An operator-analytic approach to product-form networks

An operator-analytic approach to product-form networks

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Article ID: iaor19971646
Country: United States
Volume: 12
Issue: 1
Start Page Number: 121
End Page Number: 142
Publication Date: Jan 1996
Journal: Communications in Statistics - Stochastic Models
Authors: ,
Keywords: Jackson network
Abstract:

The product-form stationary distribution of open Markovian networks of queues are characterised in terms of eigenvalues and eigenvectors of approximately defined rate matrices in an operator-analytic formulation. For a Jackson network, the conditions enforced by such a formulation are shown to be equivalent to the conditions imposed by the standard traffic equations. Generalisations to a wider class of product-form networks are also given.

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