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

Author

Listed:
  • Mohammad Reza Komari Alaei

    (Department of Business Administration, Hacettepe University, 06800 Beytepe, Ankara, Turkey)

  • Mehmet Soysal

    (Department of Business Administration, Hacettepe University, 06800 Beytepe, Ankara, Turkey)

  • Atabak Elmi

    (School of Information Technology, Deakin University, Geelong, VIC 3220, Australia)

  • Audrius Banaitis

    (Department of Construction Management and Real Estate, Vilnius Gediminas Technical University, 10223 Vilnius, Lithuania)

  • Nerija Banaitiene

    (Department of Construction Management and Real Estate, Vilnius Gediminas Technical University, 10223 Vilnius, Lithuania)

  • Reza Rostamzadeh

    (Department of Management, Urmia Branch, Islamic Azad University, Urmia, Iran)

  • Shima Javanmard

    (Department of Industrial Engineering, Eqbal Lahoori Institute of Higher Education, Mashhad, Iran)

Abstract

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.

Suggested Citation

  • Mohammad Reza Komari Alaei & Mehmet Soysal & Atabak Elmi & Audrius Banaitis & Nerija Banaitiene & Reza Rostamzadeh & Shima Javanmard, 2021. "A Bender’s Algorithm of Decomposition Used for the Parallel Machine Problem of Robotic Cell," Mathematics, MDPI, vol. 9(15), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:15:p:1730-:d:599384
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    References listed on IDEAS

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    1. Hall, Nicholas G. & Kamoun, Hichem & Sriskandarajah, Chelliah, 1998. "Scheduling in robotic cells: Complexity and steady state analysis," European Journal of Operational Research, Elsevier, vol. 109(1), pages 43-65, August.
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    11. Carlier, Jacques & Haouari, Mohamed & Kharbeche, Mohamed & Moukrim, Aziz, 2010. "An optimization-based heuristic for the robotic cell problem," European Journal of Operational Research, Elsevier, vol. 202(3), pages 636-645, May.
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