Skip to Main content Skip to Navigation
Journal articles

Variable and large neighborhood search to solve the multiobjective set covering problem

Thibaut Lust 1 Daniel Tuyttens
1 DECISION
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : In this paper, we study the multiobjective version of the set covering problem. To our knowledge, this problem has only been addressed in two papers before, and with two objectives and heuristic methods. We propose a new heuristic, based on the two-phase Pareto local search, with the aim of generating a good approximation of the Pareto efficient solutions. In the first phase of this method, the supported efficient solutions or a good approximation of these solutions is generated. Then, a neighborhood embedded in the Pareto local search is applied to generate non-supported efficient solutions. In order to get high quality results, two elaborate local search techniques are considered: a large neighborhood search and a variable neighborhood search. We intensively study the parameters of these two techniques. We compare our results with state-of-the-art results and we show that with our method, better results are obtained for different indicators.
Document type :
Journal articles
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01170026
Contributor : Lip6 Publications <>
Submitted on : Tuesday, June 30, 2015 - 5:13:45 PM
Last modification on : Thursday, March 21, 2019 - 2:34:31 PM

Identifiers

Citation

Thibaut Lust, Daniel Tuyttens. Variable and large neighborhood search to solve the multiobjective set covering problem. Journal of Heuristics, Springer Verlag, 2014, 20 (2), pp.165-188. ⟨10.1007/s10732-013-9236-8⟩. ⟨hal-01170026⟩

Share

Metrics

Record views

158