Heuristic solutions to robust variants of the minimum-cost integer flow problem

Marko Špoljarec; Robert Manger

doi:10.1007/s10732-020-09441-1

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arXiv · 1907.09468

Heuristic solutions to robust variants of the minimum-cost integer flow problem

Marko Špoljarec·Robert Manger

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Abstract

This paper deals with robust optimization applied to network flows. Two robust variants of the minimum-cost integer flow problem are considered. Thereby, uncertainty in problem formulation is limited to arc unit costs and expressed by a finite set of explicitly given scenarios. It is shown that both problem variants are NP-hard. To solve the considered variants, several heuristics based on local search or evolutionary computing are proposed. The heuristics are experimentally evaluated on appropriate problem instances.

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Marko Špoljarec, Robert Manger. 2019-07-21. Heuristic solutions to robust variants of the minimum-cost integer flow problem. https://doi.org/10.1007/s10732-020-09441-1

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