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Patrol scheduling in urban rail network

Author

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  • Hoong Chuin Lau

    (Singapore Management University)

  • Zhi Yuan

    (Singapore Management University)

  • Aldy Gunawan

    (Singapore Management University)

Abstract

This paper presents the problem of scheduling security teams to patrol a mass rapid transit rail network of a large urban city. The main objective of patrol scheduling is to deploy security teams to stations of the network at varying time periods subject to rostering as well as security-related constraints. We present several mathematical programming models for different variants of this problem. To generate randomized schedules on a regular basis, we propose injecting randomness by varying the start time and break time for each team as well as varying the visit frequency and visit time for each station according to their reported vulnerability. Finally, we present results for the case of Singapore mass rapid transit rail network and synthetic instances.

Suggested Citation

  • Hoong Chuin Lau & Zhi Yuan & Aldy Gunawan, 2016. "Patrol scheduling in urban rail network," Annals of Operations Research, Springer, vol. 239(1), pages 317-342, April.
    • Handle: RePEc:spr:annopr:v:239:y:2016:i:1:d:10.1007_s10479-014-1648-9
    DOI: 10.1007/s10479-014-1648-9
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    References listed on IDEAS

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    1. Philip E. Taylor & Stephen J. Huxley, 1989. "A Break from Tradition for the San Francisco Police: Patrol Officer Scheduling Using an Optimization-Based Decision Support System," Interfaces, INFORMS, vol. 19(1), pages 4-24, February.
    2. Maenhout, Broos & Vanhoucke, Mario, 2010. "A hybrid scatter search heuristic for personalized crew rostering in the airline industry," European Journal of Operational Research, Elsevier, vol. 206(1), pages 155-167, October.
    3. Manish Jain & Jason Tsai & James Pita & Christopher Kiekintveld & Shyamsunder Rathi & Milind Tambe & Fernando Ordóñez, 2010. "Software Assistants for Randomized Patrol Planning for the LAX Airport Police and the Federal Air Marshal Service," Interfaces, INFORMS, vol. 40(4), pages 267-290, August.
    4. Lazar Babu, Vellara L. & Batta, Rajan & Lin, Li, 2006. "Passenger grouping under constant threat probability in an airport security system," European Journal of Operational Research, Elsevier, vol. 168(2), pages 633-644, January.
    5. Kevin Curtin & Karen Hayslett-McCall & Fang Qiu, 2010. "Determining Optimal Police Patrol Areas with Maximal Covering and Backup Covering Location Models," Networks and Spatial Economics, Springer, vol. 10(1), pages 125-145, March.
    6. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    7. A Gunawan & H C Lau, 2013. "Master physician scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 64(3), pages 410-425, March.
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    Citations

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    Cited by:

    1. Abdolmajid Yolmeh & Melike Baykal-Gürsoy, 2018. "Urban rail patrolling: a game theoretic approach," Journal of Transportation Security, Springer, vol. 11(1), pages 23-40, June.
    2. Sukanya Samanta & Goutam Sen & Soumya Kanti Ghosh, 2022. "A literature review on police patrolling problems," Annals of Operations Research, Springer, vol. 316(2), pages 1063-1106, September.
    3. Julio B. Clempner, 2018. "Computing multiobjective Markov chains handled by the extraproximal method," Annals of Operations Research, Springer, vol. 271(2), pages 469-486, December.
    4. Hui Xu & Liudan Jiao & Shulin Chen & Milan Deng & Ningxin Shen, 2018. "An Innovative Approach to Determining High-Risk Nodes in a Complex Urban Rail Transit Station: A Perspective of Promoting Urban Sustainability," Sustainability, MDPI, vol. 10(7), pages 1-17, July.
    5. Xizi Qiao & Ying Yang & Yu Guo & Yong Jin & Shuaian Wang, 2024. "Optimal Routing and Scheduling of Flag State Control Officers in Maritime Transportation," Mathematics, MDPI, vol. 12(11), pages 1-23, May.
    6. Jaime Miranda & Pablo A. Rey & Antoine Sauré & Richard Weber, 2018. "Metro Uses a Simulation-Optimization Approach to Improve Fare-Collection Shift Scheduling," Interfaces, INFORMS, vol. 48(6), pages 529-542, November.
    7. Baofeng Sun & Jiaojiao Liu & Junyi Hao & Xiuxiu Shen & Xinhua Mao & Xianmin Song, 2020. "Maintenance Decision-Making of an Urban Rail Transit System in a Regionalized Network-Wide Perspective," Sustainability, MDPI, vol. 12(22), pages 1-21, November.

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