Journal article
A local search heuristic for the Multi-Commodity k-splittable Maximum Flow Problem
The Multi-Commodity k-splittable Maximum Flow Problem consists of maximizing the amount of flow routed through a network such that each commodity uses at most k paths and such that edge capacities are satisfied. The problem is NP -hard and has application in a.o. telecommunications. In this paper, a local search heuristic for solving the problem is proposed.
The heuristic is an iterative shortest path procedure on a reduced graph combined with a local search procedure to modify certain path flows and prioritize the different commodities. The heuristic is tested on benchmark instances from the literature and solves 83 % of the instances to optimality. For the remaining instances, the heuristic finds good solution values which on average are 1.04 % from the optimal.
The heuristic solves all instances in less than a second. Compared to other heuristics, the proposed heuristic again shows superior performance with respect to solution quality.
Language: | English |
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Publisher: | Springer Berlin Heidelberg |
Year: | 2014 |
Pages: | 919-937 |
ISSN: | 18624480 and 18624472 |
Types: | Journal article |
DOI: | 10.1007/s11590-013-0622-9 |