Accession Number:

ADA244278

Title:

The Role of a Group of Modules in the Failure of Systems

Descriptive Note:

Technical rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Report Date:

1991-08-01

Pagination or Media Count:

12.0

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.

Descriptors:

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE