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
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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.
@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},
year = {2021},
volume = {71},
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 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 %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
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