COPS: Whatcha Gonna Do?

This case focuses on the application of queueing theory to urban planning. It would be suitable for either an undergraduate or graduate course in queueing theory or urban operations research. The case examines the problem of patrol car allocation. The students are shown the weakness of the so-called hazard rate allocation that is common police practice. This allocation is based solely on call-for-service (arrival) rates. The case also illustrates the weakness of a focus solely on server workload (utilization). Armed with an appreciation of queueing effects, the students are then asked to explore the vast set of possible patrol car allocations. The choice of the “best” or even a “good” allocation depends on a subjective assessment of the important criteria, which usually involve consideration for police response times and officer workloads.