Search-Trajectory Optimization: Part I, Formulation and Theory

Joseph Foraker (), Johannes O. Royset () and Isaac Kaminer ()
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Joseph Foraker: U.S. Naval Academy
Johannes O. Royset: Naval Postgraduate School
Isaac Kaminer: Naval Postgraduate School

Journal of Optimization Theory and Applications, 2016, vol. 169, issue 2, No 9, 530-549

Abstract: Abstract We formulate a search-trajectory optimization problem, with multiple searchers looking for multiple targets in continuous time and space, as a parameter-distributed optimal control model. The problem minimizes the probability that all of the searchers fail to detect any of the targets during a planning horizon. We construct discretization schemes and prove that they lead to consistent approximations in the sense of E. Polak.

Keywords: Search theory; Continuous time-and-space search; Consistent approximations; Parameter-distributed optimal control; Force protection; 49K15; 49M15; 49M25 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-015-0768-y

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