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A hybrid algorithm for constrained order packing

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  • Nikolaus Furian
  • Siegfried Vössner

Abstract

Constraint order packing, which is an extension to the classical two-dimensional bin packing, adds an additional layer of complexity to known bin packing problems by new additional placement and order constraints. While existing meta heuristics usually produce good results for common bin packing problems in any dimension, they are not able to take advantage of special structures resulting from these constraints in this particular two-dimensional prolbem type. We introduce a hybrid algorithm that is based on greedy search and is nested within a network search algorithm with dynamic node expansion and meta logic, inspired by human intuition, to overrule decisions implied by the greedy search. Due to the design of this algorithm we can control the performance characteristics to lie anywhere between classical network search algorithms and local greedy search. We will present the algorithm, discuss bounds and show that their performance outperforms common approaches on a variety of data sets based on industrial applications. Furthermore, we discuss time complexity and show some ideas to speed up calculations and improve the quality of results. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Nikolaus Furian & Siegfried Vössner, 2014. "A hybrid algorithm for constrained order packing," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(1), pages 157-186, March.
    • Handle: RePEc:spr:cejnor:v:22:y:2014:i:1:p:157-186
    DOI: 10.1007/s10100-012-0282-3
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    1. Luka Tomat & Mirko Gradišar, 2017. "One-dimensional stock cutting: optimization of usable leftovers in consecutive orders," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 25(2), pages 473-489, June.

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