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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
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[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
[6] Leitmann, G.; Rocklin, S.; Vincent, T. L., A note on control space properties of cooperative games, J. Optimization Theory Appl., 9, 379-390 (1972) · Zbl 0235.90059
[7] Stoer, J.; Witzgall, C., Convexity and Optimization in Finite Dimensions I (1970), Springer-Verlag: Springer-Verlag Berlin, New York · Zbl 0203.52203
[8] Hadley, G., Linear Programming (1963), Addison and Wesley: Addison and Wesley Reading, MA · Zbl 0102.36304
[9] Dantzig, G. B., Linear Programming and Extentions (1963), Princeton University Press: Princeton University Press Princeton, NJ · Zbl 0108.33103
[10] Yu, P. L.; Zeleny, M., On some linear multi-parametric programs, (Center for Systems Science, CSS 73-05 (1973), The University of Rochester: The University of Rochester Rochester, NY) · Zbl 0357.90034
[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
[13] Mangasarian, O. L., Nonlinear Programming (1969), McGraw-Hill: McGraw-Hill New York · Zbl 0194.20201
[14] Charnes, A.; Cooper, W. W., (Management Models and Industrial Applications of Linear Programming, Vols. I and II (1961), Wiley: Wiley New York) · Zbl 0107.37004
[15] Geoffrion, A. M., Strictly concave parametric programming, Part II, Management Sci., 13, 359-370 (1967) · Zbl 0154.44901
[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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