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
Symbolic reliability analysis via Shannon's expansion and statistical independence
TL;DR: A simple procedure for evaluating the symbolic reliability of a complex system, where the switching functions of system success and system failure are expressed as the intersections of complements to the prime implicants of these functions.
Partially-Redundant Systems: Examples, Reliability, and Life Expectancy
TL;DR: This paper reviews how the Boole-Shannon expansion is used to derive pertinent recursiverelations, leading to a highly efficient algorithm for k-out-of-n reliability evaluation, and lists some extensions and applications of this algorithm and compares it with a few related algorithms.
Journal ArticleDOI
Fault-tree modelling of computer system security
TL;DR: This paper adapts the fault-tree methodology of reliability engineering to the quantification of security exposure of computer systems and handles the doubly stochastic problem of estimating the uncertainty in the top event probability by using an analytic exact formula relating the variance of the topevent probability to the variances of the basic event probabilities.
Journal ArticleDOI
On the scaling behavior of reliability–resilience–vulnerability indices in agricultural watersheds
TL;DR: In this paper, the authors explored the spatial scaling behavior of R-R-V indices for five agricultural watersheds in the midwestern United States using two different measures of spatial scale: (i) the ratio of contributing upland area to area required for channel initiation (FA), and (ii) Strahler stream order.
Journal ArticleDOI
Derivation of the Complete Sum of a Switching Function with the Aid of the Variable-entered Karnaugh Map
TL;DR: In this paper, the authors present two techniques for deriving the complete sum of a switching function with the aid of the variable-entered Karnaugh map (VEKM), a map that enjoys several pictorial advantages and a doubled variable-handling capability, and hence is recommended when the number of variables ranges from 7 to 12.