Journal ArticleDOI
Multi-Component Systems and Structures and Their Reliability
Reads0
Chats0
TLDR
The present study deals with general classes of systems which contain two-terminal networks and most other kinds of systems considered previously as special cases, and investigates their combinatorial properties and their reliability.Abstract:
A number of recent publications have dealt with problems of analyzing the performance of multi-component systems and evaluating their reliability. For example, a comprehensive theory of two-terminal networks was presented in [I] by Moore and Shannon who, among other results, have developed methods for obtaining highly reliable systems using components of low reliability; some of their procedures are credited to earlier work by von Neumann [2]. Several of the concepts and results of the present paper are generalizations of the corresponding concepts and results of the Moore-Shannon paper. A discussion of complex systems interpreted as Boolean functions may be found in the paper [3] by Mine. The present study deals with general classes of systems which contain two-terminal networks and most other kinds of systems considered previously as special cases, and investigates their combinatorial properties and their reliability. These classes consist, with several variants, of systems such that the more components...read more
Citations
More filters
Journal ArticleDOI
The reliability of two-terminal parallel-series networks subject to two kinds of failure
TL;DR: In this article, the authors consider two-terminal parallel-series networks formed from m identical and independent components and find that for any value of q, the proportion of failures which are "failures to idle" is maximized.
Journal ArticleDOI
An Efficient Method for Reliability Analysis of Systems Under Epistemic Uncertainty Using Belief Function Theory
TL;DR: An efficient method based on the inclusion-exclusion principle to compute the reliability of systems in the presence of epistemic uncertainty is presented and it is implied that the bounding interval of the system's reliability can be obtained with two simple calculations using methods similar to those of classical probabilistic approaches.
Book ChapterDOI
Chapter 13 Reliability and maintainability
TL;DR: The chapter describes basic replacement policies and shows the ways in which aging properties can influence the choice of an optimal replacement policy.
Journal ArticleDOI
Reliability bounds for dependent failures
TL;DR: In this paper, upper and lower bounds for the reliability of a series system with statistically dependent component failures are obtained. But the method can be applied to series subsystems when these are obtained by decomposing a complex system.
Journal ArticleDOI
RELIABILITY AND IMPORTANCE MEASURES OF WEIGHTED-k-OUT-OF-n SYSTEM
TL;DR: In this article, the authors introduced the concept of Weighted Markov Bernoulli Trial (WMBT) {Xi, i ≥ 0} and studied the distribution of, the total weight of successes in the sequence of n WMBT and conditional distribution of given that uth trial results in failure/success.
References
More filters
Journal ArticleDOI
Reliable circuits using less reliable relays
TL;DR: It is shown that by using a sufficiently large number of relays in the proper manner, circuits can be built which are arbitrarily reliable, regardless of how unreliable the original relays are.
Journal ArticleDOI
Reliability of physical system
TL;DR: This paper presents the general concept of the reliability of the complex physical system which consists of a number of unreliable elements, analyzed systematically by means of algebraic and topological theory.