Serial Inventory Systems with Markov-Modulated Demand: Derivative Bounds, Asymptotic Analysis, and Insights

2017 ◽  
Vol 65 (5) ◽  
pp. 1231-1249 ◽  
Author(s):  
Li Chen ◽  
Jing-Sheng Song ◽  
Yue Zhang
Keyword(s):  
Asymptotic Analysis ◽  
Inventory Systems ◽  
Markov Modulated

An Asymptotic Analysis of a Queueing System with Markov-Modulated Arrivals

1986 ◽  
Vol 34 (1) ◽  
pp. 105-119 ◽  
Author(s):  
David Y. Burman ◽  
Donald R. Smith
Keyword(s):  
Asymptotic Analysis ◽  
Queueing System ◽  
Markov Modulated

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

2009 ◽  
Vol 23 (3) ◽  
pp. 433-447 ◽  
Author(s):  
Nan Liu ◽  
Vidyadhar G. Kulkarni
Keyword(s):  
Equilibrium State ◽  
Inventory Management ◽  
Inventory Systems ◽  
Management Model ◽  
Decomposition Property ◽  
Queuing Models ◽  
Production Inventory ◽  
Two Systems ◽  
Markov Modulated ◽  
Warranty Management

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.

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