J Austral Math Soc Ser B 38 pp454--463, 1997.

On the quasi-stationary distribution for queueing networks with defective routing

Richard J. Boucherie

(Received 10 April 1995; revised 6 August 1995)

Abstract

This note introduces quasi-local-balance for discrete-time Markov chains with absorbing states. From quasi-local-balance product-form quasi-stationary distributions are derived by analogy with product-form stationary distributions for Markov chains that satisfy local balance.

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Author

Richard J. Boucherie: Universiteit van Amsterdam, Department of Econometrics, Roetersstraat 11, 1018 WB Amsterdam, The Netherlands.

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Last Modified: Mon Dec 10 17:04:50 2001