Search-Trajectory Optimization: Part II, Algorithms and Computations

Joseph Foraker (), Johannes O. Royset () and Isaac Kaminer ()
Additional contact information
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 10, 550-567

Abstract: Abstract We implement and solve a search-trajectory optimization problem originally formulated in our companion paper, with multiple searchers looking for multiple targets in continuous time and space. The problem minimizes the probability that all of the searchers fail to detect any of the targets during a planning horizon. We develop an implementable algorithm that converges to stationary points of the original infinite-dimensional problem. Numerical tests illustrate the approach in a naval scenario with up to three searchers protecting a capital ship from ten attackers in go-fast boats.

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
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10957-015-0770-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:169:y:2016:i:2:d:10.1007_s10957-015-0770-4

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-015-0770-4

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().