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.
Articles
404 Documents
Perbandingan Algoritma Pewarnaan LDO, SDO, dan IDO pada Graf Sederhana
Khairani Permata Sari;
Armiati Armiati;
Mirna Mirna
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v2i1.1957
Abstract – Vertex colouring is coloring graph vertex such that two neighbor vertexs have different colors. The main purpose of colouring is to get minimum number of colors which is called chromatic number. In the application of graph coloring, which is the minimum number of colors means minimizing the amount of resources such as space and time in solving a problem. To perform the necessary vertex a coloring tool is an algorithm that will govern how the coloring process on a graph. The sequence of the color on a vertex can affect many colors needed to color all vertexs of the graph. There are three algorithms that can be used to perform the coloring vertex by vertex for the election to be colored, the algorithm LDO, SDO, and IDO. After testing in a few simple graphs, it is concluded that none amongst algorithm LDO, SDO, and IDO which always produces the minimum number of colors. Keywords – Vertex colouring, Chromatic number, LDO algorithm, SDO algorithm, IDO algorithm
Model Matematika Pengaruh Lingkungan Terhadap Penyebaran Homoseksual
Afdhal Ahkrizal;
Media Rosha
Journal of Mathematics UNP Vol 4, No 3 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v4i3.7180
Abstract— Homosexuals are the behaviors of sexual deviations that have occurred in many countries. This homosexual behavior occurs a lot due to negative environmental influences. In Indonesia, homosexual behavior has been caused due to poor social environment such as being too close to same-sex friends, often experiencing a breakup with friends opposite sex, etc. The purpose of the study was to find out the mathematical modelling form of environmental influences on homosexual deployments. This research is a basic study using theoretical methods that analyza theories relating to the influence of the environmental on the spread of homosexual. Based on the results of the reseach of mathematical models of environmental influences on the spread of homosexuals in the form of ordinary differential equation system and stability of the system on this model is asymtotic stable indicating in case of fixed point free from the influence of homsexual behavior. Keywords—Mathematical Model, Homosexual, Environmental Influences.
Model Host-Vector Penyebaran Virus Zika
Nadia Wulandari;
Muhammad Subhan
Journal of Mathematics UNP Vol 5, No 4 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v5i4.11100
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.
Optimasi Rute Pengiriman Produk dengan Meminimumkan Biaya Transportasi Menggunakan Metode Saving Matrix di PT. DEF
Fatimah Juma Sesa;
Hendra Syarifudin;
Yusmet Rizal
Journal of Mathematics UNP Vol 4, No 1 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v4i1.6291
Abstract – The route of transportation is a solutions in minimizing the costs of distribution. Saving Matrix method is a method in Vehicle Routing Problem (VRP) that used to get efficient routes. The use of this method is by combining the points goals that have the greatest distance saving and paying attention to the volume of requests of each objective. Then performing visits in order by vehicle so that efficient delivery route obtained. In this paper, it is discussed the application of Saving Matrix method in determination routes of delivery product at company DEF. In the end of the work, it was found that this method gives less route than initial route of six routes into five routes. In Month, gotten savings distance 105 km or about 14%, savings fuel 21 liters or about 14% so the use of the vehicle is reduced meaning a magnitude can minimizing cost.Keywords – Transportation, Route, Saving Matrix, VRP (Vehicle Routing Problem)
Optimasi Penjadwalan Produksi Sanjai Rina Menggunakan Algoritma Campbell Dudek Smith
annisa yovinda;
Defri Ahmad
Journal of Mathematics UNP Vol 7, No 1 (2022): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v7i1.10902
Abstract — Kerupuk sanjai Rina business always run into lateness in product delivery because they haven’t done production which will be deliver and delivery deadline only based on intuition. Sanjai Rina have need to establist a better production schedule so that be able to minimizing all product work time total. There are many ways to minimizing total of work time, one of them is using Campbell Dudek Smith (CDS) algorithm. The purpose of the research to know best outcome sanjai Rina production prosess scheduling using CDS algorithm. CDS algorithm obtain k iteration with different values. From k iteration, minimal value will be use to determine production thread. Sanjai Rina business have total time work all of product is 435,88 hours by sequence 1-2-3-4-5-6-7-8. From CDS algorithm iterations, obtain minimal scheduling by sequence 4-8-3-1-2-6-7-5 with total work time all of yhe product is 375,26 hours that will attain saving 60,22 hours time work.
