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Author:

Zhang, Jin (Zhang, Jin.) | Li, Min (Li, Min.) | Wang, Yishui (Wang, Yishui.) | Wu, Chenchen (Wu, Chenchen.) | Xu, Dachuan (Xu, Dachuan.) (Scholars:徐大川)

Indexed by:

Scopus SCIE

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.

Keyword:

Per-scenario bound Stochastic facility location problem Approximation algorithm Squared metric

Author Community:

  • [ 1 ] [Zhang, Jin]Beijing Univ Technol, Beijing Key Lab Green Bldg & Energy Saving Techno, 100 Pingleyuan, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Jin]Beijing Municipal Inst Labour Protect, Beijing Key Lab Control Technol City Tox & Combus, Taoranting St 55, Beijing 100054, Peoples R China
  • [ 3 ] [Li, Min]Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
  • [ 4 ] [Wang, Yishui]Chinese Acad Sci, Shenzhen Inst Adv Technol, 1068 Xueyuan Ave, Shenzhen 518055, Peoples R China
  • [ 5 ] [Wu, Chenchen]Tianjin Univ Technol, Coll Sci, Tianjin 300384, Peoples R China
  • [ 6 ] [Xu, Dachuan]Beijing Univ Technol, Coll Appl Sci, Dept Informat & Operat Res, 100 Pingleyuan, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Li, Min]Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China

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Source :

JOURNAL OF COMBINATORIAL OPTIMIZATION

ISSN: 1382-6905

Year: 2019

Issue: 2

Volume: 38

Page: 618-634

1 . 0 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:3

Cited Count:

WoS CC Cited Count: 3

SCOPUS Cited Count: 4

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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