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Existence of optimal strategies for a fire confinement problem

✍ Scribed by Alberto Bressan; Camillo De Lellis

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
365 KB
Volume
62
Category
Article
ISSN
0010-3640

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✦ Synopsis

Abstract

We consider a class of variational problems for differential inclusions related to the control of forest fires. The area burned by the fire at time t > 0 is modeled as the reachable set for a differential inclusion αΊ‹ ∈ F(x) starting from an initial set R~0~. To block the fire, a barrier can be constructed progressively in time at a given speed. In this paper we prove the existence of an optimal strategy, which minimizes the value of the area destroyed by the fire plus the cost of constructing the barrier. Β© 2008 Wiley Periodicals, Inc.

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