Journal of Mathematics UNP
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.
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<![CDATA[Fuzzy Time Series Markov Chain dalam Meramalkan Nilai Tukar Mata Uang (Kurs) Antara Ringgit Malaysia dengan Rupiah ]]>
<![CDATA[Poppy Mangkunegara]]>;
<![CDATA[Yerizon Yerizon]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10602
<![CDATA[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.]]>
<![CDATA[Optimasi Produksi Tanaman Padi dan Jagung di Kabupaten Pesisir Selatan Menggunakan Metode Fungsi Penalti Eksterior ]]>
<![CDATA[Emmelia Safani]]>;
<![CDATA[Devni Prima Sari]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10593
<![CDATA[Abstract — Planted area, harvested area, and the average production of rice and maize in Pesisir Selatan Regency in 2010-2018 fluctuated, thus affecting agricultural conditions and the economy of the community and government. Therefore, it is necessary to have an optimal planting area, harvest area, and average production of rice and maize. The purpose of this study was to determine the form of a mathematical model and the results of the solution to optimize the production of rice and maize in Pesisir Selatan Regency with the exterior penalty function method. This research method explains the basic concept of the n-order polynomial regression method for the mathematical model of nonlinear programming problems and solving nonlinear programming problems with the exterior penalty function method. The exterior penalty function method converts a constrained nonlinear problem into a constrained one. The data used are secondary data obtained from the publication of the Puasat Statistics Agency for Pesisir Selatan Regency in 2010-2018. The optimal result of the exterior penalty function method for rice plant area is 66.667 Ha, the planted area of maize is 16.667 Ha, and the average total production of rice and maize is 236,56 Kw/Ha. Keywords — Production of Rice and Corn, Polynomial Regression Method, Exterior Penalty Function Method.]]>
<![CDATA[Faktor-Faktor yang Mempengaruhi Indeks Pembangunan Manusia (IPM) Provinsi Sumatera Barat dengan Menggunakan Analisis Regresi Data Panel ]]>
<![CDATA[Silvia Fransiska]]>;
<![CDATA[Yusmet Rizal]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10607
<![CDATA[Abstrak— The Human Development Index (HDI) is a parameter that functions to assess the success of the quality of human life. The increase in HDI in West Sumatra Province was not accompanied by an equal distribution of HDI in each Regency / City. The factors used in the study are poverty, life expectancy (AHH), average school length (RLS), long school expectancy (HLS), per capita expenditure and economic growth. The research was conducted to see what factors influenced HDI in West Sumatra Province from 2012 to 2018, in which districts / cities were divided into three regional groups based on regional profiles, regional potential and average regional income. The results showed that AHH, RLS, HLS and per capita expenditure were factors that influenced HDI for group I regions. Poverty, HLS and expenditure per capita were factors that influenced the HDI of group II regions. Keywords: HDI, Panel Data Regression Analysis, Fixed Effect Model (FEM).]]>
<![CDATA[Aplikasi Met.ode Sin.gle In.dex dal.am Pembentukan Port.ofolio Opt.imal da.ri Indeks Sah.am LQ – 45 ]]>
<![CDATA[Muhammad Hafizh Ekaputra]]>;
<![CDATA[Media Rosha]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10598
<![CDATA[Abstract — Investment is the activity of placing a number of funds at the present time with the aim of obtaining future benefits. The problem faced by investors is determining which stocks to choose in order to get maximum profit. Steps taken in order to get maximum profit is to form an optimal portfolio. T.he pu.rpose of th.is st.udy is to fo.rm an optimal portfolio of stocks incorporated in LQ-45 in the period August 2018 - July 2019 and determine the proportion of funds for each member of the opti.mal port.folio for.med using the sin.gle ind.ex met.hod. This study uses secondary data obtained from Yahoo Finance and Bank Indonesia. Purposive sampling is the sampling technique used. There are 41 stocks that still survive du.ring the obser.vation per.iod. The results of the analysis obtained from 41 LQ-45 stocks are that there are four stocks that are included in the optimal portfolio, namely; ADHI, EXCL, MNCN and TLKM with each proportion of funds of 4.081944%, 9.9706955%, 3.1884027%, and 82.7589578%. Keywords --- investation, portofolio, single index method]]>
<![CDATA[MODEL ECONOMIC ORDER QUANTITY (EOQ) DENGAN MEMENUHI BACKORDER DAN PERMINTAAN DENGAN PEMBAYARAN KREDIT 2 TINGKAT ]]>
<![CDATA[Bella Guivera Diandes]]>;
<![CDATA[Muhammad Subhan]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10589
<![CDATA[Abstract— Generally, payment is made after the buyer receives the goods from the seller. At this time the development of the business world in Indonesia is increasingly rapid and various innovations have emerged, such as sellers will offer a delay in payments to buyers to complete transactions. This also applies to buyers to apply trade credit to their customers as a tool to attract customer interest to increase demand. Thus this paper will discuss the effect of a two-tier trade credit, on the optimal order quantity of an economical retailer with permitted shortages of goods. And assume the buyer demand function increases over time. The purpose of this inventory model is to maximize profits. With this, we model it in mathematical form. We can see the effect of the parameters on the decision variable of fulfilling the backorder and two-level credit payments. Keywords—EOQ, Backorder, Two-level trade credit.]]>
<![CDATA[Faktor-Faktor Yang Mempengaruhi Kunjungan Ibu ke Posyandu Nagari Kayu Tanam Kabupaten Padang Pariaman Menggunakan Analisis Faktor ]]>
<![CDATA[Putri Anisah]]>;
<![CDATA[Helma Helma]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10603
