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Kiswara Agung Santoso
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Majalah Ilmiah Matematika dan Statistika (MIMS)
Published by Universitas Jember
ISSN : 14116669     EISSN : 27229866     DOI : https://doi.org/10.19184
Core Subject : Education,
Mathematics
The aim of this publication is to disseminate the conceptual thoughts or ideas and research results that have been achieved in the area of mathematics and statistics. MIMS, focuses on the development areas sciences of mathematics and statistics as follows: 1. Algebra and Geometry; 2. Analysis and Modelling; 3. Graph Theory and Combinatorics; 4. Computer Science and Big Data; 5. Application of Mathematics and Statistics.
Arjuna Subject : Matematika - Matematika (Lain-Lain)
Articles 120 Documents
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Locf imputation for Astra Agro Lestari Tbk. (Indonesia) and Anadolu Group (Turkey) stock Mubarak, Fadhlul; Aslanargun, Atilla; Sundara, Vinny Yuliani
Majalah Ilmiah Matematika dan Statistika Vol 22 No 2 (2022): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v22i2.32305

Abstract

This study aims to apply time series graphs on stock of Astra Agro Lestari Tbk. and Anadolu Group with last observation carried forward (LOCF) imputation. The imputation was used because the data for the two companies had missing values on several dates. Missing value contained in the company Astra Agro Lestari Tbk. in Indonesia more than Anadolu Group in Turkey because of the difference in the number of holidays. Original data and data with complete dates are combined to form new data where missing values are seen on certain dates. The function used in the R program to form the graph is xts. However, the Date variable has a character class so it needs to be changed to the Date class. The xts function will error if the class is not changed. The modification also causes the horizontal axis of the graph to be replaced by the date. Based on the chart of stock prices and transaction volume of stock of the company Astra Agro Lestari Tbk. and Anadolu Group experienced increases, decreases, and is constant on several dates. Keywords: missing value, R programming, stock prices, transaction volume. MSC2020: 62M10, 91B84, 62-04
Penerapan algoritma Dinkelbach dan transformasi Charnes Cooper pada pemrograman fraksional linear di UD Bintang Furniture Musthofa, Muhammad Wakhid; Safitri, Evira Dian
Majalah Ilmiah Matematika dan Statistika Vol 22 No 2 (2022): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v22i2.31615

Abstract

Linear fractional programming is a special case of non-linear programming with an objective function consisting of the ratio of two linear functions. The problem can be solved using the Dinkelbach algorithm and the Charnes Cooper transformation. The essence of these two methods is to convert the problem of linear fractional programming into a linear programming problem which then provides an optimal value of each variable in its objective function. In this study, we will solve the problem of linear fractional programming at UD Bintang Furniture, that is to determine the optimal value of the comparison between profits and production costs of the company. The results show that the Dinkelbach algorithm method requires more iterations than Charnes Cooper's transformation. Despite this, both methods produce the same optimal value. Keywords: Linear fractional programming, Dinkelbach algorithm, Charnes Cooper transformation. MSC2020: 90C32
Variasi spasial dan temporal nilai-b pada gempa bumi di wilayah Sulawesi Tengah, Gorontalo, dan sekitarnya menggunakan metode robust fitting Fitriyati, Nina; Wijaya, Madona Yunita; Bisyri, M. Alvi
Majalah Ilmiah Matematika dan Statistika Vol 22 No 2 (2022): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v22i2.33817

Abstract

This study discusses variation in seismic and tectonic modeled by a Gutenberg-Richter relationship for earthquakes in the Central Sulawesi, Gorontalo, and surrounding areas using the Robust Fitting Method (RFM) with the weight function of Tukey’s bisquare. The declustering process on earthquake data is carried out using the Reasenberg equation. The values for both parameters are analyzed spatially and temporally. In the spatial analysis, the research area is divided into 43 grids. In the temporal analysis, the research area is divided into zone A and zone B. The data grouping is done using a sliding time window method, i.e., grouping 50 earthquake catalogs with 5 overlapping events. The results according to spatial analysis show that the b-values range from 0.38 – 1.19. Areas with low b-values (0.38 – 0.7) occur around the Palu-Koro Fault, i.e., Palu city, Malacca strait, and to Toli-Toli, and also in the northern region of Gorontalo, i.e., the subduction plate of the Sulawesi Sea. Meanwhile, high b-values (0.71 – 1.19) are in the Tomini Bay area which is an area with frequent occurrence of earthquakes but has the small potential to generate large-scale earthquakes. The results of the temporal b-value estimation in zones A and B range between values of 0.38 - 1.25. The b-values appear to decrease before the occurrence of major earthquakes in 1996 and 2018 in zone A. The b-values decreased before the occurrence of major earthquakes in 1990, 1991, 2000, and 2008 in zone B. However, the b-values cannot be used as a precursor before the big earthquake in 1997. Keywords: Tukey’s bisquare, Reasenberg equation, Gutenberg-Richter relationship, sliding time window, Robust Fitting Method. MSC2020: 86A15
Peramalan curah hujan di Provinsi Aceh menggunakan metode Box-Jenkins Nurhafifah, Nurhafifah; Patriardian, Ferdy; Hidayati, Alfy; Alzahira, Ratu Rahil; Tasyant, Deva Jhuandra; Anwar, Samsul
Majalah Ilmiah Matematika dan Statistika Vol 23 No 1 (2023): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v23i1.34702

