Title
Mathematical programming algorithms for bin packing problems with item fragmentation
Abstract
In this paper we consider a class of bin packing problems from the literature having the following distinctive feature: items may be fragmented at a price. Problems of this kind arise in diverse application fields like logistics and telecommunications, and have already been extensively tackled from an approximation point of view. We focus on the case in which splitting produces no overhead, a fixed number of bins is given and the number of fragments or fragmentations needs to be minimized. We first investigate the theoretical properties of the problem. Then we elaborate on them to devise mathematical programming models and algorithms, yielding both exact optimization algorithms and effective heuristics. An extensive experimental campaign proves that our approach is very effective, and highlights which features make an instance computationally harder to solve.
Year
DOI
Venue
2014
10.1016/j.cor.2013.12.008
Computers & OR
Keywords
DocType
Volume
mathematical programming model,instance computationally,item fragmentation,extensive experimental campaign,bin packing problem,mathematical programming algorithm,approximation point,diverse application field,fixed number,exact optimization algorithm,effective heuristics,following distinctive feature
Journal
46,
ISSN
Citations 
PageRank 
0305-0548
14
1.04
References 
Authors
11
2
Name
Order
Citations
PageRank
Marco Casazza1374.40
Alberto Ceselli234130.53