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Journal of Mathematics UNP

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Published by Universitas Negeri Padang

ISSN : 23551658 EISSN : 28073460 DOI : http://dx.doi.org/10.24036/unpjomath.v7i3.12564

Core Subject : Science, Education,

Computer Science & IT Decision Sciences, Operations Research & Management Mathematics

Journal of Mathematics UNP is a journal to publish article from student researches in UNP Mathematics study program, and we also kindly accept other article from outside of our study program related to Mathematics: consists of publication in Algebra, Analysis, Combinatoric, Geometry, Differential Equations, Graph and/or Mixed Mathematics Applications: consists of publication in Application of Differential Equations, Mathematics Modelling, Mathematics Physics, Mathematics Biology, Financial Mathematics, Application of Graph and Combinatorics, Optimal Control, Operation Research, and/ or Mixed Statistics: consists of publication on Development and/ or Application of statistics in various aspects.

Arjuna Subject : Matematika - Matematika (Lain-Lain)

Articles 404 Documents

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Penentuan Cadangan PreminTahunan Retrospektif AsuransinJiwa Dwiguna Kasus JointnLife dengannMenggunakan Metode Fackler Noni Aryanti; Defri Ahmad
Journal of Mathematics UNP Vol 5, No 1 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract –The problem that insurance companies often face is that their small reserve premiums are acquired. The reserves will be used to pay compensation to insurance participants when a claim is made. As a effect, insurance companies will suffer losses. Therefore, it is discussed the determination of annual premium reserves of endowment insurance for joint life cases using the Fackler method with retrospective reserve. The Fackler method is used to calculate net premium reserves in the next few years in sequence. The calculationnof the reservenofnendowment insurance isndonenby forming a combined mortality table, determining the combined life annuity, a single premium, and an annual net premium. By using such calculation, the annual net premium formula and retrospective annual net premium reserve formulation are obtained. Keywords—premium reserves, retrospective, endowment insurance, joint life, Fackler method

Penyelesaian Sistem Persamaan Linear (SPL) Dengan Dekomposisi QR Shelvia Mandasari; Muhammad Subhan; Meira Parma Dewi
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – QR decomposition is a numerical method to solves a System Linear Equations with n equations and n variables. This decomposition obtained by Gram Schimdt process and inner product space. From that method make an algorithm, that has been made a computer program to solve that System Linear Equations with n equations and n variables. The solution that obtained by this decomposition more accurate with small errors because this method only use two process so this decomposition more effective than that other numerical method. Keywords -- Inner Product Space, Gram Schmidt Process, QR Decomposition

Peramalan Jumlah Pengunjung Objek Wisata Waterboom Kota Sawahlunto Tahun 2019 Menggunakan Metode SARIMA ulfah hanum; dewi murni
Journal of Mathematics UNP Vol 4, No 3 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract–The visitors of tourist attraction will change and tend to be inconsistent over the tim, one of them is Waterboom which is located in Sawahlunto. This tourist object lacks of public facilities when it shows the increasing number of the visitors. Therefore, it is needed to make a prediction as the base in decision making. This research to make a model ARIMA and to get the prediction’s result of the total number of the Waterboom’s visitors in 2019. The data used are the number of the Waterboom’s visitors from January, 2014 up to December, 2018. Data analysis using the Seasonal Autoregressive Integrated Moving Average (SARIMA). This method consists of identification model, falsification stage and parameter testing, diagnostic stage, and forecasting stage. The analysis’s result in this study gets the best model for predicting data of the total number of the visitors of Waterboom in Sawahlunto that is ARIMA(1,1,1)(0,1,0)12, and this model is used to make a prediction in the next 12 periods.Keywords–The Number of visitors, SARIMA’s Model, Forecasting

Fuzzy Time Series Markov Chain dalam Meramalkan Nilai Tukar Mata Uang (Kurs) Antara Ringgit Malaysia dengan Rupiah Poppy Mangkunegara; Yerizon Yerizon
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract— Currency exchange rates (exchange rates) can affect the economic stability of a country. Each country conducts international relations, one of which is Indonesia and Malaysia, namely Indonesia's export activities to Malaysia. This study aims to determine the accuracy rate of forecasting with MAPE and to determine the exchange rate (exchange rate) in the next period using the Fuzzy Time Series Markov Chain. This research is applied research with secondary data taken from the official website of Bank Indonesia. By converting the exchange rate data into linguistic values and then transferring it to a fuzzy logic group to determine the markov chain transition matrix, the forecast results can be obtained. The results of processing exchange rate data using the Fuzzy Time Series Markov Chain method obtained prediction accuracy reaching 96.78% of the actual data with a MAPE value of 3.22% and the forecast results on May 4 2020 amounting to IDR 3,468. Keywords—currency exchangerate, forecasting, markov chain fuzzy time series method.

