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DECOMPOSITION PROPERTY FOR MARKOV-MODULATED QUEUES WITH APPLICATIONS TO WARRANTY MANAGEMENT

Published online by Cambridge University Press:  30 April 2009

Nan Liu  and
Vidyadhar G. Kulkarni
Nan Liu
Affiliation:
Department of Statistics and Operations Research, University of North Carolina, Chapel Hill, NC 27599 E-mail: nliu@email.unc.edu; vkulkarn@email.unc.edu
Vidyadhar G. Kulkarni
Affiliation:
Department of Statistics and Operations Research, University of North Carolina, Chapel Hill, NC 27599 E-mail: nliu@email.unc.edu; vkulkarn@email.unc.edu
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Abstract

In this article we study Markov-modulated queues with and without jumps. These queuing models arise naturally in production-inventory systems with and without an external supplier. We show an interesting decomposition property that relates the equilibrium state distributions in these two systems and present an integrated warranty-inventory management model as an application.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 23 , Issue 3 , July 2009 , pp. 433 - 447
Copyright
Copyright © Cambridge University Press 2009

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