Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers-Reference-Cited by-同舟云学术

Minimizing the Machine Processing Time in a Flow Shop Scheduling Problem under Piecewise Quadratic Fuzzy Numbers

Published:2022-08-31 Issue: Volume:2022 Page:1-7
ISSN:1607-887X
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhou Tingwei¹^ORCID,El-Wahed Khalifa Hamiden Abd²³^ORCID,Najafi Seyyed Esmaeil⁴^ORCID,Edalatpanah S.A.⁵^ORCID

Affiliation:

1. School of Mathematics and Physics, Bengbu University, Bengbu 233000, China

2. Department of Operations Research, Faculty of Graduate Studies for Statistical Research, Cairo University, Giza 12613, Egypt

3. Department of Mathematics, College of Science and Arts, Qassim University, Al- Badaya 51951, Saudi Arabia

4. Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran 46818-53617, Iran

5. Department of Applied Mathematics, Ayandegan Institute of Higher Education, Tonekabon, Iran

Abstract

The piecewise quadratic fuzzy number (PQFN) can signify uncertain information that exists in scientific, technological, and engineering fields. Hence, it is a useful tool for describing information in scheduling problems. This study examines structured n-job flow shop scheduling with fuzzy piecewise quadratic processing times and three machines. Close interval approximation of PQFNs is also offered as one of the most effective approximate intervals. Furthermore, the leasing cost of equipment is minimized with the use of a fuzzy style and an inventive algorithm. To demonstrate how the proposed framework can be used, a numerical illustration is provided.

Funder

Qassim University

Publisher

Hindawi Limited

Subject

Modeling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2022/3990534.pdf

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