scholarly journals QBDs with marked time epochs: a framework for transient performance measures

Author(s):  
B. Van Houdt ◽  
C. Blondia
1992 ◽  
Vol 38 (3) ◽  
pp. 388-399 ◽  
Author(s):  
Mohamed A. Ahmed ◽  
Donald Gross ◽  
Douglas R. Miller

OR Spectrum ◽  
1995 ◽  
Vol 17 (1) ◽  
pp. 19-22 ◽  
Author(s):  
M. C. T. van de Coevering

1999 ◽  
Vol 13 (2) ◽  
pp. 147-167 ◽  
Author(s):  
Eugene W. Wong ◽  
Peter W. Glynn ◽  
Donald L. Iglehart

In this paper we consider the use of coupling ideas in efficiently computing a certain class of transient performance measures. Specifically, we consider the setting in which the stationary distribution is unknown, and for which no exact means of generating stationary versions of the process is known. In this context, we can approximate the stationary distribution from empirical data obtained from a first-stage steady-state simulation. This empirical approximation is then used in place of the stationary distribution in implementing our coupling-based estimator. In addition to the empirically based coupling estimator itself, we also develop an associated confidence interval procedure.


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