# On necessary conditions for a class of systems of linear inequalities

Aplikace matematiky (1968)

- Volume: 13, Issue: 4, page 299-303
- ISSN: 0862-7940

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topMorávek, Jaroslav, and Vlach, Milan. "On necessary conditions for a class of systems of linear inequalities." Aplikace matematiky 13.4 (1968): 299-303. <http://eudml.org/doc/14550>.

@article{Morávek1968,

abstract = {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.},

author = {Morávek, Jaroslav, Vlach, Milan},

journal = {Aplikace matematiky},

keywords = {linear algebra; linear algebra, forms},

language = {eng},

number = {4},

pages = {299-303},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {On necessary conditions for a class of systems of linear inequalities},

url = {http://eudml.org/doc/14550},

volume = {13},

year = {1968},

}

TY - JOUR

AU - Morávek, Jaroslav

AU - Vlach, Milan

TI - On necessary conditions for a class of systems of linear inequalities

JO - Aplikace matematiky

PY - 1968

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 13

IS - 4

SP - 299

EP - 303

AB - 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.

LA - eng

KW - linear algebra; linear algebra, forms

UR - http://eudml.org/doc/14550

ER -

## References

top- K. B. Haley, 10.1287/opre.11.3.368, Opns. Res. 11, 1963, p. 368. (1963) Zbl0121.14604DOI10.1287/opre.11.3.368
- J. Morávek M. Vlach, On the Necessary Conditions for the Existence of the Solution of Multi-Index Transportation Problem, Opns. Res. 15 (1967). (1967) Zbl0171.17805
- K. B. Haley, A Note to the paper by Moravek and Vlach, Opns. Res. 15 (1967), str. 545-546. (1967)

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