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
Boolean Normal Forms, Shellability, and Reliability Computations
TL;DR: It is established that every positive Boolean function can be represented by a shellable DNF, a polynomial procedure to compute the dual of a shellability DNF is proposed, and it is proved that testing the so-called lexico-exchange (LE) property (a strengthening of shellability) is NP-complete.
Book ChapterDOI
Arithmetic Transform of Boolean Functions
TL;DR: In many applications where logic functions need to be analyzed it can be useful if the authors transform Boolean functions to arithmetic functions, and through such arithmetic simulation they can probabilistically verify a pair of functions with much more confidence than two-valued Boolean simulation.
Journal ArticleDOI
Comments On "Inverting and Minimalizing Path sets and Cut sets
TL;DR: In this article, the generation of minimal paths from the minimal cuts or vice-versa, for s-coherent systems using duality rule is dealt with, where the path generation problem is solved using the duality rules.
Journal ArticleDOI
Comments on: Improved Method of Inclusion-Exclusion Applied to k-out-of-n Systems
TL;DR: In this article, the reliability of k-out-of-n:G systems has been studied and a perspective on the problem of computing the reliability has been provided, which has taken more than its share of space in the literature.
Journal ArticleDOI
The real transform of a Boolean function and its applications
TL;DR: It is shown that real transforms allow the formulation of switching problems in the real domain, where the techniques of mathematical programming for obtaining optimal solutions can be applied.