The design variables of an experiment is modelled as a facility location problem: we consider the case where the design variables are the coordinates of n points in a region of the plane and we look for the optimal configuration of the points under some constraints. In this paper we present a non-cooperative game theoretical model for the problem of experimental design: n virtual players decide the location of a point in the admissible region optimizing a pay-off function. The Nash equilibrium solutions will be the optimal solution of the design variables problem. The resulting game has nice properties, so that a computational procedure is performed by using genetic algorithm approach, together with some existence results.
Location methods in experimental design / Mallozzi, Lina; E., D'Amato; E., Daniele. - 14:(2014), pp. 431-448. [10.1007/978-1-4939-1124-0_14]
Location methods in experimental design
MALLOZZI, LINA;
2014
Abstract
The design variables of an experiment is modelled as a facility location problem: we consider the case where the design variables are the coordinates of n points in a region of the plane and we look for the optimal configuration of the points under some constraints. In this paper we present a non-cooperative game theoretical model for the problem of experimental design: n virtual players decide the location of a point in the admissible region optimizing a pay-off function. The Nash equilibrium solutions will be the optimal solution of the design variables problem. The resulting game has nice properties, so that a computational procedure is performed by using genetic algorithm approach, together with some existence results.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
