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Régions de stabilité dans la programmation linéaire. (Stability regions in linear programming). (French) Zbl 0584.90054
The paper contains results about linear programming problems similar to those obtained by S. Zlobec [Apl. Mat. 27, 176-191 (1982; Zbl 0482.90073)] for the nonlinear case with respect to stability. Several results concerning the stability of the optimal value function in terms of pseudo-Lagrangians are given. The proofs are more constructive than those given by Zlobec for the nonlinear case: They enable us to give more precise bounds for the variation of the optimal value function.

MSC:
90C05 Linear programming
90C31 Sensitivity, stability, parametric optimization
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