Journal ArticleDOI
An exposition of system reliability analysis with an ecological perspective
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The paper treats the problem of survival reliability which is the probability of successful migration of a specific species from a critical habitat patch to destination habitat patches via heterogeneous imperfect corridors and contributes methods for computing a new measure of reliability that arises when paths to destination habitats patches share common corridors.About:
This article is published in Ecological Indicators.The article was published on 2016-04-01. It has received 23 citations till now. The article focuses on the topics: Reliability theory & Critical habitat.read more
Citations
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Book ChapterDOI
Switching-Algebraic Analysis of System Reliability
TL;DR: This chapter deals with the paradigm of handling system reliabilityAnalysis in the Boolean domain as a supplement to (rather than a replacement to) analysis in the probability domain, and explains some important properties of the concept of Boolean quotient.
Journal ArticleDOI
Weighted Voting Systems: A Threshold- Boolean Perspective
TL;DR: The paper demonstrates that the prime implicants of the system threshold function are its Minimal Winning Coalitions (MWC), and stresses the utility of threshold Boolean functions in the understanding, study, analysis, and design of weighted voting systems irrespective of size.
Journal ArticleDOI
Reliability Analysis of a Commodity-Supply Multi-State System Using the Map Method
TL;DR: The analysis of a commodity-supply system that serves as a standard gold example of a non-repairable multi-state k-out-of-n: G system with independent non-identical components yields a Multi-Valued Karnaugh Map (MVKM), which serves as an explicit function of the multi-valued inputs of the system.
Journal ArticleDOI
Exposition and Comparison of Two Kinds of a Posteriori Analysis of Fault Trees@@@استعراض ومقارنة نوعين من التحليل اللاحق لأشجار الأخطاء
TL;DR: It is demonstrated here that in many cases this analysis is still possible via elementary faulttree manipulations that use the concept of a Boolean quotient to effectively implement Bayes’ Theorem in the Boolean domain.
Journal ArticleDOI
Conventional and Improved Inclusion-Exclusion Derivations of Symbolic Expressions for the Reliability of a Multi-State Network
TL;DR: A simple method for handling the classical problem of computing the probability of the union of n events, or equivalently the expectation of the disjunction (ORing) of n indicator variables for these events, and a novel method for combining the MS-PRE and MS-IE concepts together are discussed.
References
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Journal ArticleDOI
A switching-algebraic analysis of consecutive-k-out-of-n:F systems
TL;DR: In this paper, switching-algebraic techniques are utilized in a simple and instructive derivation of the linear-cost recursive relation of consecutive-k-out-of-n:F systems.
Journal ArticleDOI
Further Improved Variable-Entered Karnaugh Map Procedures for Obtaining the Irredundant Forms of an Incompletely-Specified Switching Function
TL;DR: The variable-enter Karnaugh map (VEKM) as mentioned in this paper is an advanced version of the VEKM that allows the use of big Boolean algebras.
Journal ArticleDOI
Inverting and Minimizing Boolean Functions, Minimal Paths and Minimal Cuts: Noncoherent System Analysis
TL;DR: In this paper, an efficient technique is presented for inverting the minimal paths of a reliability logic diagram or fault tree, and then minimizing to obtain the minimal cuts, or else inverting a minimal cut for the minimal path.
The Walsh Spectrum and the Real Transform of a Switching Function: A Review with a Karnaugh-Map Perspective
TL;DR: In this article, the real transform of a switching function is defined as a real function of real arguments, which is clearly distinguished from similar ones such as the multi-linear form or the arithmetic transform.
Journal ArticleDOI