Location Methods in Experimental Design

L. Mallozzi (), E. D’Amato () and E. Daniele ()
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L. Mallozzi: Università degli Studi di Napoli “Federico II”, Department of Mathematics and Applications
E. D’Amato: Seconda Università degli Studi di Napoli, Dipartimento di Ingegneria Industriale e dell’Informazione
E. Daniele: Ammerländer Heerstr. 136, Fraunhofer IWES Institut für Windenergie und Energiesystemtechnik

A chapter in Mathematics Without Boundaries, 2014, pp 429-446 from Springer

Abstract: Abstract The design variables of an experiment is modeled 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: each of n virtual players decides the location of a point in the admissible region optimizing a pay-off function. The Nash equilibrium solutions will be the optimal solutions of the design variables problem. The resulting game has nice properties, so that a computational procedure is performed by using genetic algorithm approach and some existence results are obtained.

Keywords: Nash Equilibrium; Location Problem; Facility Location; Facility Location Problem; Demand Point (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-1-4939-1124-0_14

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