Efficient implementations of minimum-cost flow algorithms
Abstract
This paper presents efficient implementations of several algorithms for solving the minimum-cost network flow problem. Various practical heuristics and other important implementation aspects are also discussed. A novel result of this work is the application of Goldberg's recent partial augment-relabel method in the cost-scaling algorithm. The presented implementations are available as part of the LEMON open source C++ optimization library (\url{http://lemon.cs.elte.hu/}). The performance of these codes is compared to well-known and efficient minimum-cost flow solvers, namely CS2, RelaxIV, MCF, and the corresponding method of the LEDA library. According to thorough experimental analysis, the presented cost-scaling and network simplex implementations turned out to be more efficient than LEDA and MCF. Furthermore, the cost-scaling implementation is competitive with CS2. The RelaxIV algorithm is often much slower than the other codes, although it is quite efficient on particular problem instances.
Cite
@article{arxiv.1207.6381,
title = {Efficient implementations of minimum-cost flow algorithms},
author = {Z. Király and P. Kovács},
journal= {arXiv preprint arXiv:1207.6381},
year = {2012}
}