Author
Haouari, Mohamed, Serairi, M.
Publication Date
2011-03
Publication Place
-
Springer Science+Business Media
Subject
Bin packing problem, Lower bounds, Branch-and-bound
Type
Periodical
Language
English
Digital
Yes
Manuscript
No
Library
Özyeğin University
Library Asset ID
0926-6003
Record ID
782f3d01-4f12-4577-9752-9a6ec007d126
Library Location
Industrial Engineering
Date
2011-03
Notes
Due to copyright restrictions, the access to the full text of this article is only available via subscription.
Sample Text
We address a generalization of the classical one-dimensional bin packing problem with unequal bin sizes and costs. We investigate lower bounds for this problem as well as exact algorithms. The main contribution of this paper is to show that embedding a tight network flow-based lower bound, dominance rules, as well as an effective knapsack-based heuristic in a branch-and-bound algorithm yields very good performance. In addition, we show that the particular case with all weight items larger than a third the largest bin capacity can be restated and solved in polynomial-time as a maximum-weight matching problem in a nonbipartite graph. We report the results of extensive computational experiments that provide evidence that large randomly generated instances are optimally solved within moderate CPU times.
DOI
10.1007/s10589-009-9276-z
Cilt
48
