4Search Theory: A Differential Equations Approach

MARC MANGEL / Departments of Mathematics, Agricultural Economics, and Entomology, University of California, Davis, California

DOI: 10.1201/9781003420057-4

In this chapter, search problems are approached from the viewpoint of differential equations. This leads to models for target motion based on ordinary or stochastic differential equations and to partial differential equations for quantities such as the density for target location and unsuccessful search or the probability of nondetection. Various kinds of approximate techniques (ray methods) are introduced for the solution of these problems. Problems of optimal search become, with this point of view, problems in the control of partial differential ...

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