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# Accession Number:

## ADA151033

# Title:

## Properties of Systems Which Lead to Efficient Computation of Reliability.

# Descriptive Note:

## Technical rept.,

# Corporate Author:

## NORTH CAROLINA UNIV AT CHAPEL HILL CURRICULUM IN OPERATIONS RESEARCH AND SYSTEMS ANALYSIS

# Report Date:

## 1984-08-01

# Pagination or Media Count:

##
9.0

# Abstract:

## One of the most widely used approaches to computing systems reliability is to represent the system structure in terms of a Boolean sum of all minpaths. This expression is then transformed into a sum of disjoint terms. The probability of each term is then summed to obtain the reliability of the system. A key question with respect to the difficulty of this process relates to the ability to transform the initial sum into a sum of disjoint products. In this paper, the authors show that for the class of shellable systems, there always exists a disjoint product expression with a number of terms equal to the number of minpaths. The authors provide several examples of shellable systems for which an expression can be efficiently found.

# Distribution Statement:

## APPROVED FOR PUBLIC RELEASE

#