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Line Reversibility of Multiserver Systems

Published online by Cambridge University Press:  27 July 2009

Dinah W. Cheng
Dinah W. Cheng
Affiliation:
Leonard N. Stern School of Business, Department of Statistics/Operations Research, 704 Tisch Hall, New York University, New York, New York 10012-1138
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Abstract

The line reversibility property of a two-stage multiserver system with manufacturing blocking has previously been established using a duality argument between the blocked state and the idle state. In this paper, we provide counterexamples that show this argument does not apply to systems with more than two stages. A focus of this paper is to provide a new proof for the result. Our argument is based on the duality between the service initiation and the service completion events.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 11 , Issue 2 , April 1997 , pp. 177 - 188
Copyright
Copyright © Cambridge University Press 1997

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