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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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Optimasi Biaya Distribusi Pengiriman Beras Sejahtera pada Perum Bulog Divisi Regional Sumatera Barat dengan Kombinasi North West Corner Method (NWCM) dan Stepping Stone Method (SSM) Yeni Feriza; Dewi Murni
Journal of Mathematics UNP Vol 5, No 1 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract — The problem that the transportation model wants to solve is the determination of the distribution of goods which will minimize the total cost of distribution. Perum Bulog of the West Sumatra Regional Division as the executor of the prosperous rice program for several regions spent quite large funds for distribution activities, one of which was distribution in Padang Pariaman Regency. A transportation method is needed to find the best solution of the transportation problem (transportation), which are NWCM and SSM. NWCM as an initial method serves to determine the initial distribution allocation which will make all resource capacity allocated to all destinations, while SSM is an optimization test. The results of the calculation of the cost of distribution with NWCM are IDR27,967,340. Continued by an SSM of IDR 25,227,010. While the total real cost is, So that the calculation of the cost of distributing prosperous rice delivery using SSM is the optimum cost, the company can save transportation costs by IDR 3,335,130 or by 12%. Keywords — NWCM, SSM, Distribution fees.

Penggunaan Metode Triple Exponential Smoothing Tipe Brown dalam Meramalkan Pergerakan Kasus Positif Covid-19 di Kota Padang Nurul Umiati Husna; Arnellis Arnellis
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract — Covid-19 is an infectious disease that caused by SARS-CoV-2 virus. This virus can cause the patient gotten respiratory problems, such as Pneumonis, SARS, and MERS. The amout of Covid-19 cases have been increased everyday. Therefore, it is necessary to do forecasting for the movement of positive Covid-19 cases in Padang City for the next few days. The purpose of this research was to find out the form of a model for the movement of positive Covid-19 cases in Padang City and to know the results of the movement of positive Covid-19 cases in Padang City. The type of this research is applied research. The method that used in this research is Triple Exponential Smooting Brown Type with the parameter of that minimize the value of MSE was 0,29. The results of this research showing the movement of positive Covid-19 in Padang City from August 15, 2020 to August 19, 2020 was 907, 933, 960, 987, and 1016 cases. Keywords — Covid-19, The movement of positive cases, Forecasting, Triple Exponential Smoothing Brown Type.

Optimalisasi Portofolio Saham LQ-45 menggunakan Model Indeks Tunggal dan Pengukuran Value at Risk dengan Variance Covariance Yoga Perdana; Dony Permana; Riry Sriningsih
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract – Investments are placing a current amount of funds with the aim of making a profit in the future. The problem faced by investors is to determine which assets should be selected to obtainmaximum profit and minimum losses. This research aims to determine the amount of proportion of funds invested into the optimal portfolio and to know the value of Value at Risk (VaR) on stocks that go into the optimal portfolio. Based on research on LQ-45 stock group found 15 stocks enter into the optimal portfolio from 45 shares of the company. Bank Tabungan Negara (Persero) Tbk. (BBTN) has proportion 18.01% as the largest propotion of funds. Based on the calculation of VaR in the optimal portfolio, obtained VaR value of 8,747,069, which means if investors invest funds in the portfolio of Rp 100,000,000.00 maximum losses to be suffered by investors with 95% confidence level will not exceed Rp 8,747,069.00.

Sifat-Sifat Matriks Ketetanggaan Pada Graf Petersen Yuco Alsbaldo; Muhammad Subhan
Journal of Mathematics UNP Vol 6, No 3 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Graphs are used to represent discrete objects and the relationships between these objects. One of the best known and very popular examples of graphs is Petersen graph.Petersen graph is very popular because of its uniqueness as a counterexample in many places and has many interesting properties. Graphs can beexpressed in the form of a matrix adjacencywhich is denoted. When a graph can be expressed in the form of an adjacency matrix, its determinants and eigenvalues can be determined. This research is a theoretical research through literature study. The purpose of this study is to find out how the properties of the adjacency matrix on a Petersen graph are. The concept that will be discussed in this research is how the properties of the determinants and eigenvalues of the adjacency matrix on the Petersen graph. The result of the research is that the determinant of the adjacency matrix on the Petersen graph is positive with three different eigenvalues and can be diagonalized because the algebraic multiplicity is the same as the geometric multiplicity mA = mG

Optimasi Rute Pengiriman Produk dengan Meminimumkan Biaya Transportasi Menggunakan Metode Saving Matrix di PT. DEF Elfiani Sarian Bur; Dewi Murni; Yenni Kurniawati
Journal of Mathematics UNP Vol 4, No 2 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract–Decreasing water of systim water supplier factory represents difference the distribution value with consumption value. This case is used as a benchmark to the efficiency of the distribution system by the development of system water supplier factory. This cases can cause disadvantages to the systim water supplier factory. Therefore in the next few years, this case needs to be forecasting that the systim water supplier factory has plans and appropriate action in order to the minimaze it. This research is to obtain a forecasting model and predict decreasing water of system water supplier factory Padang Panjang city in2015 until 2019. The forecasting method used is triple exponential smoothing of brown type. The parameter α is used 0.128 which gives the value of Mean Square Error (MSE), that the smallest is 8.0892145076 ×1010. Forecasting of decreasing water system water supplier factory from 2015 to 2019 ranged from 1402382,354m3to1757709,053m3 . Keywords – Water decrease, Forecasting, Exponential Smoothing Triple Brown Type, Mean Square Error (MSE).

