Article ID: | iaor20022485 |
Country: | Netherlands |
Volume: | 25 |
Issue: | 1 |
Start Page Number: | 15 |
End Page Number: | 23 |
Publication Date: | Aug 1999 |
Journal: | Operations Research Letters |
Authors: | Minoux M., Gabrel V. |
Keywords: | programming: linear |
We describe an exact solution procedure, based on the use of standard LP software, for multicommodity network optimization problems with general discontinuous step-increasing cost functions. This class of problems includes the so-called single-facility and multiple-facility capacitated network loading problems as special cases. The proposed procedure may be viewed as a specialization of the well-known BENDERS partitioning procedure, leading to iteratively solving an integer 0–1 linear programming relaxed subproblem which is progressively augmented through constraint generation. We propose an improved implementation of the constraint generation principle where, at each step, several (O(