Sciweavers

Share
4OR
2008

A branch-and-price algorithm for the two-dimensional level strip packing problem

8 years 6 months ago
A branch-and-price algorithm for the two-dimensional level strip packing problem
The two-dimensional level strip packing problem (2LSPP) consists in packing rectangular items of given size into a strip of given width divided into levels. Items packed into the same level cannot be put on top of one another and their overall width cannot exceed the width of the strip. The objective is to accommodate all the items while minimizing the overall height of the strip. The problem is NP-hard and arises from applications in logistics and transportation. We present a set covering formulation of the 2LSPP suitable for a column generation approach, where each column corresponds to a feasible combination of items inserted into the same level. For the exact optimization of the 2LSPP we present a branch-and-price algorithm, in which the pricing problem is a penalized knapsack problem. Computational results are reported for benchmark instances with some hundreds items.
Andrea Bettinelli, Alberto Ceselli, Giovanni Righi
Added 24 Jan 2011
Updated 24 Jan 2011
Type Journal
Year 2008
Where 4OR
Authors Andrea Bettinelli, Alberto Ceselli, Giovanni Righini
Comments (0)
books