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Journal : Journal of Mathematics UNP

Penyelesaian Sistem Persamaan Linear pada Aljabar Max-Plus Cindi Meidisia; Yusmet Rizal; Helma Helma
Journal of Mathematics UNP Vol 2, No 1 (2014): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (171.224 KB) | DOI: 10.24036/unpjomath.v2i1.1953

Abstract

 
Optimasi Penjadwalan Perawat IGD RSUD Arosuka dengan Metode 0-1 Fuzzy Goal Programming Intan Ayu Ramadhani; Yusmet Rizal
Journal of Mathematics UNP Vol 8, No 2 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i2.14441

Abstract

Nurse scheduling problem is an important aspect in maintaining the quality of hospital services. The fact that the number of patients is greater than the limited number of nurses and there are rules from the hospital that must be complied with makes the nurse scheduling problem more complex. The purpose of this study was to the shape of the model and the results of optimizing the scheduling of emergency room nurses at Arosuka Hospital using the method 0-1 Fuzzy Goal Programming. Model 0-1 Fuzzy Goal Programming is the result of the application of set theory Fuzzy on Goal Programming that uses a decision variable of 0 or 1. By completing the scheduling model with help  LINGO 20.0 software, the results show that with the methodl 0-1 Fuzzy Goal Programming has fulfilled all existing constraints, and can maximize all objectives. In the manual schedule there are sixty one activities which not corresponding with the policy, while with the 0-1 Fuzzy Goal Programming model it has been minimized so that there are only thirty three activities which not corresponding with the policy.
Matriks Toeplitz dan Determinannya Menggunakan Metode Salihu Miftahul Jannah; Yusmet Rizal
Journal of Mathematics UNP Vol 8, No 2 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i2.14240

Abstract

The matrix is a rectangular array of numbers. In this range the numbers are called the entries of the matrix. In matrix calculations generally focus on square-shaped matrices. There is a matrix called the Toeplitz matrix. The Toeplitz matrix has the same operations and calculations as a square matrix in general, one method for calculating the determinant is the Sarrus method. There is an alternative method to solve the determinant of the matrix, namely the Salihu determinant. The purpose of this research is to know the determinant properties related to the Toeplitz matrix and to know the determinant of the n×n Toeplitz matrix with n≥3 using the Salihu method. The result of this study is that the completion of the Toeplitz matrix determinant calculation will produce the same value as the determinant calculation using the cofactor expansion method.
Perhitungan Invers Kinematik pada Jalan Robot Humanoid Rahmawati, Annisa; Rizal, Yusmet
Journal of Mathematics UNP Vol 9, No 2 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i2.15816

Abstract

Inverse kinematics is a mathematical calculation for robot motion design. With the known value of the desired coordinate point, this calculation determines the angles needed to move each joint on the robot. One of the solutions to the inverse kinematic equation can use the geometric approach method. This method is used to obtain angles on each axis of robot motion so that the end-effector can reach the desired position. In this geometric method approach, the three-dimensional (3D) viewpoint is decomposed into a two-dimensional (2D) viewpoint to facilitate the analysis and calculation process. Humanoid robots have 4 phases to walk, namely Double Support Phase, Pre-swing Phase, Single Support Phase, and Post-Swing Phase. By implementing the inverse kinematic formula into the C++ programming language, the humanoid robot can walk by entering the x, y, and z coordinate values. The x coordinate value regulates the tilt of the robot, the y coordinate value regulates the back and forth movement of the robot's legs, and the z coordinate value regulates the height of the robot's legs.
Penerapan Metode Simple Hill Climbing dalam Menentukan Rute Terpendek Distribusi Usaha Bolu Dedek Putri, Mutiara Ayu; Rizal, Yusmet
Journal of Mathematics UNP Vol 8, No 3 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i3.14947