Abstract

Floods are one of the natural disasters that frequently occur in Indonesia, including in Aceh Province. Floods primarily occur when rainfall is intense, mainly in the rainy season. Flood disaster management in Aceh Province is still not optimal, so efforts are required to minimize the negative effects of the flood disaster. One of the efforts that can be done is to predict the rainfall that may occur in the future. This study aims to predict rainfall in Aceh Province in 2022 and 2023. The data employed are monthly rainfall data in Aceh Province from 2014 to 2021. The forecasting method employed to predict rainfall is the Autoregressive Moving Average (ARMA) model. Forecasting results using the ARMA (8,6) model show that rainfall in Aceh Province in 2022 and 2023 are predicted to tend to be intense in March, April, May, September, October and November. The Aceh government together with the district/city governments need to prepare anticipatory steps, for example by cleaning water flows like ditches and rivers and socializing about the dangers of flooding and its causes, especially for people living in watersheds. These actions are expected to minimize the potential for flooding in Aceh Province in the future, especially when rainfall is predicted to be intense. Keywords:Aceh Province, box-jenkins, flood, forecasting, rainfallMSC2020:62M10
Modifikasi metode iterasi berorde tiga dengan orde konvergensi optimal Agustina, Annisa; Wartono, Wartono
Majalah Ilmiah Matematika dan Statistika Vol 23 No 1 (2023): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v23i1.33940

Abstract

Weerakoon-Fernando’s and Homeier’s methods are a third-order iterative method to solve nonlinear equations. A new third-order iterative method is constructed by sum of Weerakoon-Fernandon’s and Homeier’s method. This paper discusses the modification of the third-order iterative method using contra harmonic mean with involving one real parameter q. The aim of this modification is to improve the convergence order of the method and keep the number of function evaluations. Based on the result of study shows that the method has a third-order of convergence for and a fourth-order of convergence for with three evaluation of functions. Furthermore, numerical simulation is given to exam the perfomance of the methods. The measurement of performance of the methods, such as : number of iterations, number of function evaluations, numerical convergence order, and value of function, are compared with Newton’s, Weerakoon-Fernando’s, and Homeier’s methods. Generally, the result of numerical simulation shows that the new method for has better performance than others. Keywords: Weerakoon-Fernando’s method, Homeier’smethod, order of convergence, contra harmonic mean, evaluation of functionMSC2020: 41A25, 41A58, 65H05
Solusi optimal masalah transportasi biaya tetap menggunakan metode pendekatan tangga Rahayu, Nizmi Fitri; Muhtarulloh, Fahrudin; Nuraiman, Dian
Majalah Ilmiah Matematika dan Statistika Vol 23 No 1 (2023): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v23i1.36402

Abstract

One special case in transportation problems is the problem of fixed cost transportation, where in this transportation problem there are two cost components, namely fixed costs and variable costs. The difficulty encountered when solving the problem of fixed costs is caused by the behavior of these costs which do not depend on the number of units loaded/transported on the route traversed. The purpose of this study is to determine the optimal solution to the fixed cost transportation problem. This research uses Balinski's linear approach, namely the Stairs Approach Method. The case study used is unbalanced data measuring 3x8, where the fixed costs are vehicle rental costs and the variable costs are fuel. The optimal solution obtained is Rp. 11511.411.768.000,- (eleven trillion five hundred eleven million five hundred eleven billion four hundred eleven million seven hundred sixty-eight thousand rupiah). So it can be concluded that the Ladder Approach Method can be used to find the optimal solution to the fixed cost transportation problem. Keywords:Fixed costs, transportation problems, stairs approach method, optimal solutionMSC2020:76N25
Analisis regresi data panel terhadap indeks pembangunan manusia (IPM) kabupaten/kota di Jawa Timur tahun 2017-2021 Nikmah, Ifadhotun
Majalah Ilmiah Matematika dan Statistika Vol 23 No 1 (2023): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v23i1.32744

