Queueing Systems with Service Interruptions

Awi Federgruen and Linda Green
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Awi Federgruen: Columbia University, New York, New York
Linda Green: Columbia University, New York, New York

Operations Research, 1986, vol. 34, issue 5, 752-768

Abstract: In many queueing systems, the service process is subject to interruptions resulting from breakdowns, scheduled off-periods or the arrival of customers with preemptive priority. We consider a single server, first-come, first-served queueing system that alternates between periods when service is available (“on-periods”) and periods when the server is unavailable (“off-periods”). We consider the case of Poisson arrivals and general service, on- and off-time distributions and derive bounds and approximations for the mean waiting time, probability of delay and steady-state distribution of the number in system. These results are exact for the case of exponentially distributed on-times. Computational results are reported.

Keywords: 683; performance; bounds; for; systems; with; service; interruptions (search for similar items in EconPapers)
Date: 1986
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