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Notes--On a Selection Problem

Author

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  • M. L. Balinski

    (Graduate Studies Division, City University of New York)

Abstract

John Rhys [Rhys, J. 1970. Shared fixed cost and network flows. Management Sci. 17(3, November).], and then J. D. Murchland [Murchland, J. D. 1968. Rhys's combinatorial station selection problem. Report LBS-TNT-68, London Graduate School of Business Studies, Transport Network Theory Unit, June 10.], have discussed a model aimed at making an optimal selection in a particular situation having several applications. This note shows how this problem can be solved by identifying minimum cuts with optimal selection.

Suggested Citation

  • M. L. Balinski, 1970. "Notes--On a Selection Problem," Management Science, INFORMS, vol. 17(3), pages 230-231, November.
    • Handle: RePEc:inm:ormnsc:v:17:y:1970:i:3:p:230-231
    DOI: 10.1287/mnsc.17.3.230
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    Cited by:

    1. Hochbaum, Dorit S., 2009. "Dynamic evolution of economically preferred facilities," European Journal of Operational Research, Elsevier, vol. 193(3), pages 649-659, March.
    2. Queyranne, M. & Wolsey, L.A., 2015. "Modeling poset convex subsets," LIDAM Discussion Papers CORE 2015049, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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