Primal–dual approximation algorithm for the two-level facility location problem via a dual quasi-greedy approach

The main contribution of this work is to propose a primal–dual combinatorial 3(1+ε)-approximation algorithm for the two-level facility location problem (2-LFLP) by exploring the approximation oracle concept. This result improves the previous primal–dual 6-approximation algorithm for the multilevel f...

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Vydáno v:Theoretical computer science Ročník 562; s. 213 - 226
Hlavní autoři: Wu, Chenchen, Du, Donglei, Xu, Dachuan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 2015
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ISSN:0304-3975, 1879-2294
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Shrnutí:The main contribution of this work is to propose a primal–dual combinatorial 3(1+ε)-approximation algorithm for the two-level facility location problem (2-LFLP) by exploring the approximation oracle concept. This result improves the previous primal–dual 6-approximation algorithm for the multilevel facility location problem, and also matches the previous primal–dual approximation ratio for the single-level facility location problem. One of the major merits of primal–dual type algorithms is their easy adaption to other variants of the facility location problems. As a demonstration, our primal–dual approximation algorithm can be easily adapted to several variants of the 2-LFLP, including models with stochastic scenario, dynamically arrived demands, and linear facility cost.
Bibliografie:ObjectType-Article-1
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content type line 23
ISSN:0304-3975
1879-2294
DOI:10.1016/j.tcs.2014.09.045