Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this paper we introduce and analyze a solution concept of the conditional minimax as a generalization of the minimax solution concept extended to take into account the number of services (the portion of demand) related to the worst performances. Namely, for a specified portion of demand we take into account the corresponding portion of the maximum results and we consider their average as the worst conditional mean to be minimized. We show that, similar to the standard minimax approach, the minimization of the worst conditional mean can be defined by a linear objective and a number of auxiliary linear inequalities. We report some results of initial computational experience with the new solution concept.
Rocznik
Tom
Strony
40--48
Opis fizyczny
Bibliogr. 12 poz., tab., rys.
Twórcy
autor
- Institute of Control & Computation Engineering, Warsaw University of Technology
autor
- Institute of Control & Computation Engineering, Warsaw University of Technology
Bibliografia
- [1] J. F. Campbell, “Hub location and the p-hub median problem”, Oper. Res., vol. 44, pp. 923–935, 1996.
- [2] D. W. Corne, M. J. Oates, and G. D. Smith, Eds., Telecommunications Optimization: Heuristics and Adaptive Techniques. New York: Wiley, 2000.
- [3] S. Cosares, D. N. Deutsch, I. Saniee, and O. J. Wasem, “SONET toolkit: a decision support system for designing robust and cost-effective fiber-optic networks”, Interfaces, vol. 25, pp. 20–40, 1995.
- [4] E. Gourdin, “Optimizing Internet networks”, OR/MS Today, vol. 28, pp. 46–49, 2001.
- [5] ILOG Inc., Using the CPLEX Callable Library. Incline Village: ILOG Inc., CPLEX Division, 1997.
- [6] J. G. Klincewicz, “Hub location in backbone/tributary network de-sign: a review”, Loc. Sci., vol. 6, pp. 307–335, 1998.
- [7] M. M. Kostreva and W. Ogryczak, “Linear optimization with multiple equitable criteria”, RAIRO Oper. Res., vol. 33, pp. 275–297, 1999.
- [8] H. Luss, “On equitable resource allocation problems: a lexicographic minimax approach”, Oper. Res., vol. 47, pp. 361–378, 1999.
- [9] W. Ogryczak, “On the lexicographic minimax approach to location problems”, Eur. J. Oper. Res., vol. 100, pp. 566–585, 1997.
- [10] W. Ogryczak, “Inequality measures and equitable approaches to location problems”, Eur. J. Oper. Res., vol. 122, pp. 374–391, 2000.
- [11] J. Rawls, The Theory of Justice. Cambridge: Harvard University Press, 1971.
- [12] A. Sen, On Economic Inequality. Oxford: Clarendon Press, 1973.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPS2-0018-0023
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