The Role of a Group of Modules in the Failure of Systems
Abstract
The importance of a module in a system has been a useful concept in Reliability Theory. Several definitions of this concept are available. One such has been called the role of a module in the failure of a system. It is measured by the probability that the module has failed at the time of the failure of the system. In an earlier paper we studied interesting properties of this measure for a class of second order c-out-of-d systems. In this paper we consider the role of a group of modules. As before this is measured by the probability that at least s modules from this group of modules have failed at the time of the failure of the system, for s = 1,2,.... We use the tools of arrangement increasing functions and majorization to study monotonicity properties of this measure in terms of the parameters of the system.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1991
- Accession Number
- ADA244278
Entities
People
- A. M. Abouammoh
- Emad El-neweihi
- Jayaram Sethuraman
Organizations
- Florida State University