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An Integer Nonlinear Goal Programming Model for the Deployment of State Highway Patrol Units

Author

Listed:
  • Bernard W. Taylor, III

    (Department of Management Science, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061)

  • Laurence J. Moore

    (Department of Management Science, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061)

  • Edward R. Clayton

    (Department of Management Science, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061)

  • K. Roscoe Davis

    (Department of Management Science, University of Georgia, Athens, Georgia 30602)

  • Terry R. Rakes

    (Department of Management Science, University of South Carolina, Columbia, South Carolina 29208)

Abstract

A number of models have been developed in recent years for the allocation and deployment of urban police units. However, these models are not directly applicable to the state highway patrol counterparts. Although urban police and the state highway patrol are both law enforcement agencies, an urban police force typically operates by reacting to crimes already committed (i.e., a reactive mode of operation) while the state highway patrol attempts to maintain a visible presence to prevent infractions (i.e., a proactive mode of operation). This paper describes a modeling approach that can be used to deploy state highway patrol cars to the road segments comprising a highway patrol district. Specifically, an integer nonlinear goal programming model is described and demonstrated within the context of a hypothetical case example. The model reflects the fact that the relationships between unit deployment and performance measures are often nonlinear---as additional patrol units are assigned to a road segment, performance will increase but at a decreasing rate. The model's goal constraints reflect the proactive nature of patrol deployment. The model is solved using a modified multi-criteria pattern/gradient search technique, and the results are analyzed to test their sensitivity to goal levels and priority structures.

Suggested Citation

  • Bernard W. Taylor, III & Laurence J. Moore & Edward R. Clayton & K. Roscoe Davis & Terry R. Rakes, 1985. "An Integer Nonlinear Goal Programming Model for the Deployment of State Highway Patrol Units," Management Science, INFORMS, vol. 31(11), pages 1335-1347, November.
    • Handle: RePEc:inm:ormnsc:v:31:y:1985:i:11:p:1335-1347
    DOI: 10.1287/mnsc.31.11.1335
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    Cited by:

    1. 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.
    2. Kyle Y. Lin & Michael P. Atkinson & Timothy H. Chung & Kevin D. Glazebrook, 2013. "A Graph Patrol Problem with Random Attack Times," Operations Research, INFORMS, vol. 61(3), pages 694-710, June.
    3. Kyle Y. Lin & Michael P. Atkinson & Kevin D. Glazebrook, 2014. "Optimal patrol to uncover threats in time when detection is imperfect," Naval Research Logistics (NRL), John Wiley & Sons, vol. 61(8), pages 557-576, December.
    4. N C Simpson & P G Hancock, 2009. "Fifty years of operational research and emergency response," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 126-139, May.
    5. Lei, Chao & Zhang, Qian & Ouyang, Yanfeng, 2017. "Planning of parking enforcement patrol considering drivers’ parking payment behavior," Transportation Research Part B: Methodological, Elsevier, vol. 106(C), pages 375-392.

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