Peramalan Jumlah Konsumsi Daging Sapi Indonesia Dengan Menggunakan Metode ARIMA M Fathoni Arnas; Helma Helma; Yenni Kurniawati
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract–Each year the consumption of beef in Indonesia is rising, but not followed by the high production of beef in the country. A shortage of beef production which cause the price of beef rises so it can’t beef affordable of society. Therefore be required estimate to amount of beef consumption in Indonesia. This is useful so that the Government can estimate of the consumption of beef is coming so that the Government try to satisfy the supply of beef consumption. One Forecasting method of used is ARIMA method. That formulation of the problem is "How Forecasting the amount of Beef consumption of Indonesia to 12 months ahead, from January 2016 until December 2016 with ARIMA method?” The results obtained from this research was getting Models ARIMA for the real level of 5% and 10% with each form of the equation is and . Keywords–ARIMA Method, Forecasting, BeefConsumption

Optimasi Rata - Rata Produksi Ubi Kayu dan Kedelai di Kabupaten Pasaman Barat Menggunakan Pemrograman Kuadratik Metode Wolfe Nurul Hikmah; Defri Ahmad
Journal of Mathematics UNP Vol 7, No 1 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

This research aims to form a mathematical model in the problem of optimizing the average yield of cassava and soybean yields in West Pasaman Regency based on data from the West Pasaman Statistics Agency from 2007 to 2017 regarding the harvest area and average production of cassava and soybeans. The solution to the average production optimization problem uses the Wolfe's Method of Quadratic Programming. Wolfe method is used using a two-stage simplex iteration. The mathematical model formed is a non-linear equation. The estimation of parameters in the mathematical model uses the least squares method, which is calculated using the Matlab software. Optimization results using the Wolfe Method Quadratic Programming obtained an average of 340.95 kw / ha of cassava and soybeans, with an optimal harvest area of 255.38 ha of cassava and 469.5 ha of soybean harvest area.

Analisis Perencanaan Produksi Padi Terhadap Lahan Panen Di Sumatera Barat Menggunakan Rantai Markov Waktu Diskrit Irfan Syauqi; Dewi Murni
Journal of Mathematics UNP Vol 7, No 2 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Rice production is one of the results of farming which is carried out by planting rice seeds, care and maintenance and regular fertilization. While the harvest land is a plant that is harvested after the plant is old enough. Harvested land affects rice production, if the harvested area is decrease then rice production will also decrease. For this reason, it is necessary to predict rice production and harvested land in the province of West Sumatra using a discrete time Markov chain. This research aims to determine the shape of the Markov chain model and the prediction results of rice production and harvested land in the province of West Sumatra for the period January 2021 to December 2021. The results showed that the opportunities for rice production in a row were drastically decreased, decreased, increased and drastically increased by 23,28%, 17,46%, 35,46% and 23,80%. Meanwhile, the opportunities of harvesting land in a row were that drastically decreased, decreased, increased and drastically increased by 23,47%, 16,90%, 38,50% dan 21,13%.

Optimalisasi Keuntungan pada Perusahaan Keripik Sanjai Mintuo dengan Metode Branch and Bound Dythia wulandari; Yusmet Rizal
Journal of Mathematics UNP Vol 5, No 1 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract— The purpose of the company is looking for profit or benefit as much as possible with the existing restrictions, one which of the lack in management is the terms of production (over product inventory or the products do not consumer market demand). Optimal use of raw ingredients is needed to maximize the amount of production that will the produce greater profits. The purpose of this study was to determine the shape of the model and the results of production at the Sanjai Mintuo company using the branch and bound method. The branch and bound method is a method used to found the integer programs. In the Sanjai Mintuo chips company, the optimal production results are 209 sanjai bargain, 154 Lado Red Sanjai, 133 Green Sanjai Lado, 117 packages of corn flavour with optimal benefit for production (for 3 days) Rp. 5.862.907. Keywords—branch and bound method, optimization, sanjai

Model Matematika Pengaruh Lingkungan Terhadap Dinamika Jumlah Populasi Pejudi Rozi Wahyudi; Media Rosha; Riry Sriningsih
Journal of Mathematics UNP Vol 6, No 2 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – The article discussed mathematical model of the environmental influences to dynamics of gambler population. This research was started with forming mathematical model of the environmental influences to dynamics of gambler population in non-linear differential equations system. Based on analysis model, there are two types of equilibrium point that are free equilibrium point of gambler and endemic equilibrium point. Existence and stability of the equilibrium points are determined by the basic reproduction number. By analyzing the model, obtained the stability of each equilibrium points.Keywords – mathematical model, gambler, equilibrium, stability, basic reproductive number

Model Matematika Penyebaran Penyakit Leptospirosis Pada Populasi Manusia Dan Hewan Delvika Gusdiani; Media Rosha
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract — Leptospirosis is an infectious disease that can affect humans and animals. This infectious disease is an animal disease that can infect humans. This disease is a public health problem around the world, especially Indonesia which has high rainfall. Individuals most at risk of developing leptospirosis are farmers who work in rice fields, plantation workers, slaughterhouse workers and veterinarians, laboratory workers and veterinarians. The purpose of this study was to form a mathematical model of the spread of leptospirosis in human and animal populations. This research is a basic research using theoretical methods, namely analyzing relevant theories with the problem of the spread of leptospirosis in human and animal populations based on existing literature studies. Based on the analysis results obtained two fixed points, namely a fixed point free from the spread of leptospirosis and an endemic fixed point for the spread of leptospirosis. The stability of this model is stable at both fixed points of leptospirosis in human and animal populations. The high rate of leptospirosis in the population will cause leptospirosis to become epidemic in the population.Keywords — Mathematical Model, Infectious Diseases, Leptospirosis.

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Defri Ahmad

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defri_math@fmipa.unp.ac.id

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+6281374333545

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defri_math@fmipa.unp.ac.id

Editorial Address
Jl. Prof. dr. Hamka Air Tawar Barat Padang

Location
Kota padang,

Sumatera barat

INDONESIA