Abstract

Traveling Salesman Problem (TSP) is a problem related to a seller who are required to visit a number of different cities once only, and return to his hometown. This research aims to determine the shortest route in the distribution of Dedek's Bolu Enterprises using the Simple Hill Climbing method. The benefits of this method are to solve the problem of finding the shortest route starting from improving the initial solution by evaluating the current solution and considering neighboring solutions that have better objective function values. If present, the current solution is upgraded by selecting that neighbor solution. This steps are repeated until there is no neighbor solution that has a better objective function value, indicates that the local optimum value that has been achieved. Based on the results of the research, the latest route was obtained with a distance of 57.2 km on the combined route, namely O-A-B-C-D-F-E-G-I-J-H-O or 4.5 km shorter than the distribution route normally used by business owners.
Faktor-Faktor Yang Mempengaruhi Kepuasan Mahasiswa Matematika Fmipa Unp Saat Belanja Online Dengan Menggunakan Analisis Faktor Yunita, Hazarin Morela; Rizal, Yusmet
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.14917

Abstract

Customer satisfaction is the result of a comparison between expectations and reality that customers receive after consuming goods or services. One of the factors that influence online purchase satisfaction behavior based on satisfaction factors are product quality factors, price factors, service quality factors, emotional factors, and convenience factors. The purpose of this study is to find out about the factor analysis model and what factors influence the satisfaction of UNP Mathematics students when shopping online. The data used is primary data obtained from giving questionnaires to UNP Mathematics Student respondents and factor analysis is used to analyze the data. From the results of the study it was concluded that the factors formed were the first factor containing the variables of product quality, service quality, and emotional factors. The second factor contains price and convenience variables.
Fungsi Phi Euler Pada Grup Gaussian Integer Manik, Febry Regina; Rizal, Yusmet
Journal of Mathematics UNP Vol 8, No 4 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i4.14243

Abstract

Determining The Determinant Value Of The Matrix m x n Using Java Rahmatullah, Saffa; Rizal, Yusmet
Journal of Mathematics UNP Vol 9, No 1 (2024): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v9i1.15326

Abstract

One of the important topics in algebraic mathematics is determining the determinant value of a matrix. In this case, the determinant of an m x n matrix or rectangular matrix is also called the Radic determinant. The calculation of the determinant of a rectangular matrix requires lengthy analysis and calculations if searched manually it will take a long time. The purpose of this research is to obtain a determinant algorithm of m x n matrix which is then implemented into a program and will be executed with Java programming language. This research is basic that uses literature review as its foundation and uses theoretical analysis related to the problem of programming algorithms and determining the determinant value of the m x n matrix using the Java language. The result of this research is a Java program to determine the determinant value of m x n matrix with conditions m is less than or equal to n.
Peramalan Hasil Produksi Padi di Kabupaten Solok menggunakan Metode Triple Exponential Smothing Tipe Brown Kardinal, Ridho; Rizal, Yusmet
Journal of Mathematics UNP Vol 8, No 3 (2023): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v8i3.14331

Abstract

Rice is the main food crop which consumes almost the entire population in Solok Regency. The rise and fall of rice production in Solok Regency is caused by the increasingly limited area of rice fields which results in changing the function of paddy fields into settlements or housing. The purpose of this research is to find out the brown type triple exponential smoothing model and to predict rice production in Solok Regency in 2004-2021. Estimates of rice production for the next 5 years show a decline. The forecasting model is:. The result of forecasting rice production for 2004-2021 in tons are 314119,49, 289788,96, 261426,70, 229032,73 and 192607,04.
PENYELESAIAN PERSAMAAN NON LINEAR MENGGUNAKAN METODE ITERASI TIGA LANGKAH Huang, Nafisha Hurinia; Rizal, Yusmet
Journal of Mathematics UNP Vol 10, No 1 (2025): Journal Of Mathematics UNP
Publisher : UNIVERSITAS NEGERI PADANG

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24036/unpjomath.v10i1.17052

Abstract

The Three-Step Iterative Method is a multistep approach designed to determine the roots of complex non-linear equations. Developed using Taylor Series, Quadratic Equations, and Hermite Interpolation, this method provides an alternative for solving complicated equations numerically and analytically. This study aims to examine the formulation of the method, design an algorithm in a flowchart, and analyze its convergence order. The research adopts a literature review methodology by conducting an in-depth analysis of relevant references. The algorithm's implementation is tested through computer programming to evaluate its numerical effectiveness. The results demonstrate that the method achieves high-order convergence, enabling faster solutions with minimal error. In conclusion, the Three-Step Iterative Method is an efficient and accurate solution for resolving complex non-linear equations.