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Heuristic/meta-heuristic methods for restricted bin packing problem

Author

Listed:
  • Yu Fu

    (Texas A&M University)

  • Amarnath Banerjee

    (Texas A&M University)

Abstract

This paper addresses a special bin packing problem in which each item can only be assigned to a subset of the bins. We name this problem as the restricted bin packing problem (RBPP). This paper is designed to explore the relationships of RBPP with classic NP-complete problems, and to resolve the restrictions of assignment through heuristic and meta-heuristic algorithms. A new heuristic algorithm named ‘Max-fit Based on Zigzag Sorting with Retained Feasibility’ is proposed. In this heuristic algorithm, a feasibility retaining rule is constructed to assure the assignment of every item; a zigzag sorting method is designed to improve the performance of the algorithm. Our heuristic algorithm is able to generate better results in comparison with existing heuristics. Greedy Randomized Adaptive Search Procedure (GRASP) and Simulated Annealing (SA) are exploited to obtain better solutions for RBPP. A new construction method based on cliques and zigzag sorting are built for GRASP and SA. The proposed methods are shown to have higher efficiency than traditional ones through numeric examples.

Suggested Citation

  • Yu Fu & Amarnath Banerjee, 2020. "Heuristic/meta-heuristic methods for restricted bin packing problem," Journal of Heuristics, Springer, vol. 26(5), pages 637-662, October.
    • Handle: RePEc:spr:joheur:v:26:y:2020:i:5:d:10.1007_s10732-020-09444-y
    DOI: 10.1007/s10732-020-09444-y
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    References listed on IDEAS

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    1. Baldi, Mauro Maria & Crainic, Teodor Gabriel & Perboli, Guido & Tadei, Roberto, 2012. "The generalized bin packing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(6), pages 1205-1220.
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    3. Ming S. Hung & J. Randall Brown, 1978. "An algorithm for a class of loading problems," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 25(2), pages 289-297, June.
    4. Gabrel, Virginie, 1995. "Scheduling jobs within time windows on identical parallel machines: New model and algorithms," European Journal of Operational Research, Elsevier, vol. 83(2), pages 320-329, June.
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    Cited by:

    1. Méziane Aïder & Sabrin Boulebene & Mhand Hifi, 2025. "An adaptative multi-objective scatter search for solving the dynamic bin packing problem," Journal of Heuristics, Springer, vol. 31(1), pages 1-69, March.

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