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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 13 Documents

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Search results for , issue "Vol 4, No 1 (2019): Journal Of Mathematics UNP" : 13 Documents clear

Pengukuran Efisiensi Komoditi Industri Kerajinan Kabupaten Agam Menggunakan Metode Data Envelopment Analysis (DEA) Nurainun Pulungan; Arnellis Arnellis; Riry Sriningsih
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – Small and medium industries of Agam regency consist of five groups where one of them is craft industry that has a number of business units in Agam regency. To get more profit, measurement of efficiency needs to be done to improve productivity of craft industry. Method to measure level of efficiency is Data Envelopment Analysis (DEA) method. DEA method is linear programming model based on the measurement of efficiency a Decision-Making Unit (DMU) and uses a lot of inputs and outputs. The units will be measured those efficiency are commodities of craft industries with the production capacity of quantity unit. The measurement of efficiency commodities generates efficient and inefficiency DMU by using model of DEA. The level efficiency of inefficient DMU can be improved by utilizing the value of slack variables. After target calculation for improvements inefficient DMU and measurements of efficiency is again so that value of efficiency increases.Keywords – Efficiency, Data Envelopment Analysis, Inefficiency, Slack, Target.

Portofolio Mean Variance Efficient Dua Konstrain Pada 15 Saham Indeks LQ45 Fariz Rivalno; Dewi Murni; Riry Sriningsih
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – Portfolio is an investment tool in stocks that divide capital into a number of stocks according to the weight or percentage determined by the investor. For that, investors need to establish an optimal portfolio. One of the optimal portfolio methods is Mean Variance Efficient Two Constraints Portfolio. The purpose of this study is to obtain a formula for determining the investment weight and its application onMean Variance Efficient Two Constraints Portfolio to obtain minimal investment risk from 15 LQ45 Index stocks. The type of this research is applied research. The type of data is secondary data, in the form of closing pricestocks on the LQ45 Index period of November 9th, 2016 - March 2nd, 2017. Steps in the establishment of a portfolio is calculate the return, average return, variance return, covariance return, and find weight investment through formula on the portfolio. The result of this research is obtained a formula for determining the investment weight on Mean Variance Efficient Two Constraints Portfolio and formed an optimal portfolio on 15 LQ45 Index stocks. The portfolio provides 0.07% average return and 0.01% risk. Keywords –Constraint, LQ45 Index, Portfolio, Return, Stocks

Pengukuran Efisiensi Kinerja Komoditi Industri Sandang Kabupaten Agam Menggunakan Data Envelopment Analysis (DEA) Rahmatika Rahmatika; Dewi Murni; Yerizon Yerizon
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract –Clothing industry is the dominant industry inAgam. The performance of the commodities industry clothing can be determined from input and output factors. The measurement of efficiency is a way to see just how efficient use of inputs and outputs. All this time, it has not been done the measurement of efficiency of the performance of clothing industries in Agam. The measurement of the efficiency of the performance of the industries clothing agam purpose to look at the commodities industry efficient or inefisien. The measurement of efficiency can be using by the method of DEA using CRS and VRS model. For a DMU inefisien can be done by doing a calculation DMU improvement targets that leverages the value of slack. The calculation of the value of the target will be the calculation of the efficiency of the back which resulted in the DMU inefisien be efficient.Keywords – Data Envelopment Analysis, DEA CRS, DEA VRS, Slack, Target.

Analisis Portofolio Optimal Menggunakan Model Indeks Tunggal pada Saham Indeks IDX30 Periode Agustus 2017 – Juli 2018 Afdal Afdal; Media Rosha
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – This article discuss about optimal portofolio formation using single index model. On the optimal portofolio formed will be determined proportion of funds to be invested. This study was conducted on stocks incorporated into the IDX30 index during observation period August 2017 – July 2018. Data in this study are secondary data, obtained from Yahoo Finance and Indonesian Banks. Sample used was 27 stocks using the purposive sampling technique. Result of analysis on 27 IDX30 stocks, obtained 3 stocks that formed the optimal portofolio that is BBCA, ANTM, and PWON with the proportion each of funds is 89,8845921%, 8,9483672%, and 1,1670408%. Keywords: Investation, Optimal Portofolio, Single Indeks ModelAbstrak – Artikel ini membahas pembentukan portofolio optimal saham dengan model indeks tunggal. Pada portofolio optimal yang terbentuk ditentukan proporsi dana untuk diinvestasikan. Penelitian dilakukan pada saham yang tergabung ke dalam IDX30 selama periode pengamatan Agustus 2017 – Juli 2018. Data pada penelitian adalah data sekunder yang diperoleh dari Yahoo Finance dan Bank Indonesia. Sampel penelitian adalah 27 saham, dengan menggunakan teknik purposive sampling. Hasil analisis terhadap 27 saham IDX30, didapat tiga saham yang membentuk portofolio optimal, yaitu: BBCA, ANTM, dan PWON dengan masing – masing proporsi dananya adalah; 89,8845921%, 8,9483672%, dan 1,1670408%. Kata Kunci: Investasi, Portofolio Optimal, Model Indeks Tunggal

