Article ID: | iaor2006773 |
Country: | United Kingdom |
Volume: | 32 |
Issue: | 5 |
Start Page Number: | 1131 |
End Page Number: | 1145 |
Publication Date: | May 2005 |
Journal: | Computers and Operations Research |
Authors: | Kharoufeh Jeffrey P., Sipe Jeffrey A. |
Keywords: | statistics: distributions |
We present simplified analytical results for the numerical evaluation of failure time probabilities for a single-unit system whose cumulative wear over time depends on its external environment. The failure time distribution is derived as a one-dimensional Laplace–Stieltjes transform with respect to the temporal variable using a direct solution approach and by inverting an existing two-dimensional result with respect to the spatial failure threshold variable. Two numerical examples demonstrate that accurate cumulative probability values can be obtained in a straightforward manner using standard computing environments.