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A Comparison of the Multiple Dispatch and M/M/c Priority Queueing Models of Police Patrol

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Author Info

  • Linda Green

    (Graduate School of Business, Columbia University, New York, New York 10027)

  • Peter Kolesar

    (Graduate School of Business, Columbia University, New York, New York 10027)

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    Abstract

    In many cities, a substantial fraction of calls for police service require more than one patrol car. We compare Green's multiple dispatch queueing model to several M/M/c-based approximations for multiple car dispatching that are obtained by adjusting the parameters. We found that none of the approximate models yields consistently reliable results under a broad range of conditions. The best approximations are produced by reducing the actual number of servers. Increasing the call rate gives the worst results.

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    File URL: http://dx.doi.org/10.1287/mnsc.30.6.665
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    Bibliographic Info

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 30 (1984)
    Issue (Month): 6 (June)
    Pages: 665-670

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    Handle: RePEc:inm:ormnsc:v:30:y:1984:i:6:p:665-670

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    Related research

    Keywords: queues: multi-channel; queues: priority; queues: approximations; government: services; police;

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    Cited by:
    1. Hall, Randolph W., 2002. "Incident dispatching, clearance and delay," Transportation Research Part A: Policy and Practice, Elsevier, vol. 36(1), pages 1-16, January.
    2. Hall, Randolph, 2000. "Incident Dispatching, Clearance and Delay," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt2pp689vn, Institute of Transportation Studies, UC Berkeley.
    3. Hall, Randolph W., 2001. "Incident Management: Process Analysis and Improvement," Institute of Transportation Studies, Research Reports, Working Papers, Proceedings qt1jf6j37t, Institute of Transportation Studies, UC Berkeley.

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