic numbers are obtained for umbrella graphs, parachute graphs, and semi-parachute graphs.
ANALISIS REGRESI LOGISTIK BINER PADA FAKTOR RESIKO KEJADIAN TUBERKULOSIS Findasari; Ade Ima Afifa Himayati
Jurnal Matematika Sains dan Teknologi Vol. 24 No. 1 (2023)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v24i1.4666.2023

Abstract

Tuberculosis is the disease with the second highest mortality rate in the world and is ranked first in the most deadly infectious disease. In Indonesia, tuberculosis occurred around 969,000 cases that were found, which is up about 17% from the previous year, which means that there are 354 people out of 100,000 people who have tuberculosis. This study aims to determine the risk factors that can influence the incidence of pulmonary tuberculosis (TB) and find out the risk factors that have a relationship with the incidence of pulmonary tuberculosis. Data analysis in this study was carried out by the binary logistic regression method. The results of the study stated that factors of nutritional status and family history status suffering from tuberculosis had an influence on the incidence of tuberculosis. In addition, risk factors that are related to the incidence of pulmonary tuberculosis are nutritional status, family history status of tuberculosis, and smoking habits, while economic status or income has no influence or association with the incidence of pulmonary tuberculosis.
EVALUASI MODEL-MODEL BAYESIAN SPASIAL CONDITIONAL AUTOREGRESSIVE UNTUK PEMODELAN KASUS KEMATIAN CORONA VIRUS DISEASE (COVID-19) DI INDONESIA Andi Feriansyah; Aswi Aswi; Ruliana
Jurnal Matematika Sains dan Teknologi Vol. 24 No. 1 (2023)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v24i1.4864.2023

Abstract

Covid-19 cases in Indonesia occurred for the first time on 2 March 2020. By 30 September 2022, Indonesia had 158,173 Covid-19 deaths. Several studies have been done in modelling Covid-19 cases. However, research in modelling the number of Covid-19 deaths using the Bayesian Spatial Conditional Autoregressive (CAR) model is still rare. The Bayesian spatial CAR model has high flexibility in relative risk (RR) modeling. CAR models can include various types of spatial effects and can include covariates in the model. RR represents the ratio of the risk of outcome (Covid-19) in the exposed group compared to the population average (the unexposed group). This study aims to evaluate the BYM, Leroux, and Localised models with five hyperpriors, to obtain the best model for estimating the RR of Covid-19 deaths in Indonesia and to create RR maps. This study used aggregate data on Covid-19 deaths (2 March 2020 - 30 September 2022). Data on the total population and population density of each province in 2021 were also used. The best model selection is based on the lowest Watanabe Akaike Information Criterion (WAIC) and Deviance Information Criterion (DIC) values, and Modified Moran's I (MMI) residual values. The result showed that the CAR BYM model with covariates and with Inverse-Gamma IG(0.5; 0.0005) prior distribution had the lowest DIC and WAIC. As the BYM model does not converge, the model cannot be used in determining the RR of Covid-19 deaths in Indonesia. From the other three models that converge, the Bayesian CAR Leroux model without covariate with IG(0,5;0,0005) has the lowest DIC(393,76), and WAIC(400,12), and its MMI value (-0,26) is approximate to zero. Therefore, the Bayesian CAR Leroux model without covariate with IG(0,5;0,0005) is preferred. The province with the highest RR (2,76) and the lowest RR (0,22) are Yogyakarta and Papua, respectively.
APLIKASI MODEL ARIMA GARCH DALAM PERAMALAN DATA NILAI TUKAR RUPIAH TERHADAP DOLAR TAHUN 2017-2022 Nickyta Shavira Maharani; Yenni Angraini; Mahesa Ahmad Rahmawan; Oktaviani Aisyah Putri; Steven Kurniawan; Tias Amalia Safitri; Akbar Rizki; Wiwik Andriyani Lestari Ningsih; Nabila Ghoni Trisno Hidayatulloh; Andika Putri Ratnasari
Jurnal Matematika Sains dan Teknologi Vol. 24 No. 1 (2023)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v24i1.4875.2023

Abstract

The Indonesian rupiah (IDR) exchange rate is used to gauge Indonesia's economic stability. Maintaining the IDR exchange rate's stability is critical since it has a direct impact on Indonesia's national monetary situation, particularly during the Covid-19 pandemic. Forecasting the rupiah exchange rate is important to do and is one way to assess government policy. The data series to be used here are IDR exchange rate from the Yahoo Finance. It consists of 271 data taken from August 2017 to October 2022. This study aims to use the Autoregressive Integrated Moving Average (ARIMA) and Generalized Autoregressive Conditional Heteroscedasticity (GARCH) modeling method using the R-studio software and predict the IDR exchange rate. The ARIMA method describes the data based on a certain time series. ARCH-Lagrange Multiplier (ARCH-LM) was applied on the residuals of the best ARIMA model to test whetoer the data is heteroscedasticity. The testing result shows that the residual of the IDR exchange rate is heteroscedasticity. Therefore, the GARCH model can be used to handle it. The results of this study are obtained for the ARIMA(2,1,3) GARCH(3,6) model as the best and describe the actual data pattern with a mean absolute percentage error (MAPE) forecasting value is 1,99%.
MODEL EPIDEMIK CAMPAK DENGAN ADANYA VAKSIN PADA POPULASI RENTAN DAN SUPPORT PADA POPULASI TEREKSPOSE Tri Puspa Lestari; Yuni Yulida; Aprida Siska Lestia
Jurnal Matematika Sains dan Teknologi Vol. 24 No. 1 (2023)
Publisher : LPPM Universitas Terbuka

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33830/jmst.v24i1.4062.2023

Abstract

Measles is a highly contagious disease and often occurs in children due to malnutrition, especially children with vitamin A deficiency and a weakened immune system. In addition to vaccination, the role of parents is needed in the form of support to control the development of the virus in the body. This measles disease can be modeled through a mathematical model, especially epidemic model. This study aims to explain the formation of a mathematical model of measles, determine the equilibrium point, basic reproduction number, stability analysis, and to perform numerical simulations on the model. The research procedure begins with construct a model using a system of nonlinear differential equations. The basic reproduction number can be determined using the next generation matrix method and analysis of model stability using the linearization method. While numerical simulation has been carried out using the fourth order Runge Kutta method. The result of this study is the formation of a mathematical model of measles with a population consisting of four compartments, namely Susceptible, Exposed, Infected and Recovered. Disease control is carried out in the model, namely vaccines in the Susceptible population and support measures in the Exposed population. From the model formed, two equilibrium points are obtained, namely the disease-free equilibrium point and the endemic equilibrium point. Furthermore, the basic reproduction number formula and analysis of the stability of the model at the disease-free equilibrium point and endemic equilibrium point are also obtained. Finally, a simulation model is presented to support stability analysis and comparison of solutions for the Infected population before being given control support and after being given control support with variations in vaccine percentages.

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