Fixed-charge transportation problems on trees
Optimization and Control
2015-11-26 v1 Discrete Mathematics
Abstract
We consider a class of fixed-charge transportation problems over graphs. We show that this problem is strongly NP-hard, but solvable in pseudo-polynomial time over trees using dynamic programming. We also show that the LP formulation associated to the dynamic program can be obtained from extended formulations of single-node flow polytopes. Given these results, we present a unary expansion-based formulation for general graphs that is computationally advantageous when compared to a standard formulation, even if its LP relaxation is not stronger.
Cite
@article{arxiv.1511.08179,
title = {Fixed-charge transportation problems on trees},
author = {Gustavo Angulo and Mathieu Van Vyve},
journal= {arXiv preprint arXiv:1511.08179},
year = {2015}
}