Applied Stochastic Models in Operations Research

Author(s):  
Jati K. Sengupta
2014 ◽  
Vol 28 (2) ◽  
pp. 183-201 ◽  
Author(s):  
Percy H. Brill

We introduce a level-crossing analysis of the finite time-t probability distributions of the excess life, age, total life, and related quantities of renewal processes. The technique embeds the renewal process as one cycle of a regenerative process with a barrier at level t, whose limiting probability density function leads directly to the time-t quantities. The new method connects the analysis of renewal processes with the analysis of a large class of stochastic models of Operations Research. Examples are given.


1955 ◽  
Vol 39 (6) ◽  
pp. 464-464
Author(s):  
John E. Anderson
Keyword(s):  

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