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Algorithms for the vector maximization problem. (English) Zbl 0288.90052


MSC:

90C05 Linear programming
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[1] R. Benayoun and J. Tergny, ”Critères multiples en programmation mathématique: une solution dans le cas linéaire,”Revue Française d’Information et de Recherche Operationelle 5 (1969) 31–56. · Zbl 0187.17501
[2] P. Bod, ”Linear optimization with several simultaneously gíven objective functions (in Hungarian),”Publications of the Mathematical Institute of the Hungarian Academy of Sciences 8, B, Fasc. 4 (1963).
[3] A. Charnes and W.W. Cooper, ”Management models and industrial applications of linear programming,”Management Science 4 (1957) 39–92. · Zbl 0995.90552
[4] A. Charnes and W.W. Cooper,Management models and industrial applications of linear programming, Vols. I and II (Wiley, New York, 1969). · Zbl 0194.20001
[5] A.M. Geoffrion, ”Proper efficiency and the theory of vector maximization,”Journal of Mathematical Analysis and Applications 22 (1968) 618–630. · Zbl 0181.22806
[6] Activity analysis of production and allocation, Ed. T.C. Koopmans (Wiley, New York, 1951). · Zbl 0045.09503
[7] H.W. Kuhn and A.W. Tucker, ”Nonlinear programming,”Proceedings of the second Berkeley symposium on mathematical statistics and probability (University of California Press, Berkeley, California, 1951) pp. 481–492.
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