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

Linda Green and Peter Kolesar
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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

Management Science, 1984, vol. 30, issue 6, 665-670

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.

Keywords: queues: multi-channel; queues: priority; queues: approximations; government: services; police (search for similar items in EconPapers)
Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:inm:ormnsc:v:30:y:1984:i:6:p:665-670

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