A Benders-Decomposition and Meta-Heuristic Algorithm for a Bi- Objective Stochastic Reliable Capacitated Facility Location Problem Not Dealing with Benders Feasibility-Cut Stage
Subject Areas : Executive ManagementAmirHossien ZahediAnaraki 1 , Gholamreza Esmaeilian 2
1 - Department of engineering,University of Applied Science andTechnology,Tehran, Iran
2 - Department of Industrial Engineering, University of PayameNoor,Tehran,Iran
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Abstract :
Atashpaz-Gargari, E. and Lucas, C. (2007) ‘Imperialist competitive algorithm: an algorithm for optimization inspired by imperialistic competition’, in Evolutionary computation, 2007. CEC 2007. IEEE Congress on. IEEE, pp. 4661–4667.
Azaron, A. et al. (2008) ‘A multi-objective stochastic programming approach for supply chain design considering risk’, International Journal of Production Economics, 116(1), pp. 129–138.
Balas, E. (1965) ‘An additive algorithm for solving linear programs with zero-one variables’, Operations Research, 13(4), pp. 517–546.
Ball, M. O. and Lin, F. L. (1993) ‘A reliability model applied to emergency service vehicle location’, Operations research, 41(1), pp. 18–36.
Benders, J. F. (1962) ‘Partitioning procedures for solving mixed-variables programming problems’, Numerische mathematik, 4(1), pp. 238–252.
Beresnev, V. and Melnikov, A. (2018) ‘Exact method for the capacitated competitive facility location problem’, Computers & Operations Research, 95, pp. 73–82.
Cardona-Valdés, Y., Álvarez, A. and Ozdemir, D. (2011) ‘A bi-objective supply chain design problem with uncertainty’, Transportation Research Part C: Emerging Technologies, 19(5), pp. 821–832.
Chen, C.-H. and Ting, C.-J. (2008) ‘Combining lagrangian heuristic and ant colony system to solve the single source capacitated facility location problem’, Transportation research part E: logistics and transportation review, 44(6), pp. 1099–1122.
Correia, I. and Melo, T. (2016) ‘Multi-period capacitated facility location under delayed demand satisfaction’, European Journal of Operational Research, 255(3), pp. 729–746.
Costa, A. M. (2005) ‘A survey on benders decomposition applied to fixed-charge network design problems’, Computers & operations research, 32(6), pp. 1429–1450.
Gade, D. and Pohl, E. A. (2009) ‘Sample average approximation applied to the capacitated-facilities location problem with unreliable facilities’, Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 223(4), pp. 259–269.
Geoffrion, A. and Bride, R. M. (1978) ‘Lagrangean relaxation applied to capacitated facility location problems’, AIIE transactions, 10(1), pp. 40–47.
Harks, T. and von Falkenhausen, P. (2014) ‘Optimal cost sharing for capacitated facility location games’, European Journal of Operational Research, 239(1), pp. 187–198.
Laporte, G., Louveaux, F. V. and van Hamme, L. (1994) ‘Exact solution to a location problem with stochastic demands’, Transportation Science, 28(2), pp. 95–103.
Li, X. and Ouyang, Y. (2010) ‘A continuum approximation approach to reliable facility location design under correlated probabilistic disruptions’, Transportation research part B: methodological, 44(4), pp. 535–548.
Lim, M. et al. (2010) ‘A facility reliability problem: Formulation, properties, and algorithm’, Naval Research Logistics (NRL), 57(1), pp. 58–70.
Magnanti, T. L. and Wong, R. T. (1981) ‘Accelerating Benders decomposition: Algorithmic enhancement and model selection criteria’, Operations research, 29(3), pp. 464–484.
Melo, M. T., Nickel, S. and Saldanha-Da-Gama, F. (2009) ‘Facility location and supply chain management–A review’, European journal of operational research, 196(2), pp. 401–412.
Razmi, J., Zahedi-Anaraki, A. and Zakerinia, M. (2013) ‘A bi-objective stochastic optimization model for reliable warehouse network redesign’, Mathematical and Computer Modelling, 58(11–12), pp. 1804–1813.
Revelle, C. S., Eiselt, H. A. and Daskin, M. S. (2008) ‘A bibliography for some fundamental problem categories in discrete location science’, European Journal of Operational Research, 184(3), pp. 817–848.
Rodrigues, F. C. and Xavier, E. C. (2017) ‘Non-cooperative capacitated facility location games’, Information Processing Letters, 117, pp. 45–53.
Snyder, L. V. (2006) ‘Facility location under uncertainty: a review’, IIE transactions, 38(7), pp. 547–564.
Snyder, L. V. and Daskin, M. S. (2005) ‘Reliability models for facility location: the expected failure cost case’, Transportation Science, 39(3), pp. 400–416.
Snyder, L. V. and Daskin, M. S. (2007) ‘Models for reliable supply chain network design’, in Critical Infrastructure. Springer, pp. 257–289.
Sodagari, N. and Sadeghi, A. (2015) ‘A Benders Decomposition Method to Solve an Integrated Logistics Network Designing Problem with Multiple Capacities’, Journal of Optimization in Industrial Engineering, 8(18), pp. 79–93.
Üster, H. and Agrahari, H. (2011) ‘A Benders decomposition approach for a distribution network design problem with consolidation and capacity considerations’, Operations Research Letters, 39(2), pp. 138–143.
Wentges, P. (1996) ‘Accelerating Benders’ decomposition for the capacitated facility location problem’, Mathematical Methods of Operations Research, 44(2), pp. 267–290.