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A bender’s algorithm of decomposition used for the parallel machine problem of robotic cell

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journal contribution
posted on 2021-01-01, 00:00 authored by Mohammad Reza Komari Alaei, Mehmet Soysal, Atabak ElmiAtabak Elmi, Audrius Banaitis, Nerija Banaitiene, Reza Rostamzadeh, Shima Javanmard
The present research addresses the single transportation robot used to alleviate problems of robotic cell scheduling of the machines. For the purpose of minimizing the make-span, a model of mixed-integer linear programming (MILP) has been suggested. Since the inefficiency exists in NP-hard, a decomposition algorithm posed by Bender was utilized to alleviate the problem in real life situations. The proposed algorithm can be regarded as an efficient attempt to apply optimality Bender’s cuts regarding the problem of parallel machine robotic cell scheduling in order to reach precise resolutions for medium and big sized examples. The numerical analyses have demonstrated the efficiency of the proposed solving approach.

History

Journal

Mathematics

Volume

9

Issue

15

Article number

1730

Pagination

1 - 15

Publisher

MDPI AG

Location

Basel, Switzerland

eISSN

2227-7390

Language

eng

Publication classification

C1 Refereed article in a scholarly journal