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A Fuzzy Approach for Minimizing Machine Rental Cost for a Specially-Structured Three-Stages Flow-Shop Scheduling Problem in a Fuzzy Environment
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Author(s): Hamiden Abd El-Wahed Khalifa (Faculty of Graduate Studies for Statistical Research, Cairo University, Giza, Egypt), Florentin Smarandache (University of New Mexico, Gallup, USA), Sultan Saleh Alodhaibi (Qassim University, Saudi Arabia)and Hamiden Abd El-Wahed Khalifa (Qassim University, Saudi Arabia)
Copyright: 2022
Pages: 15
Source title:
Handbook of Research on Advances and Applications of Fuzzy Sets and Logic
Source Author(s)/Editor(s): Said Broumi (Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco & Regional Center for the Professions of Education and Training (CRMEF), Casablanca-Settat, Morocco)
DOI: 10.4018/978-1-7998-7979-4.ch005
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Abstract
Scheduling problem is a problem concerned with searching for an optimal or near optimal schedule subject to a number of constraints. Neuromas approaches have been investigated to solve the problem of scheduling with an aim to determine the sequence of processing jobs on a given set of machines. Its importance and relevance to industry has been promoted. Scheduling requires a variety of activities to accomplish a particular purpose within time and budget. Flow shop is the most classical study manufacturing environment in scheduling literature. This chapter deals with a special structured n-job of three machine flow shop scheduling with piecewise quadratic fuzzy processing times. One of the best approximate intervals, namely close interval approximation of PQFNs, is introduced. A fuzzy approach with the help of a heuristic algorithm is developed for minimizing the rental cost of machines under the specified rental cost. A numerical example is given to demonstrate the computational efficiency of the proposed algorithm.
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