Procedures for the bin packing problem with precedence constraints

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16 Scopus citations


The bin packing problem with precedence constraints (BPP-P) is a recently proposed variation of the classical bin packing problem (BPP), which corresponds to a basic model featuring many underlying characteristics of several scheduling and assembly line balancing problems. The formulation builds upon the BPP by incorporating precedence constraints among items, which force successor items to be packed into later bins than their predecessors. In this paper we propose a dynamic programming based heuristic, and a modified exact enumeration procedure to solve the problem. These methods make use of several new lower bounds and dominance rules tailored for the problem in hand. The results of a computational experiment show the effectiveness of the proposed methods, which are able to close all of the previous open instances from the benchmark instance set within very reduced running times.

Original languageEnglish
Pages (from-to)794-806
Number of pages13
JournalEuropean Journal of Operational Research
Issue number3
StatePublished - 1 May 2016
Externally publishedYes


  • Bin packing
  • Branch-and-bound
  • Dynamic programming
  • Lower bounds
  • Precedence constraints


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