Approximations for multi-server queues: System interpolations

Approximations for multi-server queues: System interpolations

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Article ID: iaor19951917
Country: United States
Volume: 17
Issue: 3/4
Start Page Number: 347
End Page Number: 382
Publication Date: Oct 1994
Journal: Queueing Systems
Authors:
Abstract:

This paper provides a unifying method of generating and/or evaluating approximations for the principal congestion measures in a GI/G/s queueing system. The main focus is on the mean waiting time, but approximations are also developed for the queue-length distribution, the waiting-time distribution and the delay probability for the Poisson arrival case. The approximations have closed forms that combine analytical solutions of simpler systems, and hence they are referred to as system-interpolation approximations or, simply, system interpolations. The method in this paper is consistent with and generalizes system interpolations previously presented for the mean waiting time in the GI/G/s queue.

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