Download e-book for iPad: System and Bayesian Reliability: Essays in Honor of by Yu Hayakawa, Telba Zalkind Irony, Min Xie

By Yu Hayakawa, Telba Zalkind Irony, Min Xie

ISBN-10: 9810248652

ISBN-13: 9789810248659

This quantity is a set of articles on reliability platforms and Bayesian reliability research. Written via respected researchers, the articles are self-contained and are associated with literature stories and new examine rules. The publication is devoted to Emeritus Professor Richard E. Barlow, who's renowned for his pioneering examine on reliability concept and Bayesian reliability research

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Extra info for System and Bayesian Reliability: Essays in Honor of Professor Richard E. Barlow

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The transformation clarifies the asymptotic behavior of the bounds at the extremes of the component reliability range. The distance Bounding System Fig. 2. Reliability 19 Two-Terminal Bridge Network between a point on a bound curve and the corresponding point on the reliability curve reflects the ratio of the odds computed from the bound to the odds computed from the reliability. The bounds computed are (i) the parallel-series bounds, based on considering the system to be either composed of min-cuts in series or minpaths in parallel, (ii) the inclusion-exclusion bounds, computed by truncating an inclusion-exclusion expression for the system reliability in terms of the events that min-cuts fail or min-paths work, (iii) the single path/cut bounds, where the system is approximated by its most reliable min-path or its least reliable min-cut, and (iv) the expectation bounds we introduce here.

The /-within-consecutive-fc: F model 6 : Under this model, a system instance fails if and only if it contains / 0-state components within k consecutive components. The model can be expressed as the set {binary strings which do not contain / 0's within a segment of k consecutive digits}. The g-within-consecutive-fc: G model: Under this model, a system instance works if and only if it contains g 1-state components within k consecutive components. The model can be expressed as the set {binary strings which contain j l ' s within a segment of k consecutive digits}.

The g-within-consecutive-fc: G model: Under this model, a system instance works if and only if it contains g 1-state components within k consecutive components. The model can be expressed as the set {binary strings which contain j l ' s within a segment of k consecutive digits}. After a short observation on above definitions, it is easy to find that these models are basically defined by "good" or "bad" patterns such that a system instance works (or fails) if and only if it contains a good (or bad) pattern.

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System and Bayesian Reliability: Essays in Honor of Professor Richard E. Barlow by Yu Hayakawa, Telba Zalkind Irony, Min Xie


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