Binary Decision Diagrams and Extensions for System by Liudong Xing, Suprasad V. Amari PDF

By Liudong Xing, Suprasad V. Amari

ISBN-10: 1118549376

ISBN-13: 9781118549377

ISBN-10: 1119178002

ISBN-13: 9781119178002

ISBN-10: 1119178010

ISBN-13: 9781119178019

ISBN-10: 1119178029

ISBN-13: 9781119178026

Contemporary advances in technology and know-how have made smooth computing and engineering platforms extra robust and complex than ever. The expanding complexity and scale indicate that method reliability difficulties not just remain a problem but in addition require extra effective versions and ideas. this is often the 1st publication systematically protecting the cutting-edge binary selection diagrams and their prolonged versions, that could supply effective and certain recommendations to reliability research of huge and complicated platforms. The e-book offers either uncomplicated techniques and unique algorithms for modelling and comparing reliability of a variety of advanced structures, equivalent to multi-state structures, phased-mission platforms, fault-tolerant structures with imperfect fault assurance, platforms with common-cause disasters, structures with disjoint mess ups, and structures with sensible based disasters. some of these platforms abound in safety-critical or mission-critical functions similar to aerospace, circuits, strength platforms, scientific structures, telecommunication platforms, transmission structures, site visitors gentle platforms, information garage platforms, and and so on.

The e-book offers either small-scale illustrative examples and large-scale benchmark examples to illustrate extensive purposes and benefits of alternative determination diagrams established equipment for advanced method reliability research. different measures together with part significance and failure frequency also are lined. A wealthy set of references is mentioned within the ebook, offering necessary assets for readers to pursue extra study and research of the themes. the objective viewers of the ebook is reliability and protection engineers or researchers.

The booklet can function a textbook on approach reliability research. it will possibly additionally function an instructional and reference ebook on determination diagrams, multi-state structures, phased-mission platforms, and imperfect fault assurance models.

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Extra resources for Binary Decision Diagrams and Extensions for System Reliability Analysis

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4 ∫a f X (x)dx = P{a ≤ X ≤ b} = FX (b) −aFX (a); For each real a, FX (a) = P(X ≤ a) = ∫ f X ( x )dx ; −∞ ∞ FX ( ∞ ) = ∫ f X (x )dx = 1 . −∞ Parameters of Random Variables The mean, k-th moment, variance and standard deviation of a random variable are defined in this section. The mean or expected value of a random variable represents the longrun average of the variable or the expected average outcome over many observations. v. v. 11) X is continuous The variance of a random variable is a measure of the variable’s statistical dispersion, indicating how far its values are typically from the mean value.

Definitions of these measures are based on a continuous random variable called time-to-failure. 1 Time-to-Failure and Failure Function The lifetime of a non-repairable unit can be modeled using a continuous random variable T called time-to-failure (ttf). The ttf is defined as the time elapsing from when the unit is first put into operation until its first failure. Define a state variable X(t) representing the state of the unit at time t: X(t)= 1 if the unit is functioning at time t; X(t)=0 if the unit is failed at time t.

The variable ordering used for ROBDD generation is A

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Binary Decision Diagrams and Extensions for System Reliability Analysis by Liudong Xing, Suprasad V. Amari


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