Multiobjective Optimization of Structures With/without Control


In this paper, a new optimization algorithm based on game theory is developed. The basic idea of this approach is to support the decision-maker by directly selecting the best compromise solution from the Pareto optimal solutions. First, a pay-off matrix is constructed by optimizing each objective function subject to the given constraints. Then a substitute function is formed. Under the original constraint conditions, maximizing the substitute function gives the best compromise solution. Comparing other algorithms of the game theory, the method is easy to handle and saves a lot of computational effort. Besides, the effect of different objective functions on the structural design is investigated. This research shows that multiobjective optimization should be carried out to obtain a rational structural design. Two structural optimal design examples - one frame structure and one frame structure with active control - illustrate the application of the approach. Numerical results show that the rational compromise solutions are achieved by multiobjective optimization procedure.


Civil, Architectural and Environmental Engineering

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Article - Conference proceedings

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Publication Date

01 Jan 1994