Article ID: | iaor1998397 |
Country: | Netherlands |
Volume: | 19 |
Issue: | 4 |
Start Page Number: | 151 |
End Page Number: | 159 |
Publication Date: | Oct 1996 |
Journal: | Operations Research Letters |
Authors: | Wolsey Laurence A., Vanderbeck Franois |
Keywords: | bin packing |
An exact column generation algorithm for integer programs with a large (implicit) number of columns is presented. The family of problems that can be treated includes not only standard partitioning problems such as bin packing and certain vehicle routing problems in which the columns generated have 0–1 components and a right-hand side vector of 1's, but also the cutting stock problem in which the columns and right-hand side are nonnegative integer vectors. We develop a combined branching and subproblem modification scheme that generalizes existing approaches, and also describe the use of lower bounds to reduce tailing-off effects.