Abstract
In [van Roy 1986] an algorithm is presented to strengthen Benders’ cuts, if Benders’ decomposition is applied to solve the capacitated facility location problem. Referring to this algorithm an idea is presented to construct stronger cuts and first results are discussed. The pareto-optimality of these cuts in the sense of [Magnanti/Wong 1981] is shown under a weak assumption.
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References
Domschke, W./ Drexl, A.: ADD-heuristics Starting Procedures for Capacitated Plant Location Models. European Journal of Operational Research 21 (1985), p. 47–53.
Magnanti, T.L./ Wong, R.T.: Accelerating Benders Decomposition: Algorithmic Enhancement and Model Selection Criteria. Operations Research 29 (1981), p. 464–484.
Magnanti, T.L./ Wong, R.T.: Decomposition Methods for Facility Location Problems. In: Mirchandani, P.B./Francis, R.L. (eds.): Discrete Location Theory, Wiley Interscience, New York 1989, p. 209–262.
van Roy, T.: A Cross Decompositon Algorithm for Capacitated Facility Location. Operations Research 34 (1986), p. 145–163.
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© 1993 Springer-Verlag Berlin Heidelberg
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Wentges, P. (1993). On Benders’ Decomposition for the Capacitated Facility Location Problem. In: Karmann, A., Mosler, K., Schader, M., Uebe, G. (eds) Operations Research ’92. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12629-5_45
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DOI: https://doi.org/10.1007/978-3-662-12629-5_45
Publisher Name: Physica, Heidelberg
Print ISBN: 978-3-7908-0679-3
Online ISBN: 978-3-662-12629-5
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