Approximation algorithms for the robust/soft-capacitated 2-level facility location problems

Chenchen Wu, Dachuan Xu, Dongmei Zhang () and Peng Zhang
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Chenchen Wu: Tianjin University of Technology
Dachuan Xu: Beijing University of Technology
Dongmei Zhang: Shandong Jianzhu University
Peng Zhang: Shandong University

Journal of Global Optimization, 2018, vol. 70, issue 1, No 11, 207-222

Abstract: Abstract In this work, we consider the robust/soft-capacitated 2-level facility location problems. For the robust version, we propose a primal-dual based $$(3+\epsilon )$$ ( 3 + ϵ ) -approximation algorithm via construction of an adapted instance which explores some open facilities in the optimal solution. For the soft-capacitated version, we propose a $$ (4+ 1/ (e-1) +\epsilon )$$ ( 4 + 1 / ( e - 1 ) + ϵ ) -approximation algorithm via construction of the associated uncapacitated version whose connection cost is re-defined appropriately.

Keywords: Facility location problem; Approximation algorithm; Primal-dual (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10898-017-0566-1

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