Exact Solution to Solve Multi-Objective Functions In Fuzzy Flow Shop Scheduling Problem

Published2026-11-05IssueVol. 3 No. 1 (2026): Global Journal of Mathematics and StatisticsPages32-38SectionArticles
DOI 10.61424/gjms.v3i1.1137
01

Abstract

This paper deals with branch-and-bound algorithms to solve the flow shop scheduling problem to obtain a minimized multi-objective function under a fuzzy environment. Where the processing time is a triangular fuzzy number, the objective of this paper is to obtain an optimal sequence to fuzzy-minimize total weighted tardiness time, so we used three upper bounds and two lower bounds in a branch-and-bound algorithm on two machines. And also compared the branch-and-bound and complete enumeration methods, and compared results with the complete enumeration method in terms of processing time in a MATLAB program and the number of nodes.

02

Keywords

  • Fuzzy environment
  • enumeration methods
  • MATLAB program
03

How to Cite

Mustafa Talal Kadhim. (2026). Exact Solution to Solve Multi-Objective Functions In Fuzzy Flow Shop Scheduling Problem. Global Journal of Mathematics and Statistics, Vol. 3 No. 1 (2026): Global Journal of Mathematics and Statistics, 32-38. https://doi.org/10.61424/gjms.v3i1.1137