Linear optimization with multiple equitable criteria
RAIRO - Operations Research - Recherche Opérationnelle, Tome 33 (1999) no. 3, pp. 275-297.
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     volume = {33},
     number = {3},
     year = {1999},
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     language = {en},
     url = {http://www.numdam.org/item/RO_1999__33_3_275_0/}
}
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Kostreva, Michael M.; Ogryczak, Włodzimierz. Linear optimization with multiple equitable criteria. RAIRO - Operations Research - Recherche Opérationnelle, Tome 33 (1999) no. 3, pp. 275-297. http://www.numdam.org/item/RO_1999__33_3_275_0/

1. R.E. Steuer, Multiple Criteria Optimization - Theory, Computation and Applications, John Wiley and Sons, New York, 1986. | MR | Zbl

2. T. J. Stewart, A Critical Survey on the Status of Multiple Criteria Decision Making Theory and Practice, OMEGA, 1992, 20, p. 569-586.

3. D. J. White, A Bibliography on the Applications of Mathematical Programming Multiple-Objective Methods, J. Oper. Res.Soc., 1990, 41, p. 669-691. | Zbl

4. T. Ibaraki and N. Katoh, Resource Allocation Problems, Algorithmic Approaches, MIT Press, Cambridge, Massachusetts, 1988. | MR | Zbl

5. J. R. Brown, The Sharing Problem, Oper. Res., 1979, 27, p. 324-340. | MR | Zbl

6. J. R. Brown, The Knapsack Sharing Problem, Oper. Res., 1979, 27, p. 341-355. | MR | Zbl

7. R. S. Klein, H. Luss and D. R. Smith, A Lexicographie Minimax Algorithm for Multiperiod Resource Allocation, Math. Programming, 1992, 55, p. 213-234. | MR | Zbl

8. W. Ogryczak, On the Lexicographie Minimax Approach to Location Problems, European J. Oper. Res., 1997, 100, p. 566-595. | Zbl

9. Ph. Vincke, Multicriteria Decision-Aid, John Wiley and Sons, New York, 1992.

10. A. Sen, On Economic Inequality, Clarendon Press, Oxford, 1973.

11. W. Ogryczak, Equitable Multiple Criteria Programming, Warsaw University, Institute of Informaties, Technical Report TR 96-02 (223), 1996.

12. V. V. Podinovskii, Multi-Criterion Problems with Uniform Equivalent Criteria, U.S.S.R. Comput. Math. and Math. Phys., 1975, 15, p. 47-60. | Zbl

13. A. W. Marshall and I. Olkin, Inequalities: Theory of Majorization and Its Applications, Academic Press New York, New York, 1979. | MR

14. P. L. Yu, Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decisions Problems with Multiple Objectives, J. Optim. Theor. Appl., 1974, 14, p. 319-377. | MR | Zbl

15. R. R. Yager, On Ordered Weighted Averaging Aggregation Operators in Multicriteria Decision Making, IEEE Trans. Systems Man Cybern., 1988, 18, p. 183-190. | MR | Zbl

16. J. A.M. Potters and S. H. Tus, The Nucleolus of a Matrix Game and Other Nucleoli, Math. Oper. Res., 1992, 17, p. 164-174. | MR | Zbl

17. E. Marchi and J. A. Oviedo, Lexicographie Optimality in the Multiple Objective Linear Programming: the Nucleolar Solution, Eur. J. Oper, Res., 1992, 57, p. 355-359. | Zbl

18. D. T. Luc, Theory of Vector Optimization, Springer-Verlag, Berlin, 1989. | MR