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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.
Model Susceptible-Infected-Recovered (SIR) Dampak Penerapan PSBB Terhadap Kasus Covid-19 Di Pekanbaru Soleh, Mohammad Soleh; Melvy Utari Permadhi; Wartono; Irma Suryani; Elfira Safitri; Riry Sriningsih
Jurnal Derivat: Jurnal Matematika dan Pendidikan Matematika Vol. 11 No. 1 (2024): Jurnal Derivat (April 2024)
Publisher : Pendidikan Matematika Universitas PGRI Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31316/jderivat.v11i1.4698

Abstract

Covid-19 has become a global pandemic in the 21st century. Various efforts to control its spread have been made. Isolation or regional quarantine is one of the efforts made by almost all countries in the world. Indonesia modified the lockdown by implementing 'Large-Scale Social Restrictions (PSBB)'. Before and during the implementation of PSBB, there have been many pros and cons in the community. By using the SIR model and Euler method, the impact before and after the implementation of PSBB in Pekanbaru city is compared. Based on daily data of Covid-19 cases in Pekanbaru city, it is obtained that the value of the basic reproduction number before and after the implementation of PSBB are  and  respectivel.  This condition confirms that either without or by implementing PSBB, Pekanbaru city will be free from Covid-19. Simulation of Covid-19 cases before and after PSBB graphically also shows a situation that will be free from disease. However, without implementing PSBB, the number of infected will jump drastically after some time even though it will eventually decrease, while by implementing PSBB there is no spike. Thus, the implementation of PSBB can be an alternative to control Covid-19. Keywords: Basic reproduction number, Covid-19, PSBB, SIR model, Euler methods.
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.
CLUSTERING OF STATE UNIVERSITIES IN INDONESIA BASED ON PRODUCTIVITY OF SCIENTIFIC PUBLICATIONS USING K-MEANS AND K-MEDOIDS Ermawati, Ermawati; Sriliana, Idhia; Sriningsih, Riry
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 17 No 3 (2023): BAREKENG: Journal of Mathematics and Its Applications
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol17iss3pp1617-1630

Abstract

Scientific publication is a measure of the performance of a university. Universities that are owned and operated by the government and whose establishment is carried out by the President of Republic Indonesia are state universities (PTN). One of the efforts that can be made to determine the quantity and quality of state university scientific publications is to conduct PTN clustering based on the productivity of scientific publications. This clustering aims to see the position of state universities in Indonesia into 3 categories, namely “high”, “medium”, and “low”. One of the clustering methods that can be used is cluster analysis. The cluster analysis used in this study is k-means and k-medoids with Silhoutte's validity. Based on the results of the analysis, it was found that the Silhouette k-means value (0.8018) was higher than the Silhouette k-medoids value (0.7281). Therefore, in this case, it can be concluded that the k-means method is better than the k-medoids. The results of cluster analysis using K-Means are 1) PTN with high productivity of scientific publications, namely ITB, ITS, UGM, and UI. The four PTNs are PTN as Legal Entity (PTN-BH) located in Java, 2) PTN with medium scientific publication productivity consists of 16 PTN which were dominated by PTN-BH and PTN as Public Service Board (PTN-BLU) with the largest location in Java, and 3) PTN with low scientific publication productivity consisted of 102 PTN which were dominated by PTN as general state financial management (PTN-Satker) with most locations outside Java.
STABILITY ANALYSIS OF THE SIQR MODEL OF DIPHTHERIA DISEASE SPREAD AND MIGRATION IMPACT Soleh, Mohammad; Nazvira, Mutia; Wartono, Wartono; Safitri, Elfira; Sriningsih, Riry
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 1 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss1pp173-184

Abstract

Diphtheria is an acute disease that affects the upper respiratory tract caused by Corynebacterium diphtheriae, which can also affect the skin, eyes, and other organs. This article analyzes the stability of the SIQR model of diphtheria disease spread in Mandau District by considering the migration factor. The SIQR model is a development of the SIR model by incorporating the quarantine process as an alternative to reduce morbidity. The purpose of this study is to see the effect of migration on the spread of diphtheria disease in Mandau District through mathematical model simulation. We calculated the disease-free and endemic equilibrium points and the basic reproduction number ( ) of the model. Model parameters were obtained using data from BPS Bengkalis Regency and UPTD Puskesmas Mandau. The calculation resulted in one disease-free equilibrium point and one endemic equilibrium point. If < 1, then the disease-free equilibrium point is asymptotically stable, and if > 1, then the endemic equilibrium point is also asymptotically stable. Based on the results of the data analysis, the value of. This value is less than 1, so the equilibrium point obtained is a disease-free and asymptotically stable equilibrium point. This means that the population will be free from diphtheria and the level of migration affects the presence of diphtheria disease in Mandau District.