A bilevel game theoretic approach to optimum design of flywheels

Multiobjective optimization problems arise frequently in mechanical design. One approach to solving these types of problems is to use a game theoretic formulation. This article illustrates the application of a bilevel, leader-follower model for solving an optimum design problem. In particular, the o...

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Bibliographic Details
Published in:Engineering optimization 2012-11, Vol.44 (11), p.1337-1350
Main Authors: Ghotbi, Ehsan, Dhingra, Anoop K.
Format: Article
Language:English
Subjects:
Design engineering
Design optimization
Flywheels
Followers
Game theory
Kinetics
Manufacturing costs
Mathematical analysis
Mathematical models
multiobjective optimization
Optimization
Partitioning
sensitivity analysis
Variables
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Summary:Multiobjective optimization problems arise frequently in mechanical design. One approach to solving these types of problems is to use a game theoretic formulation. This article illustrates the application of a bilevel, leader-follower model for solving an optimum design problem. In particular, the optimization problem is modelled as a Stackelberg game. The partitioning of variables between the leader and follower problem is discussed and a variable partitioning metric is introduced to compare various variable partitions. A computational procedure based on variable updating using sensitivity information is developed for exchanging information between the follower and leader problems. The proposed approach is illustrated through the design of a flywheel. The two objective functions used for the design problem include maximizing the kinetic energy stored in the flywheel while simultaneously minimizing the manufacturing cost.
ISSN:0305-215X
1029-0273
DOI:10.1080/0305215X.2011.637557