Approximation algorithm for squared metric two-stage stochastic facility location problem

Jin Zhang (), Min Li (), Yishui Wang (), Chenchen Wu () and Dachuan Xu ()
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Jin Zhang: Beijing University of Technology
Min Li: Shandong Normal University
Yishui Wang: Chinese Academy of Sciences
Chenchen Wu: Tianjin University of Technology
Dachuan Xu: Beijing University of Technology

Journal of Combinatorial Optimization, 2019, vol. 38, issue 2, No 16, 618-634

Abstract: Abstract In this paper, we consider a variant of the classical uncapacitated facility location problem, so-called squared metric two-stage stochastic facility location problem (SM-2-SFLP) which can treat the uncertainty of the set of clients and facility costs. We assume that the connection cost is squared metric, a variant of the metric case which is widely researched. We give a new 0–1 integer linear programming for SM-2-SFLP. Based on the new formulation, we apply two known algorithms to SM-2-SFLP, and analyze the approximation ratio and per-scenario bound respectively.

Keywords: Stochastic facility location problem; Squared metric; Approximation algorithm; Per-scenario bound (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10878-019-00404-2

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