Moment recursions of the cumulative performance of production systems using discrete-time Markov reward models

Author(s):  
R. Mallubhatla ◽  
K.R. Pattipati ◽  
N. Viswanadham
2004 ◽  
Vol 386 ◽  
pp. 383-405 ◽  
Author(s):  
M. Telek ◽  
A. Horváth ◽  
G. Horváth

2006 ◽  
Vol 43 (04) ◽  
pp. 1044-1052 ◽  
Author(s):  
Nico M. Van Dijk ◽  
Karel Sladký

As an extension of the discrete-time case, this note investigates the variance of the total cumulative reward for continuous-time Markov reward chains with finite state spaces. The results correspond to discrete-time results. In particular, the variance growth rate is shown to be asymptotically linear in time. Expressions are provided to compute this growth rate.


1999 ◽  
Vol 36-37 ◽  
pp. 95-114 ◽  
Author(s):  
Miklós Telek ◽  
Sándor Rácz

2012 ◽  
Vol 69 (9) ◽  
pp. 440-455 ◽  
Author(s):  
Nigel G. Bean ◽  
Małgorzata M. O’Reilly ◽  
Yong Ren

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