Couplings in Multi-criterion Aerodynamic Optimization Problems Using Adjoint Methods and Game Strategies
查看参考文献19篇
文摘
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The tighten couplings of game strategies with adjoint methods for multi-criterion aerodynamic design optimization are addressed. Its numerical implementation is also described in details. In cooperative game, adjoint methods are coupled in parallel to compute Pareto front collaboratively. Conversely in a Nash game, adjoint methods are coupled in each player's decision making to achieve Nash equilibrium competitively. In Stackelberg game, adjoint methods used by players are nested hierarchically through incomplete and complete decisions of the leader and followers respectively. Several design examples illustrate the efficiency of the coupling algorithms for multi-criterion aerodynamic design optimization problems. |
来源
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Chinese Journal of Aeronautics
,2009,22(1):1-8 【核心库】
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DOI
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10.1016/s1000-9361(08)60062-x
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关键词
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multi-criterion optimization
;
aerodynamics
;
adjoint methods
;
game strategies
;
Nash game
;
Stackelberg game
;
Pareto front
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地址
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1.
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, 江苏, 南京, 210016
2.
Chinese Aerodynamic Research Institute on Aeronautics, 辽宁, 沈阳, 110034
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语种
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英文 |
文献类型
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研究性论文 |
ISSN
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1000-9361 |
学科
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航空 |
基金
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国家自然科学基金
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文献收藏号
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CSCD:3652764
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参考文献 共
19
共1页
|
1.
Basar T.
Dynamic non-cooperative game theory,1995
|
CSCD被引
3
次
|
|
|
|
2.
Ehtanzo H. Incentive strategies and equilibria for dynamic games with delayed information.
Journal of Optimization Theory and Applications,1989,63(3):355-370
|
CSCD被引
2
次
|
|
|
|
3.
Ehtanzo H. A cooperative incentive equilibrium for a resource management problem.
Journal of Economic Dynamics and Control,1993,17(4):659-678
|
CSCD被引
2
次
|
|
|
|
4.
Osborne M J.
A course in game theory,1997
|
CSCD被引
2
次
|
|
|
|
5.
Cohon J L.
Multi-objective programming and planning,1978
|
CSCD被引
4
次
|
|
|
|
6.
Deb K.
Multi objective optimization using evolutionary algorithms,2001
|
CSCD被引
3
次
|
|
|
|
7.
Nash J F. Non-cooperative games.
ANNALS OF MATHEMATICS,1951,54(2):286-295
|
CSCD被引
167
次
|
|
|
|
8.
Jameson A. Aerodynamic design via control theory.
Journal of Scientific Computing,1988,3(3):233-260
|
CSCD被引
101
次
|
|
|
|
9.
Tang Z L. Constrained optimum control theory:applications to aerodynamic design.
Chinese Journal of Theoretical and Applied Mechanics,2007,39(2):273-277
|
CSCD被引
1
次
|
|
|
|
10.
Tang Z L. Multi-objective Optimization Strategies Using Adjoint Method and Game Theory in Aerodynamics.
Aata Mechanica Sinica,2006,22(4):307-314
|
CSCD被引
2
次
|
|
|
|
11.
Periaux J.
Multi-objective inverse problem in aerodynamics using adjoint method and game theory.WCCM VI,2004:1-20
|
CSCD被引
1
次
|
|
|
|
12.
Tang Z L. Multicriteria aerodynamic shape design optimization and inverse problems using control theory and Nash games.
Journal of Optimization Theory and Applications,2007,135(3):599-622
|
CSCD被引
1
次
|
|
|
|
13.
Tang Z L. Distributed optimization using virtual and real game strategies for multi-criterion aerodynamic design.
Science in China. Series E (in English),2008,51(11):1939-1956
|
CSCD被引
1
次
|
|
|
|
14.
Tang Z L. Multi criteria robust design using adjoint methods and game strategies for solving drag optimization problems with uncertainties.
West-East High Speed Flow Field Conference (WEHSFF05),2005:19-22
|
CSCD被引
1
次
|
|
|
|
15.
Marco N.
Multi-objective optimization in CFD by genetic algorithms[INR1A report No.3686],1999
|
CSCD被引
1
次
|
|
|
|
16.
Hu S X. Distributed optimization using virtual and real game strategies for aerodynamic multi-objective design.
Acta Aeronautica et Astronautica Sinica,2004,25(4):321-326
|
CSCD被引
1
次
|
|
|
|
17.
Tang Z L. Multi-objective shape design in aerodynamics using game strategy.
Transactions of Nanjing University of Aeronautics and Astronautics,2005,22(3):195-199
|
CSCD被引
1
次
|
|
|
|
18.
Sobol I M. An efficient approach to multi-criterion optimization design problems.
Surveys on Mathematics for Industry,1992,1:259-281
|
CSCD被引
1
次
|
|
|
|
19.
Tang Z L.
On couplings in multi-criterion aerodynamic design optimization problems using adjoint methods and game strategies (abstract).Coupled Problem 2007-Computational Methods for Coupled Problem in Science and Engineering,2007
|
CSCD被引
1
次
|
|
|
|
|