Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients - Territoires, Villes, Environnement, Société Accéder directement au contenu
Article Dans Une Revue European Journal of Operational Research Année : 2021

Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients

Résumé

We present here a characterization of the Clarke subdifferential of the optimal value function of a linear program as a function of matrix coefficients. We generalize the result of Freund (1985) to the cases where derivatives may not be defined because of the existence of multiple primal or dual solutions.
Fichier principal
Vignette du fichier
MatrixSens-EJOR-v3.pdf (393.78 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

halshs-02396708 , version 1 (06-12-2019)
halshs-02396708 , version 2 (20-04-2021)

Licence

Domaine public

Identifiants

Citer

Daniel de Wolf, Yves Smeers. Generalized derivatives of the optimal value of a linear program with respect to matrix coefficients. European Journal of Operational Research, 2021, European Journal of Operational Research, Volume 291 (Issue 2), pp.Pages 491-496. ⟨10.1016/j.ejor.2019.11.020⟩. ⟨halshs-02396708v1⟩
117 Consultations
1215 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More