Optimasi Pendistribusisan Air Menggunakan Improved Zero Point Method (Studi Kasus di PDAM Tirta Kepri) Kurnia Apridita Utami; Media Rosha; Meira Parma Dewi
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – Clean water is a basic necessity for human beings that must be fulfilled. One of business entities enganged in the activities of the fulfillment of the need of clean water is PDAM Tirta Kepri. In its activities, some constraints are found that can increase distribution cost. To minimize the distribution cost at PDAM Tirta Kepri, Improved Zero Point Method is used. This method is a method to optimize transportation problem that can provide optimum solution directly without the aid of modification of other methods. The result of the calculation of the cost of the distribution done by PDAM Tirta Kepri from two springs and four distribution areas is Rp 20.397.467,12. By using the Improved Zero Point Method, the cost obtained is Rp 20.198.416,44,- Therefore, Improved Zero Point Method can optimize the distribution cost problem at PDAM Tirta Kepri without the aid of modification from other methods on transportation problem table.Keywords – Optimization, IZPM, Distribution of Water.

Analisis Metode Homotopi dalam Menyelesaikan Persamaan Lorenz Robi Kurniawan; Dewi Murni
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract Lorenz equations is one of the result of mathematical modeling of the three dimensional phenomenon of convection (air) in the atmosphere. In recent years, the Lorenz equations has attracted the attention of scientists and engineering because of the phenomenon chaos was produced. The complexity of the chaos produced cause the Lorenz equations to be very difficult to solve. This study aims to solve the Lorenz equations by using homotopy analysis method and then comparing it with the approximation on the ode45 solver. Solution using a homotopy method is done by constructing a zero-order deformation equation into a high-order deformation equation. In this method there is freedom in choosing a auxiliary linear operator, initial approximation, and convergent–control parameter that can guarantee the convergence solution. The resulting approximation is a series. The results of the study obtained 10th order homotopy approximation from the Lorenz equations, which is when it approach the ode45 approximation. Unfortunatelly the period of homotopy approximation is a very short.Keywords Lorenz equations, Chaos, Homotopy Method.

Metode Ordinary Kriging Menggunakan Semivariogram Isotropik dalam Menghitung Curah Hujan Kota Padang Anshari Luthfi Maulana Achiar; Helma Helma
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract Kriging is a geostatistical method to predict a spacial object with unknown value based on another spacial object with known value. Kriging becomes semivariogram model to achieve optimum prediction by using the influence of spacial correlation. Counting rate of rainfall in forecast was one of the special problem in geostatistic. During its measurement, Meteorological Climatological Geophysical Agency (BMKG) was having financial and post obstacles that some districts did not have the rainfall observation center. That condition blocks kriging method in counting the rate on that area. One of the Kriging method used was ordinary kriging conducted for stationary data without outlier to produce a BLUE (Best Linier Unbiased Estimator) prediction. The aim of this research is to predict Padang city rate of rainfall on June 2018 within each district and subsdistrict. Keywords Kriging, Semivariogram, Rainfall.

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

Model Fenomena Imbibisi Kontra-Arus pada Media Berpori Homogen dalam Arah Horizontal Vhinasy Andari; Muhammad Subhan; Riry Sriningsih
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract –The imbibition phenomenon is spontaneous flow of injected liquid (water) to the medium, causing displacement of native liquid (oil) to production wells. This phenomenon occurs in homogeneous porous medium. If oil is still in the medium then oil production is not yet optimally.To observe and analyze the phenomenon we usemathematical model. This model of imbibition phenomenon in form of nonlinear partial differential equations and the solution can be determined. The analysis representsoil that can be produced optimally if the saturation of water is increasing with respect to period as well as with respect to distance. Keywords – Mathematical Model, Imbibition Phenomenon, Homogeneous Porous Medium, Partial Differential Equations

Analisis Portofolio Optimal Menggunakan Metode Multi Objektif pada Saham Jakarta Islamic Index Efriandi Dwi Septyanto; Media Rosha
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract- Multi-Objective method for portfolio is a portfolio that is aimed to minimize the risks and maximize the expected return at the same time.The multi-objective optimization can be solved with scalarization which is a standard technique to find the optimum points for each optimization vector problems.The purpose of the research is to find out how to build optimal portfolios with optimization method of Multi-Objective and to know the proportion of their respective shares of the selected Jakarta Islamic Index in the optimal portfolio. The steps were taking the data of the stock prices of the companies that have been selected, calculating the expected return and variance-covariance of the return for each stocks, calculating the value of the portfolio of each stocks, and calculating the value of expected return of a portfolio that is formed using the method of Multi objective. The research results obtained optimal portfolios which was measured using coefficient k=10 with the capital sharing that was invested stock to ASII, CPIN,CTRA, EXCL, ICBP, PTBA, SMGR, and TLKM with proportion stock are 18,61%, 29,60%, 0,30%, 0,44% , 28,70%, 6,91%, 7,92%, dan 7,52%. Keywords: Multi Objective Methods, shares of JII, Optimal Portfolio

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Editorial Team

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Phone +6281374333545

Journal Mail Official defri_math@fmipa.unp.ac.id

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

Location Kota padang, Sumatera barat INDONESIA

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Contact Name
Defri Ahmad

Contact Email
defri_math@fmipa.unp.ac.id

Phone
+6281374333545

Journal Mail Official
defri_math@fmipa.unp.ac.id

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

Location
Kota padang,

Sumatera barat

INDONESIA