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The set of all nondominated solutions in linear cases and a multicriteria simplex method. (English) Zbl 0313.65047


MSC:

65K05 Numerical mathematical programming methods
90C05 Linear programming
Full Text: DOI

References:

[1] Yu, P. L., Cone convexity, cone extreme points and nondominated solutions in decision problems with multiobjectives, Center for Systems Science, The University of Rochester, CSS 72-02 (1972) · Zbl 0268.90057
[2] J. Optimization Theory Appl.; J. Optimization Theory Appl.
[3] Freimer, M.; Yu, P. L., An approach toward decision problems with multiobjectives, (CSS 72-03 (1972), Center for Systems Science, The University of Rochester) · Zbl 0365.90012
[4] Yu, P. L., Introduction to Domination Structures in Multicriteria Decision Problems, (Cochrane, J. L.; Zeleny, M., Multiple Criteria Decision Making (1973), University of South Carolina Press: University of South Carolina Press Columbia, SC)
[5] Vincent, T. L.; Leitmann, G., Control-space properties of cooperative games, J. Optimization Theory Appl., 6, 91-113 (1970) · Zbl 0185.24002
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[11] Gal, T.; Nedoma, J., Multiparametric linear programming, Management Sci., 18, 406-421 (1972) · Zbl 0237.90037
[12] Zeleny, M., Linear Multiobjective Programming, ((1974), Springer-Verlag: Springer-Verlag New York, Berlin), 220 · Zbl 0325.90033
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[16] Geoffrion, A. M., Solving bicriterion mathematical programs, Operations Res., 15, 39-54 (1967) · Zbl 0173.21602
[17] Yu, P. L., Nondominated investment policies in stock market, Systems Analysis Program, ((1972), The Graduate School of Management, The University of Rochester: The Graduate School of Management, The University of Rochester Rochester, NY), F7222
[18] (Cochrane, J. L.; Zeleny, M., Multiple Criteria Decision Making (1973), The University of South Carolina Press: The University of South Carolina Press Columbia, SC), 816
[19] Zeleny, M., A concept of compromise solutions and the method of the displaced ideal, J. Computers Opns. Res., 1, 17 (1974)
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