| Title:
|
On necessary conditions for a class of systems of linear inequalities (English) |
| Author:
|
Morávek, Jaroslav |
| Author:
|
Vlach, Milan |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
13 |
| Issue:
|
4 |
| Year:
|
1968 |
| Pages:
|
299-303 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
linear algebra |
| MSC:
|
15-50 |
| idZBL:
|
Zbl 0165.34601 |
| idMR:
|
MR0240119 |
| DOI:
|
10.21136/AM.1968.103176 |
| . |
| Date available:
|
2008-05-20T17:42:54Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103176 |
| . |
| Reference:
|
[1] K. B. Haley: The Multi-Index Problem.Opns. Res. 11, 1963, p. 368. Zbl 0121.14604, 10.1287/opre.11.3.368 |
| Reference:
|
[2] J. Morávek M. Vlach: On the Necessary Conditions for the Existence of the Solution of Multi-Index Transportation Problem.Opns. Res. 15 (1967). |
| Reference:
|
[3] K. B. Haley: A Note to the paper by Moravek and Vlach.Opns. Res. 15 (1967), str. 545-546. |
| . |
