Location Methods and Nash Equilibria for Experimental Design in Astrophysics and Aerospace Engineering
| Autor: | Pierluigi De Paolis, Alessandro d’Argenio, Elia Daniele, Gian Luca Greco |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Computer Science::Computer Science and Game Theory
Engineering business.product_category business.industry Design of experiments Astrophysics Mathematical proof Facility location problem Airplane Numerical methodology Set (abstract data type) symbols.namesake Flight envelope Nash equilibrium symbols Aerospace engineering business |
| Zdroj: | Springer Optimization and Its Applications ISBN: 9783319526539 |
| DOI: | 10.1007/978-3-319-52654-6_4 |
| Popis: | In this chapter we present a survey of location methods based on Nash equilibria for the design of experiments. The solution of the location problem is given in the bi-dimensional case by means of a potential formulation and a Nash game. The most important definitions and proofs are reported. Two main application fields are employed to stress the capability of an ad hoc numerical methodology involved in the solution of the location problem. The first one refers to optimal (constrained) location of sensors collecting cosmic rays for astrophysics experiments. The second one concerns the design of experiment in aerospace engineering related to set of flight tests within the flight envelope of an airplane. An outlook on location-allocation problem in economics is considered for a linear city with congestion in the conclusions. |
| Databáze: | OpenAIRE |
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