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arXiv · 2111.07885

Heuristics for k-domination models of facility location problems in street networks

Padraig Corcoran·Andrei Gagarin
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Abstract

We present new greedy and beam search heuristic methods to find small-size $k$-dominating sets in graphs. The methods are inspired by a new problem formulation which explicitly highlights a certain structure of the problem. An empirical evaluation of the new methods is done with respect to two existing methods, using instances of graphs corresponding to street networks. The k-domination problem with respect to this class of graphs can be used to model real-world facility location problem scenarios. For the classic minimum dominating set ($1$-domination) problem, all except one methods perform similarly, which is due to their equivalence in this particular case. However, for the k-domination problem with k>1, the new methods outperform the benchmark methods, and the performance gain is more significant for larger values of k.

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Padraig Corcoran, Andrei Gagarin. 2021-11-10. Heuristics for k-domination models of facility location problems in street networks. https://doi.org/10.1016/j.cor.2021.105368

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