### Abstract

Language | English |
---|---|

Pages | 1246-1257 |

Number of pages | 12 |

Journal | Operations Research |

Volume | 59 |

Issue number | 5 |

DOIs | |

Publication status | Published - Sep 2011 |

### Fingerprint

### Keywords

- decision analysis
- networks/graphs
- risk analysis
- military games

### Cite this

*Operations Research*,

*59*(5), 1246-1257. https://doi.org/10.1287/opre.1110.0983

}

*Operations Research*, vol. 59, no. 5, pp. 1246-1257. https://doi.org/10.1287/opre.1110.0983

**Patrolling games.** / Alpern, Steve; Morton, Alec; Papadaki, Katerina.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Patrolling games

AU - Alpern, Steve

AU - Morton, Alec

AU - Papadaki, Katerina

PY - 2011/9

Y1 - 2011/9

N2 - 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.

AB - 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.

KW - decision analysis

KW - networks/graphs

KW - risk analysis

KW - military games

UR - http://or.journal.informs.org/

U2 - 10.1287/opre.1110.0983

DO - 10.1287/opre.1110.0983

M3 - Article

VL - 59

SP - 1246

EP - 1257

JO - Operations Research

T2 - Operations Research

JF - Operations Research

SN - 0030-364X

IS - 5

ER -