Load Sharing Models and Their Life Distributions.
Abstract
An N-component parallel system is subjected to a known load program. As time passes, components fail in a random manner which depends on their individual load histories. At any time t, the surviving components share the total load according to some rule. The system's lifetime distribution is studied under various breakdown rules. Under the linear breakdown rule it is shown that if the load program is increasing the system lifetime is IFR. Using the notion of Schur convexity, stochastic comparison of difference systems is obtained. It is also shown that the system failure time is asymptotically normally distributed as the number of components grows large. All these results hold under various load sharing rules, in fact, one can prove that the system lifetime distribution is invariant under different load sharing rules. For a more general breakdown rule only the equal load sharing is considered. The asymptotic distribution of the system lifetime is shown to be normal. The asymptotic mean and variance are derived. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1980
- Accession Number
- ADA095066
Entities
People
- Zvi Schechner
Organizations
- University of California, Berkeley