On a Flow-Shop Scheduling Problem with Fuzzy Pentagonal Processing Time
Author(s) -
Majed Alharbi,
Hamiden Abd El-Wahed Khalifa
Publication year - 2021
Publication title -
journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.252
H-Index - 13
eISSN - 2314-4785
pISSN - 2314-4629
DOI - 10.1155/2021/6695174
Subject(s) - flow shop scheduling , fuzzy number , mathematics , fuzzy logic , scheduling (production processes) , mathematical optimization , renting , job shop scheduling , fuzzy set , computer science , schedule , artificial intelligence , engineering , operating system , civil engineering
Scheduling involves planning and arranging jobs across a coordinated set of events to satisfy the customer’s demands. In this article, we present a simple approach for the flow-shop (FS) scheduling problem under fuzzy environment in which processing time of jobs are represented by pentagonal fuzzy numbers. This study is intended to reduce the rental cost of the machine in compliance with the rental policy. The fuzzy FS scheduling problem is solved without converting the processing time into its equivalent crisp numbers using a robust ranking technique and a fuzzy arithmetic pentagonal fuzzy numbers. A numerical illustration indicates that the approach is workable, accurate, and relevant.
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