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Title

An effective new heuristic algorithm for solving permutation flow shop scheduling problem

فصلنامه معادلات در ترکیبات، دوره: 11، شماره: 1
Year: 1401
COI: JR_COMB-11-1_002
Language: EnglishView: 50
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Authors

Shahriar Farahmand rad - Department of Mathematics, Payame Noor University of ABCD, P.O.Box ۱۹۳۹۵-۳۶۹۷, Tehran, Iran

Abstract:

The deterministic permutation flow shop scheduling problem with makespan criterion is not solvable in polynomial time‎. ‎Therefore‎, ‎researchers have thought about heuristic algorithms‎. ‎There are many heuristic algorithms for solving it that is a very important combinatorial optimization problem‎. ‎In this paper‎, ‎a new algorithm is proposed for solving the mentioned problem‎. ‎The presented algorithm chooses the weighted path that starts from the up-left corner and reaches the down-right in the matrix of jobs processing times and calculates the biggest sum of the times in the footprints of this path‎. ‎The row with the biggest sum permutes among all the rows of the matrix for locating the minimum of makespan‎. ‎This method was run on Taillard’s standard benchmark and the solutions were compared with the optimum or the best ones as well as ۱۴ famous heuristics‎. ‎The validity and effectiveness of the algorithm are shown with tables and statistical evaluation‎.

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This Paper COI Code is JR_COMB-11-1_002. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1307308/

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Farahmand rad, Shahriar,1401,An effective new heuristic algorithm for solving permutation flow shop scheduling problem,https://civilica.com/doc/1307308

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Type of center: پیام نور
Paper count: 61,431
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