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Journal : International Journal of Basic and Applied Science

Stationary and non-stationary method for solving system of linear equation Ferdinan Rinaldo Tampubolon; Sinta Marito Siagian; Samaria Chrisna; Rischa Devita; Indah Nurhidayati
International Journal of Basic and Applied Science Vol. 12 No. 1 (2023): June: Basic and Applied Science
Publisher : Institute of Computer Science (IOCS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35335/ijobas.v12i1.173

Abstract

System of Linear Equation  where  is a non-singular and square matrix .  Method for solving System of Linear Equation consist of direct method and indirect method. Further indirect methods were divided into two, that is stationary and non-stationary. This research will conduct a comparative study of several indirect methods and direct methods in solving several cases of Linear equation systems. Some methods that will be compared in this research are jacobi, gauss-seidel, SOR, conjugate and biconjugate gradient. Testing several methods for some kind of matrix is useful to understand the characteristics of each method in solving different types of matrices. The result show that non-stationary such as conjugate and biconjugate has a less computation and faster to convergence compared to stationary method for several symmetric and non-symmetric matrices
Parallel Batch Processor Machine Scheduling Using Multi-Population SPEA-II Algorithm Tampubolon, Ferdinan Rinaldo; Siagian, Sinta Marito; Samaria Chrisna HS; Rischa Devita; Sitinjak , Anna Angela
International Journal of Basic and Applied Science Vol. 14 No. 1 (2025): Computer Science, Engineering, Basic and Applied mathematics Science
Publisher : Institute of Computer Science (IOCS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35335/ijobas.v14i1.653

Abstract

The increasing competition in the industrial sector requires companies to provide more optimal services, particularly in terms of production speed by increasing machine utilization. This can be achieved by implementing parallel batch scheduling. In conventional scheduling, a machine is only able to handle one job at a time, whereas in parallel batch scheduling, a machine can process a group of jobs simultaneously based on its capacity. Flexible Job Shop with parallel batch processor has been studied by several researchers, but the objective function has generally been limited to minimizing makespan. This research aims to minimize multi objective function that are energy consumption and makespan by using the Modified Strength Pareto Evolutionary Algorithm-II (SPEA2). Modifications of the algorithm are conducted by applying multi-population that run in parallel so that the optimization process can avoid local optima. The results of the research show that Multi-Population SPEA2 provides more optimal results compared to classical SPEA2 and benchmarks from previous research.