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On normalization constants for closed queueing networks with finite local buffers

Part of: Special processes

Published online by Cambridge University Press:  14 July 2016

Ulrich A. W. Tetzlaff
Ulrich A. W. Tetzlaff*
Affiliation:
George Mason University
*
∗Postal address: George Mason University, School of Management, Fairfax, VA 22030–4444, USA. Email address: tetzlaff@som.gmu.edu
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Abstract

We present new closed form solutions for partition functions used to normalize the steady-state flow balance equations of certain Markovian type queueing networks. The results focus on single class closed product form networks with state space constraints at the queueing stations. They are achieved by combining the partition function of the open network, having finite local buffers with a delta function in order to fix the number of customers in the system.

Keywords

Partition functionsnormalization constantsqueueing networksfinite queues

MSC classification

Primary: 60K25: Queueing theory
Type
Research Papers
Information
Journal of Applied Probability , Volume 35 , Issue 3 , September 1998 , pp. 600 - 607
Copyright
Copyright © Applied Probability Trust 1998 

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