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On the Shortest Queue Policy for the Tandem Parallel Queue

Published online by Cambridge University Press:  27 July 2009

Arie Hordijk  and
Ger Koole
Arie Hordijk
Affiliation:
Department of Mathematics and Computer Science University of Leiden, postbus 9512 2300 RA Leiden, The Netherlands
Ger Koole
Affiliation:
Department of Mathematics and Computer Science University of Leiden, postbus 9512 2300 RA Leiden, The Netherlands
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Abstract

We consider two nodes in tandem. At each node or service center, there are two exponential servers present with the same service rate μ and each with its own queue. Customers arrive at the first node according to a Poisson process with arrival rate λ. At their arrival, they have to be assigned to one of the servers, so they are routed to one of the queues at node 1. Customers leaving center 1 enter node 2 and are routed to one of the queues at node 2. In this paper, we consider the case with full information and the case with partial information.

Type
Articles
Information
Probability in the Engineering and Informational Sciences , Volume 6 , Issue 1 , January 1992 , pp. 63 - 79
Copyright
Copyright © Cambridge University Press 1992

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