Relation between performance potentials and infinitesimal realization factors in closed queueing networks

Relation between performance potentials and infinitesimal realization factors in closed queueing networks

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Article ID: iaor20041856
Country: China
Volume: 17B
Issue: 4
Start Page Number: 458
End Page Number: 464
Publication Date: Jan 2002
Journal: Applied Mathematics (A Journal of Chinese Universities)
Authors: , , ,
Keywords: queueing networks
Abstract:

In this paper, the concept of the infinitesimal realization factor is extended to the parameter-dependent performance functions in closed queueing networks. Then the concepts of a realization matrix (its element are called realization factors) and performance potential are introduced, and the relations between infinitesimal realization factors and these two quantities are discussed. This provides a united framework for both IPA and non-IPA approaches. Finally, another physical meaning of the service rate is given.

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