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Smith, Graham
On the Morávek and Vlach conditions for the existence of a solution to the multi-index problem. (English). Aplikace matematiky, vol. 20 (1975), issue 6, pp. 432-435
MSC: 90C05 | MR 0446492 | Zbl 0323.90030 | DOI: 10.21136/AM.1975.103610
Summary:
The smallest prossible example of a 3 index multi-index problem which satisfies the 1967 Morávek and Vlach conditions but does not have a solution is given.
References:
[1] K. B. Haley: Note on the Letter by Morávek and Vlach. Opns. Res. 15 (1967), 545-546. DOI 10.1287/opre.15.3.545
[2] J. Morávek M. Vlach: On the Necessary Conditions for the Existence of a Solution to the Multi-index Problem. Opns. Res. 15 (1967), 542-545. DOI 10.1287/opre.15.3.542
[3] J. Morávek M. Vlach: On Necessary Conditions for a Class of Systems of Linear Inequalities. Aplikace Matematiky 13 (1968), 299-303. MR 0240119
[4] G. Smith: Further Necessary Conditions for the Existence of a Solution to the Multi-Index Problem. Opns. Res. 21 (1973), 380-386. DOI 10.1287/opre.21.1.380 | MR 0373592 | Zbl 0259.90021
[5] G. Smith: A Procedure for Determining Necessary and Sufficient Conditions for the Existence of a Solution to the Multi-Index Problem. Aplikace Matematiky 19 (1974), 177-183. MR 0349219 | Zbl 0284.90056
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