Markov Chains and Queuing Theory

2005 ◽  
pp. 305-383
Keyword(s):  
2021 ◽  
pp. 235-282
Author(s):  
Giovanni Giambene
Keyword(s):  

2005 ◽  
Vol 20 (1) ◽  
pp. 67-86 ◽  
Author(s):  
Hai-Bo Yu ◽  
Qi-Ming He ◽  
Hanqin Zhang

Motivated by various applications in queuing theory, this article is devoted to the monotonicity and convexity of some functions associated with discrete-time or continuous-time denumerable Markov chains. For the discrete-time case, conditions for the monotonicity and convexity of the functions are obtained by using the properties of stochastic dominance and monotone matrix. For the continuous-time case, by using the uniformization technique, similar results are obtained. As an application, the results are applied to analyze the monotonicity and convexity of functions associated with the queue length of some queuing systems.


2018 ◽  
Vol 73 ◽  
pp. 183-196
Author(s):  
Mary Nabangala Ahuna ◽  
Thomas Joachim Odhiambo Afullo ◽  
Akintunde Alonge
Keyword(s):  

2007 ◽  
Author(s):  
Clara V. Marin ◽  
Colin G. Drury ◽  
Rajan Batta ◽  
Li Lin

2019 ◽  
Vol 16 (8) ◽  
pp. 663-664 ◽  
Author(s):  
Jasleen K. Grewal ◽  
Martin Krzywinski ◽  
Naomi Altman
Keyword(s):  

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