Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates

This paper deals with constrained multistage machines flow-shop (FS) scheduling model in which processing times, job weights, and break-down machine time are characterized by fuzzy numbers that are piecewise as well as quadratic in nature. Avoiding to convert the model into its crisp, the closed int...

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Main Authors: Hamiden Abd El-Wahed Khalifa, Sultan S. Alodhaibi, Pavan Kumar
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Advances in Fuzzy Systems
Online Access:http://dx.doi.org/10.1155/2021/6697060
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author Hamiden Abd El-Wahed Khalifa
Sultan S. Alodhaibi
Pavan Kumar
author_facet Hamiden Abd El-Wahed Khalifa
Sultan S. Alodhaibi
Pavan Kumar
author_sort Hamiden Abd El-Wahed Khalifa
collection DOAJ
description This paper deals with constrained multistage machines flow-shop (FS) scheduling model in which processing times, job weights, and break-down machine time are characterized by fuzzy numbers that are piecewise as well as quadratic in nature. Avoiding to convert the model into its crisp, the closed interval approximation for the piecewise quadratic fuzzy numbers is incorporated. The suggested method leads a noncrossing optimal sequence to the considered problem and minimizes the total elapsed time under fuzziness. The proposed approach helps the decision maker to search for applicable solution related to real-world problems and minimizes the total fuzzy elapsed time. A numerical example is provided for the illustration of the suggested methodology.
format Article
id doaj-art-e2f5dde6be674a0d9769b5a20a5cb019
institution Kabale University
issn 1687-7101
1687-711X
language English
publishDate 2021-01-01
publisher Wiley
record_format Article
series Advances in Fuzzy Systems
spelling doaj-art-e2f5dde6be674a0d9769b5a20a5cb0192025-02-03T06:43:28ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2021-01-01202110.1155/2021/66970606697060Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due DatesHamiden Abd El-Wahed Khalifa0Sultan S. Alodhaibi1Pavan Kumar2Operations Research Department, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, EgyptMathematics Department, College of Science and Arts, AL-Rass, Qassim University, Buraydah, Saudi ArabiaMathematics Division, School of Advanced Science and Languages, VIT Bhopal University, Sehore-466114, MP, IndiaThis paper deals with constrained multistage machines flow-shop (FS) scheduling model in which processing times, job weights, and break-down machine time are characterized by fuzzy numbers that are piecewise as well as quadratic in nature. Avoiding to convert the model into its crisp, the closed interval approximation for the piecewise quadratic fuzzy numbers is incorporated. The suggested method leads a noncrossing optimal sequence to the considered problem and minimizes the total elapsed time under fuzziness. The proposed approach helps the decision maker to search for applicable solution related to real-world problems and minimizes the total fuzzy elapsed time. A numerical example is provided for the illustration of the suggested methodology.http://dx.doi.org/10.1155/2021/6697060
spellingShingle Hamiden Abd El-Wahed Khalifa
Sultan S. Alodhaibi
Pavan Kumar
Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates
Advances in Fuzzy Systems
title Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates
title_full Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates
title_fullStr Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates
title_full_unstemmed Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates
title_short Solving Constrained Flow-Shop Scheduling Problem through Multistage Fuzzy Binding Approach with Fuzzy Due Dates
title_sort solving constrained flow shop scheduling problem through multistage fuzzy binding approach with fuzzy due dates
url http://dx.doi.org/10.1155/2021/6697060
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AT sultansalodhaibi solvingconstrainedflowshopschedulingproblemthroughmultistagefuzzybindingapproachwithfuzzyduedates
AT pavankumar solvingconstrainedflowshopschedulingproblemthroughmultistagefuzzybindingapproachwithfuzzyduedates