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Analysis of an integrated maximum covering and patrol routing problem

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  • Keskin, Burcu B.
  • Li, Shirley (Rong)
  • Steil, Dana
  • Spiller, Sarah

Abstract

In this paper, we address the problem of determining the patrol routes of state troopers for maximum coverage of highway spots with high frequencies of crashes (hot spots). We develop a specific mixed integer linear programming model for this problem under time feasibility and budget limitation. We solve this model using local and tabu-search based heuristics. Via extensive computational experiments using randomly generated data, we test the validity of our solution approaches. Furthermore, using real data from the state of Alabama, we provide recommendations for (i) critical levels of coverage; (ii) factors influencing the service measures; and (iii) dynamic changes in routes.

Suggested Citation

  • Keskin, Burcu B. & Li, Shirley (Rong) & Steil, Dana & Spiller, Sarah, 2012. "Analysis of an integrated maximum covering and patrol routing problem," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(1), pages 215-232.
    • Handle: RePEc:eee:transe:v:48:y:2012:i:1:p:215-232
    DOI: 10.1016/j.tre.2011.07.005
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    References listed on IDEAS

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    Cited by:

    1. Arlen Guarín & Andrés Ramírez Hassan & Juan G. Villegas, 2015. "Fast reaction police units in Medellín: A budget-constrained maximal homicide covering location approach," Borradores de Economia 908, Banco de la Republica de Colombia.
    2. Dewil, R. & Vansteenwegen, P. & Cattrysse, D. & Van Oudheusden, D., 2015. "A minimum cost network flow model for the maximum covering and patrol routing problem," European Journal of Operational Research, Elsevier, vol. 247(1), pages 27-36.
    3. Paul A. Chircop & Timothy J. Surendonk & Menkes H. L. van den Briel & Toby Walsh, 2022. "On routing and scheduling a fleet of resource-constrained vessels to provide ongoing continuous patrol coverage," Annals of Operations Research, Springer, vol. 312(2), pages 723-760, May.
    4. 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.
    5. Freeman, Nickolas K. & Keskin, Burcu B. & Çapar, İbrahim, 2018. "Attractive orienteering problem with proximity and timing interactions," European Journal of Operational Research, Elsevier, vol. 266(1), pages 354-370.
    6. Burcu B. Keskin & Gregory J. Bott & Nickolas K. Freeman, 2021. "Cracking Sex Trafficking: Data Analysis, Pattern Recognition, and Path Prediction," Production and Operations Management, Production and Operations Management Society, vol. 30(4), pages 1110-1135, April.
    7. Ran Wei, 2016. "Coverage Location Models," International Regional Science Review, , vol. 39(1), pages 48-76, January.
    8. Ramon Auad & Rajan Batta, 2017. "Location-coverage models for preventing attacks on interurban transportation networks," Annals of Operations Research, Springer, vol. 258(2), pages 679-717, November.
    9. Timothy J. Surendonk & Paul A. Chircop, 2020. "On the computational complexity of the patrol boat scheduling problem with complete coverage," Naval Research Logistics (NRL), John Wiley & Sons, vol. 67(4), pages 289-299, June.
    10. Xiuqiao Sun & Jian Wang & Weitiao Wu & Wenjia Liu, 2018. "Genetic Algorithm for Optimizing Routing Design and Fleet Allocation of Freeway Service Overlapping Patrol," Sustainability, MDPI, vol. 10(11), pages 1-15, November.
    11. Chen, Xinyuan & Wu, Shining & Liu, Yannick & Wu, Weiwei & Wang, Shuaian, 2022. "A patrol routing problem for maritime Crime-Fighting," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 168(C).

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