<![CDATA[Abstract — Posyandu is a health service provided by the government for the community. Of the many mothers who have babies or toddlers, and pregnant women are of the opinion that the visit to the posyandu has no effect on their children. This study aims to determine the factors that influence the mother's visit to Posyandu Nagari Kayu Tanam, Padang Pariaman. This study aims to determine the factors that influence the mother's visit to the Posyandu Nagari Kayu Tanam, Padang Pariaman. This type of research is applied research using primary data obtained from the results of filling out the questionnaire. The population in this study were all mothers who have babies or toddlers and 133 pregnant women in Nagari Kayu Tanam, Padang Pariaman. The sampling technique is total sampling. There are two factors that influence the mother's visit to the Posyandu Nagari Kayu Tanam, namely, external factors consisting of distance from the posyandu, family support, and the role of cadres. Internal factors consist of mother's attitude and posyandu facilities. Keywords — posyandu, factor analysis, total sampling. ]]>
<![CDATA[Pembentukan Portofolio Optimal dengan Model Markowtz dan Two-Fund Theorem pada Saham LQ-45 di Bursa Efek Indonesia ]]>
<![CDATA[Febriani Febriani]]>;
<![CDATA[Media Rosha]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10594
<![CDATA[Abstract — Inflation is an increase in the level prices continually. The impact of inflation can be overcome by investing capital or resources carried in an asset with the expectation of obtaining profits in the future which is called investment. Portfolio is a set of several assets to reduce of risk. One of the way to form an optimal portfolio is Markowitz Model using Two-Fund Theorem that can present a portfolio of the smallest risk according to investor preferences. The purpose of this research is to determine the composition of optimal portfolio and proportion of fund from each stock in optimal portfolio.This research used secondary which is consist of 42 samples in LQ-45 during February-July 2019. The result of analysis 42 samples there are 7 stock to form an optimal portfolio with the proportion of them. They are BBRI 43.91%, BRPT 24.08%, EXCL 14.75%, INTP 0.35%, JSMR 8.75%, MNCN 3.57%, WIKA 4.59%. Keywords — optimal portfolio, markowitz model, two-fund theorem.]]>
<![CDATA[Metode Euler-Milstein untuk Solusi Numerik Persamaan Diferensial Stokhastik Ornstein-Uhlenbeck ]]>
<![CDATA[Taufik Iqbal]]>;
<![CDATA[Muhammad Subhan]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10608
<![CDATA[Abstract —The Ornstein-Uhlenbeck.equation is a stochastic differential equation, this equation.is often used in the financial mathematical model. However, to find the solution the Ornstein-Uhlenbeck equation.is.difficult.to complete analytic so it can also be solved by looking for numerical solutions. To get a better numeric solution it is required a numeric. method by. looking at converged. The purpose of the study is to examine. the Euler-Milstein method formula for the solution of the Ornstein-Uhlenbeck equation, shows that numerical solution of Ornstein-Uhlenbeck equation that resulted by Euler-Milstein.method has strong convergence. to exact solutions and create an algorithm to find the solution of Ornstein-Uhlenbeck equation with the Euler-Milstein method. Keywords — stochastic.differential.Equations, ornstein-uhlenbeck equation, euler- milstein method ]]>
<![CDATA[Model Host-Vector Penyebaran Virus Zika ]]>
<![CDATA[Nadia Wulandari]]>;
<![CDATA[Muhammad Subhan]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10599
<![CDATA[Abstract— Zika is a disease caused by the bite of an infected Aedes mosquitoes, especially the Aedes aegypti mosquitoes. Besides being transmitted by mosquito bites, zika can also be transmitted by human sexual contact. The purpose is to determine the spread of zika virus through two populations and determine the paraeters that affect the distribution that are sensitive or affect the dynamic system. This research is a basic research, using descriptive methods. This method is done by analyzing theories related to the problem. Based on the results of the sensitivity analysis, it was found that the parameter affecting the basic reproductive value was the rate of mosquito bites and lifespan of vector. If the mosquito bite rate and the lifespan of the mosquito increase, then the basic reproductive value will also increase so that the zika virus will become epidemic. Keywords— Host-Vector Model, Zika, Sexual Transmission, Vector Transmission.]]>
<![CDATA[Kajian Model Nonlinear Menggunakan Separable Programming dan Algoritma Genetika pada Lavera Konveksi Padang ]]>
<![CDATA[Cory Grahayu]]>;
<![CDATA[Media Rosha]]>
<![CDATA[ Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP ]]>
Publisher : <![CDATA[UNIVERSITAS NEGERI PADANG ]]>
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DOI: 10.24036/unpjomath.v5i3.10590
<![CDATA[Abstract— Convection is a line of business in the finished clothing section that producess on a large scale or in massive. In the production process, in general the working of convection are not based on customer orders, but based on a standard size. Lavera convection is one of the famous convection in the city of Padang that has obstacles in controlling orders. The purpose of this study is to determine the shape of nonlinear models from optimization of production costs in Lavera Convection using Separable Programming and Genetic Algorithms. The type of research is applied research with secondary data type. The method of data collection was carried out by researchers to the Lavera Convection in Padang and followed by data collection. Separable Programming Method is a method for transforming nonlinear objective functions into linear objective function. By completing the schedulling model using the Genetic Algorithm, the result is the minimum production cost incrured is Rp. 65.223.468, 43 with 540 long-sleeved shirth, 540 collared shirts, 360 T-shirts, 540 training pants. Keywords—optimization, production, nonlinear programming, separable programming, genetic algorithms ]]>
