Optimal Reliability Modeling: Principles and Applications

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Contents
1 Introduction  1 
2 Reliability Mathematics  5 
3 Complexity Analysis  62 
4 Fundamental System Reliability Models  85 
5 General Methods for System Reliability Evaluation  140 
6 General Methodology for System Design  188 
7 The koutofn System Model  231 
8 Design of koutofn Systems  281 
10 Multidimensional Consecutivekoutofn Systems  384 
11 Other koutofn and Consecutivekoutofn Models  401 
12 Multistate System Models  452 
Appendix Laplace Transform  504 
References  513 
527  
539  
9 Consecutivekoutofn Systems  325 
Other editions  View all
Optimal Reliability Modeling: Principles and Applications Way Kuo,Ming J. Zuo No preview available  2003 
Common terms and phrases
algorithm allocation assigned Bimportance Bernoulli trials binary bridge structure circular system closedform expression commoncause failures complexity component failures component reliability components are i.i.d. computational Con/k/n:F system consecutivekoutofn Consider continuous random variable decomposition defined definition denoted derived equal event example exponential distribution expression failed components failure rate fault coverage ﬁnd following equation G system gamma distribution Hwang i.i.d. components indicate integer invariant optimal design koutofn:G system Laplace transform least Lin/Con/k/n:F system Markov chain matrix minimal cut minimal path minimal path vectors modular decomposition module MTBF MTTF multistate system nents node Notation number of components number of failed parallel system parameter permutation ponents probability random variable recursive redundancy reliabil reliability block diagram represents result series system structure function subsystem summation system is failed system reliability evaluation system structure system with i.i.d. Theorem total number unreliability upper bound values
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