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A Globally Gated Polling System with a Dormant Server

Published online by Cambridge University Press:  27 July 2009

S. C. Borst
S. C. Borst
Affiliation:
CWI, P.O. Box 94079, 1090 GB Amsterdam, The Netherlands
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Abstract

We study a globally gated polling system with a dormant server, which makes a halt at its home base when there are no customers present in the system. We derive an explicit expression for the cycle time distribution as well as for the waiting-time distribution at each of the queues. As a justification of the dormant server policy, we show the waiting time at each of the queues to be smaller (in the increasing-convex-ordering sense) than in the ordinary nondormant server case.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 9 , Issue 2 , April 1995 , pp. 239 - 254
Copyright
Copyright © Cambridge University Press 1995

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