Multi-objective Design Strategies Using Deterministic Optimization with Different Parameterizations in Aerodynamics
نویسندگان
چکیده
There are currently three different game strategies to solve multi-criteria design problems: 1) Cooperative Games (Pareto Front), 2) Competitive Games (Nash Game) and 3) Hierarchical Games (Stackelberg Game). Nowadays EAs and Pareto front concept are more and more in solving practical design problems in industry, but this process is time consuming. Here, deterministic optimization method and Pareto front concept are combined to offer a cheap alternative to EAs, which was implemented by combining multiobjective functions using weighting constants into a single objective function. Finally, we have also computed both Nash and Stackelberg equilibria of the optimization problem with two conflicting and hierarchical targets under different parameterizations using the deterministic optimization method. The numerical results show clearly that all the equilibria solutions lie within the Pareto surface. The non-dominated Pareto Front are obtained, this is due to the factor that the best non-dominated solution by cooperative strategy however the CPU cost to capture a set of solutions makes the Pareto Front an expensive to the designer Engineer.
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