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Location Methods in Experimental Design

In: Mathematics Without Boundaries

Author

Listed:
  • 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)

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.

Suggested Citation

  • L. Mallozzi & E. D’Amato & E. Daniele, 2014. "Location Methods in Experimental Design," Springer Books, in: Panos M. Pardalos & Themistocles M. Rassias (ed.), Mathematics Without Boundaries, edition 127, pages 429-446, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4939-1124-0_14
    DOI: 10.1007/978-1-4939-1124-0_14
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