Bootstrap Aggregating Multivariate Adaptive Regression Splines (Bagging MARS) dan Penerapannya pada Pemodelan Produk Domestik Regional Bruto (PDRB) di Provinsi Sumatera Barat
Tika Mijayanti;
Helma Helma
Journal of Mathematics UNP Vol 6, No 4 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v6i4.12233
Increased economic growth can help a region's economy grow and demonstrate that the government is capable of improving the welfare of its citizens. The rate of economic growth may be measured by gross regional domestic product (GRDP). This look at turned into performedto decide the factors that maximum effect GDRBinside the province of West Sumatera from 2015 to 2019 using Bootstrap Aggregating Multivariate Adaptive Regression Splines (Bagging MARS). The best model with the lowest GCV value is 7,36868 with BF=8, MI=3 and MO=0 as a combination. Then Bagging was carried out on the initial dataset with 50 Bootstrap replications to obtain the smallest GCV of 5,256292. Based on this, the smallest GCV value obtained from Bagging MARS is smaller than the MARS method. Meaning that the Bagging method can lessen the GCV value and increase accuracy. So that the factors that maximum influence GRDP in the province of West Sumatera are Regional Original Income.
Optimasi Biaya Distribusi Beras Sejahtera Menggunakan Metode Zero Suffix dan Metode ASM
Wida Karnila;
Hendra Syarifudin;
Meira Parma Dewi
Journal of Mathematics UNP Vol 4, No 4 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v4i4.7930
Abstract – The research was distributed by the high cost of the prosperous rice distribution on perum bulog Bukittinggi Rp 219.986.865,-. Distribution is done from five warehouses to every subdistrict on the region it works. Perum bulog Bukittinggi striving for minimising the cost of every prosperous rice distribution warehouse to the districts. For minimising the cost of the prosperous rice distribution on perum bulog Bukittinggi used method zero suffix and the ASM method is a method of optimization of transportation problems and directly testing the keoptimuman transportation problem from the table without having to specify the initial solution first. The results of the calculation of the cost of distribution is performed by perum bulog Bukittinggi is Rp 219,986,865,-.Zero suffix using the method and the method of the ASM is Rp. 219,736,775.0-, so both of these methods can optimize the distribution cost issues bulog perum on without having to specify the initial solution.Keywords – zero suffix method, method of the ASM
Pencarian Clique Maksimal dan Bilangan Clique pada Graf Sederhana Menggunakan Modifikasi Algoritma Clique
Shintia Pratiwi;
Armiati Armiati;
Dewi Murni
Journal of Mathematics UNP Vol 3, No 2 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v3i2.4682
Abstract – Finding maximal clique is a problem to get a clique with the maximum number of points on a graph, where the selected points are the points that are connected to each other. Finding maximal clique in a graph would be easier if using an algorithm. One of algorithms that can be used to determine the maximal clique is clique algorithm. However, the clique algorithm still has a weakness that the process is a relatively long process because it has two procedures. Therefore, in this study a modification to this algorithm. An algorithm not only must be correct, but also must be efficient. The efficiency of an algorithm is measured from the execution time of the algorithm and the space of memory that is required to run it. After modification is done to clique algoritma, the time of complexity asymptotic algorithm gained is .
Model Matematika Penyebaran Penyakit Herpes Genital dengan Vaksinasi
Aziza Masli;
Media Rosha
Journal of Mathematics UNP Vol 5, No 3 (2020): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v5i3.10588
Abstract — Genital herpes is an infectious disease that can be transmitted and caused by Herpes Simplex Virus type 2 (HSV-2). According to WHO, genital herpes caused by HSV-2 is a global issue and it is estimated that 491 million people in the world are living with HSV-2 infection in 2016. Health observers are looking for solutions to the spread of genital herpes by developing prophylactic protection vaccines. In this research, a mathematical model of the spread of genital herpes with vaccination will be sought. The purpose of this study is to learn how to use vaccination against the spread of genital herpes. This study is a basic study using descriptive method. This method is done by analyzing theories relating to the problem. The study began by determining the variables, parameters, and assumptions that related to the spread of genital herpes with vaccination. The results of the analysis show that high rates of disease transmission can lead to diseas outbreak. In addition, increasing the precentage of successful vaccines can reduce the spread of genital herpes so that outbreaks not occur. Keywords — mathematics model, genital herpes, vaccination.
Model Matematika Terapi Hormon pada Kanker Payudara Menggunakan Jaringan Kanker Linear
rizqa hariq hazana;
muhammad subhan
Journal of Mathematics UNP Vol 4, No 3 (2019): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG
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DOI: 10.24036/unpjomath.v4i3.7189
Abstract—Cancer is a disease in which abnormal growth of cells occurs. Breast cancer is a cancer that starts in the breast vessels which is usually known as epithelias cells. The goal of this study is to form a mathematical model that can illustrate how hormone therapy prevents estrogen receptors in breast epithelial cells to help cancer cells divide. Model is a differential equation system which has four equations and five fixed points. From the results of the analysis it was found that the fixed point P1 is always unstable, while the fixed points P2 to P5 are stable depending on certain conditions.Keywords—Mathematical Models, Breast Cancer, Hormone Therapy, Linear Cancer Network.