کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
808356 | 905693 | 2007 | 13 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Dynamic reliability via computational solution of generalized state-transition equations for entry-time processes Dynamic reliability via computational solution of generalized state-transition equations for entry-time processes](/preview/png/808356.png)
Entry-time processes are finite-state continuous-time jump processes with transition rates depending only on the two states involved, the calendar time, and the most recent arrival time (entry time). Entry-time processes are transformed into Markov processes via the standard technique of incorporating entry time into the state variables. It is shown that the associated state-transition (Chapman–Kolmogorov) equations can be written as a coupled pair of integrodifferential equations. A finite-difference approximation to these equations is developed. This computational approach is verified, and some of its properties delineated, via two hypothetical examples. One of these examples admits a semi-analytic solution, while simulations provide the base of comparison for the other.
Journal: Reliability Engineering & System Safety - Volume 92, Issue 9, September 2007, Pages 1281–1293