Decomposition property for markov-modulated queues with applications to warranty management

Authors:
Nan Liu;Vidyadhar g. Kulkarni
Affiliations:
Department of statistics and operations research, university of north carolina, chapel hill, nc 27599 e-mail: nliu@email.unc.edu/ vkulkarn@email.unc.edu;Department of statistics and operations research, university of north carolina, chapel hill, nc 27599 e-mail: nliu@email.unc.edu/ vkulkarn@email.unc.edu
Venue:
Probability in the Engineering and Informational Sciences
Year:
2009

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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.