Abstract

The Human Development Index (HDI) is one of the main performance indicators that becomes a benchmark for the success of human development which consists of the dimensions of education, health and per capita expenditure. The government's role is very strategic in determining development priorities to realize an improved human development index. The purpose of this researchwas to determine the effect of the variables of Poverty Level, Economic Growth and GRDP per Capita on the Human Development Index (HDI) in 38 Regencies/Cities in East Java Province in 2017-2021. The technique used in this research is Panel Data Regression analysis. The result indicate that the Fixed Effect Model (FEM) Cross Section Weight was chosen as the best modelcompared to the Common Effect Model (CEM) and Random Effect Model (REM). Simultaneously, the poverty rate, economic growth and GRDP per capita have a significant effect on the HDI. Partially, poverty level and economic growth have a negative and significant impact on HDI in districts/cities in East Java, while income per capita has a positive and significant impact on HDI. Economic growth has a negative effect on HDI due to a contraction in economic growth to minus in 2021 due to the Covid-19 pandemic.The variable that has the most influence on the HDI is the poverty rate Keywords: HDI, panel data regression, fixed effect model cross section weightMSC2020: 62J05
Implementasi metode Ward clustering untuk klasterisasi penduduk yang memiliki jaminan kesehatan pada kabupaten dan kota di Provinsi Maluku Matdoan, Muhammad Yahya; Balami, Abdul Malik; Talakua, Mozart Winston
Majalah Ilmiah Matematika dan Statistika Vol 23 No 1 (2023): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v23i1.35168

Abstract

The Health Insurance Program is a protection guarantee for comprehensive health services which includes promotive, preventive and curative and rehabilitative services provided in stages for the community/participants whose contributions are paid by the government. The health insurance program in Maluku Province from year to year has been getting better. However, there are still disparities or gaps between regions in Maluku Province, so it is necessary to study the clusterization of the population who have health insurance in districts/cities in Maluku Province. Ward clustering method is a method that aims to get a cluster that has the smallest possible internal cluster variance. The purpose of this study is to obtain a cluster of residents who have health insurance in districts/cities in Maluku Province. The data used in this study were sourced from Maluku publications in figures at the Maluku Province BPS. This study obtained the results that there are 3 clusters in the cluster of residents who have health insurance in districts/cities in Maluku Province with details of cluster 1 consisting of Tanimbar Islands Regency, Central Maluku, Buru, West Seram, East Seram and South Buru District. Cluster 2 consists of Southeast Maluku Regency, Aru Islands, Southwest Maluku and Tual City. Furthermore, Cluster 3 consists of Ambon City. Keywords: Clustering, health insurance, wardMSC2020: 62H30
Optimization of production process scheduling at Mataram Convection using the Campbell-Dudek and Smith method and the Ho and Chang method Yunus, Muhammad Ahladi; Marwan, Marwan; Alfian, Muhammad Rijal
Majalah Ilmiah Matematika dan Statistika Vol 23 No 1 (2023): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v23i1.36403

Abstract

Konveksi Mataram (Djagoan Kaos dan Seragam) is one of the industries engaged in the manufacture of various types of clothing models with fabric as the basic material. So far, the scheduling method used by the company is the First Come First Serve method, in which the completion of production is based on order-to-order data. In this case, with high order intensity, companies often experience difficulties in completing orders according to a predetermined pick-up time. The problems experienced by the company were caused by the production process scheduling that was not optimal. Based on the problems encountered, the purpose of this research is to obtain the optimal scheduling sequence by determining the smallest makespan (minimum total completion time) of the application of the method to the production process. The methods used in this study are the Campbell-Dudek and Smith method and the Ho and Chang method and from these two methods, it is known that the smallest production process is optimal. Based on the results of calculations using the Campbell-Dudek and Smith method, the optimal scheduling sequence with the smallest makespan is 39163 minutes or the production process will be completed in 73 working days. While the results of calculations using the Ho and Chang method obtained the optimal scheduling sequence with the smallest makespan of 38660.50 minutes or the production process will be completed in 72 working days. From the makespans of the two methods, the Ho and Chang method is superior to the Campbell-Dudek and Smith method with a difference of 502.50 minutes or about 1 working day, whereas when compared to the company's initial method, namely First Serve First Come with a makespan of 43025.50 minutes, the HC method can make completion time efficient with a difference of 4365 minutes or about 8 working days. Keywords: Campbell-Dudek and Smith methods, first come first serve, Ho and Chang, makespan, production schedulingMSC2020: 90B30
Penerapan model regresi multilevel untuk data ketepatan waktu lulus mahasiswa Ula, Rahmatul; Ibnas, Risnawati; Nurfadilah, Khalilah; Nawawi, M. Ichsan; Asfar, Asfar
Majalah Ilmiah Matematika dan Statistika Vol 23 No 1 (2023): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v23i1.34479

Abstract

Multilevel logistic regression is one of the alternatives to solving a problem that has a nested data structure like the student data in Alauddin in 2016. The data indicates that students are nested in each different study program. This condition allows the students in the same study program tend to have similar characteristics. The study aims to gain a student graduating model of punctuality using multilevel regression analysis and recognize factors that have a significant impact on student graduating time. Based on our research, we find the best model that fits the data to be the random intercepts model with a random slope of gender variable. The variables that have significant effects are gender, cumulative achievement index, educational background, and accredited program. Keywords: logistic regression, nested, multilevel logistic regression, graduation of studentMSC2020: 62J05

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