On Time to First Failure in Multicomponent Exponential Reliability Systems
Abstract
Consider an n component reliability system having the property that at any time each of its components is either up (i.e., working) or down (i.e., being repaired). Each component acts independently and it is supposed that each time the ith component goes up it remains up for an exponentially distributed time having mean (mu sub i), and each time it goes down it remains down for an exponentially distributed time having mean (v sub i). It is further supposed that whether or not the system itself is up at any time depends only on which components are up at that time. The author is interested in the distribution of the time of first system failure when all components are initially up at time zero. (Modified author abstract)
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 1974
- Accession Number
- AD0781906
Entities
People
- Sheldon M. Ross
Organizations
- University of California, Berkeley