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Journal : Journal of Mathematics UNP

Menentukan Luas Daerah Segitiga Spheris Mulyadi Mulyadi; Mirna Mirna; Riry Sriningsih
Journal of Mathematics UNP Vol 6, No 1 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (636.645 KB) | DOI: 10.24036/unpjomath.v6i1.11559

Abstract

Abstract - Spherical Triangle is a triangle on surface of ball that formed by circles which cutting the ball. The circle that forms a Spherical Triangle are circles which cutting the ball in center. Area of Spherical Triangle is different from Euclid Triangle. This study look at how to find the Area of Spherical Triangle. The result obtained in this study is how to find the area of Spherical Triangle that must knows about dihedral angle or trihedral angle that forms spherical triangle.Keywords - spherical triangle, dihedral angle, trihedral angle.
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (142.326 KB) | DOI: 10.24036/unpjomath.v6i2.11569

Abstract

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 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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (298.235 KB) | DOI: 10.24036/unpjomath.v4i1.6282

Abstract

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
Model Penentuan Hari Dari Sebuah Tanggal Randy Rahayu Melta; Media Rosha; Riry Sriningsih
Journal of Mathematics UNP Vol 3, No 2 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1043.864 KB) | DOI: 10.24036/unpjomath.v3i2.4681

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Abstract –This article discusses the pricing models of a date. This discussion began by making Sunday of date January 1, 1758M as a reference for determine desired day. This is due before 1758M the time was corrected that cause in a year have an irregular pattern. An models analysis using modulo 7, that can implemented to Turbo Pascal algorithm by entering the date, month and year which are desired so that obtained the desired day.
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1048.637 KB) | DOI: 10.24036/unpjomath.v3i1.4670

Abstract

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.
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

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (431.01 KB) | DOI: 10.24036/unpjomath.v6i2.11558

Abstract

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.
Optimasi Pendistribusian Air PDAM Payakumbuh dengan VAM dan Pengujian Optimalitasnya Menggunakan Metode MODI Annisya Annisya; Hendra Syarifuddin; Riry Sriningsih
Journal of Mathematics UNP Vol 6, No 1 (2021): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (794.275 KB) | DOI: 10.24036/unpjomath.v6i1.11544

Abstract

Abstract – Optimization model is one of the analysis models which identictooperations research. Transportation model relatesto the determination of the least cost plan to send an item from a number of source to a number of destination areas, like VAM. VAM principle ischooseleastof the least cost of eachrowandcolumnand thencalculate the differencebetweenit. Thedifferenceis called Vogel number. VAMmethodswillprovidesan initial solution to findthe nearest  optimalsolution. Thereforeitis necessary to do a testthe optimalityoftheinitial solutionusingMODI. MODI method is to resolve the  case of the transportation that was developed from the stepping stone method. The purpose of this  research is determining the optimal water distribution with minimum distribution cost. The result ofthis indicate that the operating costs is Rp. 6,344,697.13 before it was done minimization and the operational costsis Rp. 5,284,908.08 after it was done minimization by VAM. Keywords – vogel approximation, modified distribution, optimization, water distribution.
Optimasi Hasil Produksi Tahu dan Tempe dengan Metode Branch and Bound dan Metode Cutting Plane Raudhatul Jannah A.M; Arnellis Arnellis; Riry Sriningsih
Journal of Mathematics UNP Vol 3, No 1 (2018): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1216.469 KB) | DOI: 10.24036/unpjomath.v3i1.4665

Abstract

Abstract –The optimal profit isthe main goal in every business.The purpose of this study is to determine how the problem of optimization of  production output to be solved and to know the result of optimal production from Tofu Yanto Factory based on the availability of materials, capital of production, times and worker. Factory need to plan a strategy so that all available resources can be used appropriately to obtain optimal production results. A linear programming is a decision making technique for solving the problem of limited resource allocation to achieve an optimum goal. Some ways that can be done to complete the integer programming is by using the branch and bound method and the cutting plane method. Both of these methods are methods for solving integer linear programming problems that will result in integer decision variables. Based on the result of the research, it is found that the branch and bound method is more effectively than the cutting plane method for the optimization of tofu and tempe products at Tofu Yanto Factory.
PENGGUNAAN METODE MONTE CARLO DAN EXPECTED MONETARY VALUE DALAM PREDIKSI PENJUALAN PRODUK putra, farhan maulana; Sriningsih, Riry
Journal of Mathematics UNP Vol 9, No 4 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i4.17075

Abstract

Trade is a sector that significantly contributes to national economic growth, but the lack of understanding of marketing strategies has led many traders to incur losses. The rapid development of information and communication technology requires increasingly modern human activities. Various complex problems can be modeled and simulated first before being implemented, resulting in optimal outcomes. One of the strategies for preparing stock is to avoid stock shortages and surpluses. The Monte Carlo method and Expected Monetary Value are two methods used for making predictions. The forecasted sales figures for the Legenda gepeng product for the years 2024-2025 are 739,914 packs, Legenda Premium 54,201 packs, and Legenda Pia 137,750 packs. The lowest MAPE for each product is 17.59%, 33.24%, and 25.17% respectively.