Cookies?
Library Header Image
LSE Research Online LSE Library Services

Patrolling games

Alpern, Steven and Morton, Alec and Papadaki, Katerina (2011) Patrolling games. Operations Research, 59 (5). pp. 1246-1257. ISSN 0030-364X

[img]
Preview
PDF - Accepted Version
Download (409kB) | Preview

Identification Number: 10.1287/opre.1110.0983

Abstract

A key operational problem for those charged with the security of vulnerable facilities (such as airports or art galleries) is the scheduling and deployment of patrols. Motivated by the problem of optimizing randomized, and thus unpredictable, patrols, we present a class of patrolling games. The facility to be patrolled can be thought of as a network or graph Q of interconnected nodes (e.g., rooms, terminals), and the Attacker can choose to attack any node of Q within a given time T . He requires m consecutive periods there, uninterrupted by the Patroller, to commit his nefarious act (and win). The Patroller can follow any path on the graph. Thus, the patrolling game is a win-lose game, where the Value is the probability that the Patroller successfully intercepts an attack, given best play on both sides. We determine analytically either the Value of the game, or bounds on the Value, for various classes of graphs, and we discuss possible extensions and generalizations. Subject classifications: games; noncooperative; military, search/surveillance; decision analysis; risk; networks/graphs. Area of review: Military and Homeland Security. History: Received November 2009; revisions received March 2010, September 2010; accepted November 2010

Item Type: Article
Official URL: http://or.journal.informs.org/
Additional Information: © 2011 Insitute for operations research and the management sciences (INFORMS)research
Subjects: Q Science > QA Mathematics
U Military Science > U Military Science (General)
Sets: Research centres and groups > Management Science Group
Departments > Mathematics
Departments > Management
Collections > Economists Online
Research centres and groups > LSE Health
Date Deposited: 07 Feb 2011 14:39
Last Modified: 28 May 2015 16:56
URI: http://eprints.lse.ac.uk/id/eprint/32210

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics