Accession Number:

ADA244277

Title:

The Role of a Module in the Failure of a System

Descriptive Note:

Technical rept.,

Corporate Author:

FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS

Report Date:

1991-07-01

Pagination or Media Count:

11.0

Abstract:

Arrangement increasing and Schur functions play a central role in establishing stochastic inequalities in several areas of statistics and reliability. The role of a module in the failure of a system measures the importance of the module. We define the role to be the probability that this module is among the modules that failed before the failure of the system. A system is called a second order upsilon-out-of-kappa if it is a upsilon-out-of- kappa system based on kappa modules, without common components, and where each module is a alpha i-out-of-n i system. For such systems, we show that the role of a module is an arrangement increasing or Schur function of parameters that describe the system. These results allow us to compare the role of a module under different values of the parameters of the system.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE