In this paper we present a noncooperative game theoretical model for the well known problem of experimental design. Nash equilibrium solution of a suitable game will be the optimal values of the design variables, given by the coordinates of points in a region in the spirit of the facility location model. Because of the dependency of the objective functions on the distance from the domain’s boundary, this problem have a strong analogy with the classical sphere packing problem. Theoretical and computational results are presented for this location problem by virtue of a genetic algorithm procedure for both 2 and 3-dimensional test cases.
Experimental design problems and nash equilibrium solutions
D'AMATO, EGIDIO;
2014-01-01
Abstract
In this paper we present a noncooperative game theoretical model for the well known problem of experimental design. Nash equilibrium solution of a suitable game will be the optimal values of the design variables, given by the coordinates of points in a region in the spirit of the facility location model. Because of the dependency of the objective functions on the distance from the domain’s boundary, this problem have a strong analogy with the classical sphere packing problem. Theoretical and computational results are presented for this location problem by virtue of a genetic algorithm procedure for both 2 and 3-dimensional test cases.File in questo prodotto:
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