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On some relations between a dual pair of multiple objective linear programs. (English) Zbl 0375.90049


MSC:

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

References:

[1] Dantzig, G.B.: Linear Programming and Extensions. Princeton, New Jersey 1963. · Zbl 0108.33103
[2] Evans, J.P., andR. E. Steuer: A Revised Simplex Method for Linear Multiple Objective Programs. Mathematical Programming5 (1), 1973, 54–72. · Zbl 0281.90045 · doi:10.1007/BF01580111
[3] Isermann, H.: Proper Efficiency and the Linear Vector Maximum Problem. Operations Research22 (1), 1974, 189–191. · Zbl 0274.90024 · doi:10.1287/opre.22.1.189
[4] -: Ein Algorithmus zur Lösung linearer Vektormaximumprobleme, In: Proceedings in Operations Research5, hrsg. vonJ Kohlas, O. Seifert, P. Stähly undH.-J. Zimmermann. Würzburg-Wien 1976, 55–65. · Zbl 0326.90035
[5] –: The Relevance of Duality in Linear Multiple Objective Programming: In: North-Holland/TIMS Studies in the Management Sciences, Vol. 6, 1977, 241–262.
[6] Krekó, B.: Linear Programming, London 1968.
[7] Mangasarian, O.L.: Nonlinear Programming, New York 1969. · Zbl 0194.20201
[8] Simonnard, M.: Linear Programming, Englewood Cliffs, New Jersey 1966. · Zbl 0154.19506
[9] Tschernikow, S.N.: Lineare Ungleichungen, Berlin 1971. · Zbl 0221.15013
[10] Zeleny, M.: Compromise Programming. In: Multiple Criteria Decision Making, ed. byJ.L. Cochrane andM. Zeleny. Columbia, South Carolina 1973, 262–301.
[11] -: Linear Multiobjective Programming, Berlin-Heidelberg-New York 1974. · Zbl 0325.90033
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