Optimal number of minimal repairs before replacement of a system subject to shocks
✍ Scribed by Shey-Huei Sheu; William S. Griffith
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 669 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0894-069X
No coin nor oath required. For personal study only.
✦ Synopsis
A system is subject to shocks that amve according to a nonhomogeneous Poisson process. As shocks occur a system has two types of failures. Type 1 failure (minor failure) is removed by a minimal repair, whereas type 2 failure (catastrophic failure) is removed by replacement. The probability of a type 2 failure is permitted to depend on the number of shocks since the last replacement. A system is replaced at the times of type 2 failure or at the nth type I failure, whichever comes first. The optimal policy is to select n* to minimize the expected cost per unit time for an infinite time span. A numerical example is given to illustrate the method.