Geodesic
Prioritized optimization by Nash games : towards an adaptive multi-objective strategy - Application to aircraft sizing for optimal flight performance
Jean-Antoine Désidéri1 ; Régis Duvigneau1
1 Université Côte d’Azur, Inria, CNRS, LJAD, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France)
ESAIM. Proceedings, Tome 71 (2021), pp. 54-63.

Voir la notice de l'article provenant de la source EDP Sciences

This work is part of the development of a two-phase multi-objective differentiable optimization method. The first phase is classical: it corresponds to the optimization of a set of primary cost functions, subject to nonlinear equality constraints, and it yields at least one known Pareto-optimal solution . This study focuses on the second phase, which is introduced to permit to reduce another set of cost functions, considered as secondary, by the determination of a continuum of Nash equilibria, , in a way such that: firstly, (compatibility), and secondly, for ε sufficiently small, the Pareto-optimality condition of the primary cost functions remains O(ε2), whereas the secondary cost functions are linearly decreasing functions of ε. The theoretical results are recalled and the method is applied numerically to a Super-Sonic Business Jet (SSBJ) sizing problem to optimize the flight performance.
DOI : 10.1051/proc/202171106

Jean-Antoine Désidéri 1 ; Régis Duvigneau 1

1 Université Côte d’Azur, Inria, CNRS, LJAD, 2004 Route des Lucioles, BP 93, 06902 Sophia Antipolis Cedex (France) 
@article{EP_2021_71_a6,
     author = {Jean-Antoine D\'esid\'eri and R\'egis Duvigneau},
     title = {Prioritized optimization by {Nash} games : towards an adaptive multi-objective strategy - {Application} to aircraft sizing for optimal flight performance},
     journal = {ESAIM. Proceedings},
     pages = {54--63},
     publisher = {mathdoc},
     volume = {71},
     year = {2021},
     doi = {10.1051/proc/202171106},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/202171106/}
}
TY  - JOUR
AU  - Jean-Antoine Désidéri
AU  - Régis Duvigneau
TI  - Prioritized optimization by Nash games : towards an adaptive multi-objective strategy - Application to aircraft sizing for optimal flight performance
JO  - ESAIM. Proceedings
PY  - 2021
SP  - 54
EP  - 63
VL  - 71
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc/202171106/
DO  - 10.1051/proc/202171106
LA  - en
ID  - EP_2021_71_a6
ER  - 
%0 Journal Article
%A Jean-Antoine Désidéri
%A Régis Duvigneau
%T Prioritized optimization by Nash games : towards an adaptive multi-objective strategy - Application to aircraft sizing for optimal flight performance
%J ESAIM. Proceedings
%D 2021
%P 54-63
%V 71
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc/202171106/
%R 10.1051/proc/202171106
%G en
%F EP_2021_71_a6
Jean-Antoine Désidéri; Régis Duvigneau. Prioritized optimization by Nash games : towards an adaptive multi-objective strategy - Application to aircraft sizing for optimal flight performance. ESAIM. Proceedings, Tome 71 (2021), pp. 54-63. doi : 10.1051/proc/202171106. http://geodesic.mathdoc.fr/articles/10.1051/proc/202171106/

Cité par Sources :