Title
Algorithms for the Bin Packing Problem with Conflicts
Abstract
We consider a particular bin packing problem in which some pairs of items may be in conflict and cannot be assigned to the same bin. The problem, denoted as the bin packing problem with conflicts, is of practical and theoretical interest because of its many real-world applications and because it generalizes both the bin packing problem and the vertex coloring problem. We present new lower bounds, upper bounds, and an exact approach, based on a set covering formulation solved through a branch-and-price algorithm. We investigate the behavior of the proposed procedures by means of extensive computational results on benchmark instances from the literature.
Year
DOI
Venue
2010
10.1287/ijoc.1090.0355
INFORMS Journal on Computing
Keywords
Field
DocType
benchmark instance,branch-and-price algorithm,extensive computational result,bin packing problem,particular bin packing problem,real-world application,proposed procedure,new lower bound,exact approach,vertex coloring problem,heuristics,branch and price
Discrete mathematics,Mathematical optimization,Bin,Vertex (geometry),Best bin first,Branch and price,Algorithm,Heuristics,Cutting stock problem,Set packing,Bin packing problem,Mathematics
Journal
Volume
Issue
ISSN
22
3
1091-9856
Citations 
PageRank 
References 
21
0.95
14
Authors
4
Name
Order
Citations
PageRank
Albert E. Fernandes Muritiba1210.95
Manuel Iori279046.05
Enrico Malaguti331221.69
Paolo Toth432620.42