Mathematics (Jul 2021)

A Bender’s Algorithm of Decomposition Used for the Parallel Machine Problem of Robotic Cell

  • Mohammad Reza Komari Alaei,
  • Mehmet Soysal,
  • Atabak Elmi,
  • Audrius Banaitis,
  • Nerija Banaitiene,
  • Reza Rostamzadeh,
  • Shima Javanmard

DOI
https://doi.org/10.3390/math9151730
Journal volume & issue
Vol. 9, no. 15
p. 1730

Abstract

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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.

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