English

The Invisible Hand Heuristic for Origin-Destination Integer Multicommodity Network Flows

Data Structures and Algorithms 2020-07-15 v1 Discrete Mathematics Combinatorics Optimization and Control

Abstract

Origin-destination integer multicommodity flow problems differ from classic multicommodity models in that each commodity has one source and one sink, and each commodity must be routed along a single path. A new invisible-hand heuristic that mimics economic markets' behavior is presented and tested on large-scale telecommunications networks, with solution times two orders of magnitude faster than Cplex's LP relaxation, more dramatic MIP ratios, and small solution value differences.

Cite

@article{arxiv.2007.06693,
  title  = {The Invisible Hand Heuristic for Origin-Destination Integer Multicommodity Network Flows},
  author = {Richard S. Barr and Thomas McLoud},
  journal= {arXiv preprint arXiv:2007.06693},
  year   = {2020}
}

Comments

29 pages, 4 figures

R2 v1 2026-06-23T17:05:33.852Z