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Morávek, Jaroslav ; Vlach, Milan
On necessary conditions for a class of systems of linear inequalities. (English). Aplikace matematiky, vol. 13 (1968), issue 4, pp. 299-303
MSC: 15-50 | MR 0240119 | Zbl 0165.34601 | DOI: 10.21136/AM.1968.103176
Keywords:
linear algebra
Summary:
In this note a class of convex polyhedral sets of functions is studied. A set of the considered class is non-emplty if it satisfies certain conditions. Using Theorem 1 of this paper in the case of multi-index transportations problems we obtain necessary conditions for the existence of a feasible solution to this problem.
References:
[1] K. B. Haley: The Multi-Index Problem. Opns. Res. 11, 1963, p. 368. DOI 10.1287/opre.11.3.368 | Zbl 0121.14604
[2] J. Morávek M. Vlach: On the Necessary Conditions for the Existence of the Solution of Multi-Index Transportation Problem. Opns. Res. 15 (1967).
[3] K. B. Haley: A Note to the paper by Moravek and Vlach. Opns. Res. 15 (1967), str. 545-546.
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