Nash equilibrium for a multiobjective control problem related to wastewater management
Néstor García-Chan; Rafael Muñoz-Sola; Miguel Ernesto Vázquez-Méndez
ESAIM: Control, Optimisation and Calculus of Variations (2009)
- Volume: 15, Issue: 1, page 117-138
- ISSN: 1292-8119
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topGarcía-Chan, Néstor, Muñoz-Sola, Rafael, and Vázquez-Méndez, Miguel Ernesto. "Nash equilibrium for a multiobjective control problem related to wastewater management." ESAIM: Control, Optimisation and Calculus of Variations 15.1 (2009): 117-138. <http://eudml.org/doc/250574>.
@article{García2009,
abstract = {
This paper is concerned with mathematical modelling in the management of a wastewater treatment system. The problem is formulated as looking for a Nash equilibrium of a multiobjective pointwise control problem of a
parabolic equation. Existence of solution is proved and a first order optimality system is obtained. Moreover, a numerical method to solve this system is detailed and numerical results are shown in a realistic situation posed in the estuary of Vigo (Spain).
},
author = {García-Chan, Néstor, Muñoz-Sola, Rafael, Vázquez-Méndez, Miguel Ernesto},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
keywords = {Optimal control; pointwise control; Nash equilibrium; existence; optimality conditions; numerical simulation; wastewater management; optimal control},
language = {eng},
month = {1},
number = {1},
pages = {117-138},
publisher = {EDP Sciences},
title = {Nash equilibrium for a multiobjective control problem related to wastewater management},
url = {http://eudml.org/doc/250574},
volume = {15},
year = {2009},
}
TY - JOUR
AU - García-Chan, Néstor
AU - Muñoz-Sola, Rafael
AU - Vázquez-Méndez, Miguel Ernesto
TI - Nash equilibrium for a multiobjective control problem related to wastewater management
JO - ESAIM: Control, Optimisation and Calculus of Variations
DA - 2009/1//
PB - EDP Sciences
VL - 15
IS - 1
SP - 117
EP - 138
AB -
This paper is concerned with mathematical modelling in the management of a wastewater treatment system. The problem is formulated as looking for a Nash equilibrium of a multiobjective pointwise control problem of a
parabolic equation. Existence of solution is proved and a first order optimality system is obtained. Moreover, a numerical method to solve this system is detailed and numerical results are shown in a realistic situation posed in the estuary of Vigo (Spain).
LA - eng
KW - Optimal control; pointwise control; Nash equilibrium; existence; optimality conditions; numerical simulation; wastewater management; optimal control
UR - http://eudml.org/doc/250574
ER -
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