The general problem of stability analysis in linear programming
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 164-167 Cet article a éte moissonné depuis la source Math-Net.Ru

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The set of all canonical linear programming problems is considered for which a specified vector is a nondegenerate supporting optimal solution, and also the set of all such problems for which perturbations of the linear form coefficients not exceeding a given number leave the optimal solution invariant.
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S. M. Shvartin. The general problem of stability analysis in linear programming. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 1, pp. 164-167. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_1_a17/

[1] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1979 | MR

[2] Ashmanov S. A., Lineinoe programmirovanie, Nauka, M., 1981 | Zbl

[3] Leontev V. K., “Ustoichivost v lineinykh diskretnykh zadachakh”, Probl. kibernetiki, 35, Nauka, M., 1979, 169–184 | MR

[4] Kozeratskaya L. N., Lebedeva T. T., Sergienko I. V., “Voprosy ustoichivosti, parametricheskii i postoptimalnyi analiz zadach diskretnoi optimizatsii”, Kibernetika, 1983, no. 4, 71–80 | MR | Zbl

[5] Golshtein E. G., Yudin D. B., Lineinoe programmirovanie, teoriya, metody, prilozheniya, Nauka, M., 1969