The pointwise stationary approximation for queues with nonstationary arrivals

Article Abstract:

An approximation is presented for calculating long-run average performance measures for multiserver queueing systems with periodic Poisson arrival processes. The expectation of the performance measure is computed by using pointwise stationary approximation (PSA), which is the stationary formula with the arrival rate corresponding to each point in time. Good estimates can be obtained for many key performance measures by using the PSA. For several performance measures, including expected delay and expected queue length, the PSA improves with the increase in the frequency of events and the service rate.

Methods, Models, Numerical analysis, Poisson processes, Approximation theory, Approximation

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Testing the validity of a queueing model of police patrol

Article Abstract:

New York City data was used in efforts to validate a multiple car dispatch queueing model of police patrol operations. The model was designed for use in a patrol car allocation computer system. Researchers evaluated the limitations of assessing the model's validity in an environment that is not conducive to controlled experiments. The multiple car dispatch model was found to be a good though imperfect model of police dispatch and patrol operations in New York.

Operations research, Research, Management science, New York, New York, New York, Police communication systems, Police communications systems, New York (City)

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A queueing system with auxiliary servers

Article Abstract:

It is not unusual for a system to have secondary servers who back up the primary servers who deliver its services to the customer. This model looks at handling two types of servers and two types of customers. It measures expected times and probabilities.

Case studies, Services, Management research, Services industry, Service industries

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