Mathematical Properties of Formulations ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Mathematical Properties of Formulations of the Gas Transmission Problem
Auteur(s) :
De Wolf, Daniel [Auteur]
Territoires, Villes, Environnement & Société - ULR 4477 [TVES]
Université du Littoral Côte d'Opale [ULCO]
Territoires, Villes, Environnement & Société - ULR 4477 [TVES]
Université du Littoral Côte d'Opale [ULCO]
Titre de la revue :
TEHNIČKI GLASNIK
Pagination :
133 - 137
Éditeur :
University North Koprivnica
Date de publication :
2017
ISSN :
1846-6168
Mot(s)-clé(s) en anglais :
OR in natural resources: natural gas
variational inequalities theory: applied to prove convexity
convexity: sufficient conditions for
variational inequalities theory: applied to prove convexity
convexity: sufficient conditions for
Discipline(s) HAL :
Sciences de l'Homme et Société/Gestion et management
Résumé en anglais : [en]
The paper presents the mathematical properties of several formulations for the gas transmission problem that account for the nonlinear flow pressure relations. The form of the nonlinear flow pressure relations is such that ...
Lire la suite >The paper presents the mathematical properties of several formulations for the gas transmission problem that account for the nonlinear flow pressure relations. The form of the nonlinear flow pressure relations is such that the model is in general nonconvex. However, we show here that under a restrictive condition (gas inlet or gas pressure fixed at every entry/outgoing node) the problem becomes convex. This result is obtained by use of the variational inequality theory. We also give a computational method to find a feasible solution to the problem and give a physical interpretation to this feasible solution.Lire moins >
Lire la suite >The paper presents the mathematical properties of several formulations for the gas transmission problem that account for the nonlinear flow pressure relations. The form of the nonlinear flow pressure relations is such that the model is in general nonconvex. However, we show here that under a restrictive condition (gas inlet or gas pressure fixed at every entry/outgoing node) the problem becomes convex. This result is obtained by use of the variational inequality theory. We also give a computational method to find a feasible solution to the problem and give a physical interpretation to this feasible solution.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Source :
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