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Algorithms for the two dimensional bin packing problem with partial conflicts

Published online by Cambridge University Press:  24 May 2012

Khaoula Hamdi-Dhaoui ,
Nacima Labadie  and
Alice Yalaoui
Khaoula Hamdi-Dhaoui
Affiliation:
ICD – LOSI – University of Technology of Troyes, UMR-STMR-CNRS-6279, Troyes, France. [email protected]
Nacima Labadie
Affiliation:
ICD – LOSI – University of Technology of Troyes, UMR-STMR-CNRS-6279, Troyes, France. [email protected]
Alice Yalaoui
Affiliation:
ICD – LOSI – University of Technology of Troyes, UMR-STMR-CNRS-6279, Troyes, France. [email protected]
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Abstract

The two-dimensional bin packing problem is a well-known problem for which several exact and approximation methods were proposed. In real life applications, such as in Hazardous Material transportation, transported items may be partially incompatible, and have to be separated by a safety distance. This complication has not yet been considered in the literature. This paper introduces this extension called the two-dimensional bin packing problem with partial conflicts (2BPPC) which is a 2BP with distance constraints between given items to respect, if they are packed within a same bin. The problem is NP-hard since it generalizes the BP, already NP-hard. This study presents a mathematical model, two heuristics and a multi-start genetic algorithm for this new problem.

Keywords

Bin-packingdistance constraintconflictsgenetic algorithm
Type
Research Article
Information
RAIRO - Operations Research , Volume 46 , Issue 1 , January 2012 , pp. 41 - 62
Copyright
© EDP Sciences, ROADEF, SMAI, 2012

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