An approximation method for general closed queuing networks with Fork/Join mechanisms

An approximation method for general closed queuing networks with Fork/Join mechanisms

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Article ID: iaor20011065
Country: United Kingdom
Volume: 51
Issue: 2
Start Page Number: 198
End Page Number: 208
Publication Date: Feb 2000
Journal: Journal of the Operational Research Society
Authors: ,
Keywords: queueing networks
Abstract:

Queueing networks with Fork/Join mechanisms are encountered in modelling and analysis of parallel computer systems and computer/communication networks. Exact analytical solutions of such networks are not available. In particular, due to the Fork/Join mechanisms, these networks do not have a product-form solution. As a result, approximation methods that can provide accurate estimates of the performance parameters are of high interest. The purpose of this paper is to propose such an approximation method that applies to a fairly general class of closed queuing networks with Fork/Join mechanisms. The method is based on the use of a product-form approximation technique. Numerical results are provided that show that the accuracy of the method is fairly good.

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