Robust uncapacitated multiple allocation hub location problem under demand uncertainty: minimization of cost deviations
Subject Areas : Mathematical OptimizationAleksejs Lozkins 1 , Mikhail Krasilnikov 2 , Vladimir Bure 3
1 - Department of Mathematical Game Theory and Statistical Decisions, Saint Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, Russian Federation, 199034|Department of Mathematical optimization and Modeling, Ltd. BIA-Technologies, 94, Moskovskiy avenue, St. Petersburg, Russian Federation, 196084
2 - Department of Mathematical optimization and Modeling, Ltd. BIA-Technologies, 94, Moskovskiy avenue, St. Petersburg, Russian Federation, 196084
3 - Department of Mathematical Game Theory and Statistical Decisions, Saint Petersburg State University, 7-9, Universitetskaya nab., St. Petersburg, Russian Federation, 199034
Keywords:
Abstract :
Alumur SA, Nickel S, Saldanha-da Gama F (2012) Hub location under uncertainty. Transp Res Part B Methodol 46(4):529–543
Beasley JE (1990) Or-library: distributing test problems by electronic mail. J Oper Res Soc 41(11):1069–1072
Benders JF (1962) Partitioning procedures for solving mixed-variables programming problems. Numerische Mathematik 4(1):238–252
Boukani FH, Moghaddam BF, Pishvaee MS (2016) Robust optimization approach to capacitated single and multiple allocation hub location problems. Comput Appl Math 35(1):45–60
Campbell JF, O’Kelly ME (2012) Twenty-fve years of hub location research. Transp Sci 46(2):153–169
Contreras I (2015) Hub location problems. Location science. Springer, Berlin, pp 311–344
Contreras I, Cordeau JF, Laporte G (2011) Stochastic uncapacitated hub location. Eur J Oper Res 212(3):518–528
de Camargo RS, Miranda G Jr, Luna HP (2008) Benders decomposition for the uncapacitated multiple allocation hub location problem. Comput Oper Res 35(4):1047–1064
de Camargo RS, de Miranda Jr G, Ferreira RP (2011) A hybrid outerapproximation/benders decomposition algorithm for the single allocation hub location problem under congestion. Oper Res Lett 39(5):329–337
de Sá EM, de Camargo RS, de Miranda G (2013) An improved benders decomposition algorithm for the tree of hubs location problem. Eur J Oper Res 226(2):185–202
de Sá EM, Morabito R, de Camargo RS (2018) Benders decomposition applied to a robust multiple allocation incomplete hub location problem. Comput Oper Res 89:31–50
Hamacher HW, Labbé M, Nickel S, Sonneborn T (2004) Adapting polyhedral properties from facility to hub location problems. Discrete Appl Math 145(1):104–116
Kahag MR, Niaki STA, Seifbarghy M, Zabihi S (2019) Bi-objective optimization of multi-server intermodal hub-location-allocation problem in congested systems: modeling and solution. J Ind Eng Int 15(2):221–248
Magnanti TL, Wong RT (1981) Accelerating benders decomposition: algorithmic enhancement and model selection criteria. Oper Res 29(3):464–484
Marianov V, Serra D (2003) Location models for airline hubs behaving as m/d/c queues. Comput Oper Res 30(7):983–1003
Meraklı M, Yaman H (2016) Robust intermodal hub location under polyhedral demand uncertainty. Transp Res Part B Methodol 86:66–85
Mercier A, Cordeau JF, Soumis F (2005) A computational study of benders decomposition for the integrated aircraft routing and crew scheduling problem. Comput Oper Res 32(6):1451–1476
O’kelly ME (1986) The location of interacting hub facilities. Transp Sci 20(2):92–106
Papadakos N (2008) Practical enhancements to the Magnanti–Wong method. Oper Res Lett 36(4):444–449
Sim T, Lowe TJ, Thomas BW (2009) The stochastic p-hub center problem with service-level constraints. Comput Oper Res
36(12):3166–3177
Yahyaei M, Bashiri M (2017) Scenario-based modeling for multiple allocation hub location problem under disruption risk:
multiple cuts benders decomposition approach. J Ind Eng Int 13(4):445–453
Yang TH (2009) Stochastic air freight hub location and fight routes planning. Appl Math Model 33(12):4424–4430
Yu CS, Li HL (2000) A robust optimization model for stochastic logistic problems. Int J Prod Econ 64(1–3):385–397
Zetina CA, Contreras I, Cordeau JF, Nikbakhsh E (2017) Robust uncapacitated hub location. Transp Res Part B Methodol 106:393–410