Analisis Cluster Hierarki Metode Single Linkage Pada Kabupaten/Kota di Provinsi Sumatera Barat Berdasarkan Indikator Kesehatan Diah Rahmahadi Thamrin; Dewi Murni
Journal of Mathematics UNP Vol 7, No 3 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Health indicators are variables that are needed to estimate the conditions and changes faced by an area in the health sector. Health indicators are needed by the government to plan development in the health sector inaorderitoaachieve optimal resultsiin accordance with the conditions of each region. This study aims to group districts/cities in West Sumatra Provinceabasedion health indicators in 2020 and interpret the characteristics of each cluster that has been formed by using a single linkage method of hierarchical cluster analysis. The results of the grouping are dividedainto five clusters, the first cluster consists of the Mentawai Islands Regency. The second cluster consists of 12 regencies/cities namely Pesisir Selatan Regency, Padang Pariaman Regency, West Pasaman Regency, Agam Regency, Pasaman Regency, Dharmasraya Regency, South Solok Regency, Sawahlunto City, Bukittinggi City, Payakumbuh City, Solok City and Padang Panjang City. The third cluster consists of 4 regencies, namely Solok Regency, Tanah Datar Regency, Fifty Kota Regency and Sijunjung Regency. The fourth cluster consists of Kota Pariaman. The fifth cluster consists of the City of Padang.

Penentuan Akar Persamaan Tak Linier Menggunakan Metode Prediktor-Korektor Halley Khairil Amri; Minora Longgom Nasution; Riry Sriningsih
Journal of Mathematics UNP Vol 6, No 2 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract-Nonlinear equation which is difficult to solve by analysis, but it can be solved using approach of variety of numerical methods, for instance Newton-Raphson and Halley Methods. However, the methods are not guaranteed to be convergent. Predictor Corrector Halley's method is one of the method that appear from the advantages and disadvantages of Newton-Raphson and Method of Halley. This method uses the Newton-Raphson Method as predictor and Halley's Method as corrector. It has a higher order and more efficient from Newton-Raphson and Halley methods. The advantage of this method has a higher convergence that has sixth-order convergence so that the step of the iteration is fewer. Next,an algorithm of this method is used to determine the root approximations of nonlinear equations.Key Words-Non Linear Equations, Newton Method, Halley Method, Prediktor Corector Halley Method, Algorithm.

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

Pendugaan Data Hilang Menggunakan Metode Connected EM-AMMI dalam Bahasa R Siskha Maulana Basrul; Atus Amadi Putra; Yenni Kurniawati
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract –The Multilocation experiment, complete data are estimated with AMMI (Additive Main Effect and Multiplicative Interaction). But, if data in the research is not complete, then it can not be analysis with AMMI. The method can be use in estimator of unbalance data is “ The Method of Connected EM-AMMI with R”. The purpose of estimator from unbalance data with connected EM-AMMI in R is for knowing the procedures of estimator unbalance data in R. The source of data is in the research is the harvest’s result of rice in four cities’s West Sumatra. After that, we get 1.25 % Mean Absolute Percentage Error (MAPE). It shows that the estimator of unbalance data with using connected EM-AMMI’s method. Keywords – AMMI, connected EM-AMMI, unbalance data, MAPE.

Menentukan Determinan Matriks Persegi Panjang Menggunakan Bahasa C++ Diego Armando Piero; Dewi Murni
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Abstract — One study in matrix theory is determinant. Matrix determinants are widely used in solving matrix problems, such as: determining eigenvalues, systems solutions of linear and inverse equations. In determining a determinant of a square matrix is usually not easy especially with a large order matrix. The concept of determinant that has been known is generally true for square matrices. In this research, it will be studied about its development, which is about the determinant of non-square matrix (rectangular matrix). This research is a theoretical research through library research on determinant theories and programming theories. The purpose of this research is to determine the determinant of a rectangular matrix using C ++ language. The method used is the analysis of theories relevant to the problem of calculating rectangular matrix determinants using the C ++ language. The results of the study are produced programs that can determine the determinant of a rectangular matrix. Keywords — determinant, matrix, radic method, programming.

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

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Contact Name
Defri Ahmad

Contact Email
defri_math@fmipa.unp.ac.id

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+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