Fault tree analysis is an important technique in determining the safety and dependability of
complex systems. Fault trees are used as a major tool in the study of system safety as well …

Publisher Summary This chapter discusses various aspects of reliability theory. The chapter
discusses the simplest case of the states being only “up” and “down” to the most general …

We investigate alternative definitions of multi-state coherency, and establish a chain of
implication amongst these. The role of monotonicity within coherency is analysed by also …

A bina~ structure function is a mapping where (8 e, x) denotes (xl,...,xi-l, 8, x,+t,..., (i) FI, ¢ llj for i
~j, Page 1 Volume 6, Number 6 OPERATIONS RESEARCH LETrERS December 1987 …

Competitive pressures and changing production management paradigms have, in recent
years, increased the importance of reliable and consistent production equipment. Initially the …

Various mathematical models for multistate systems have been proposed in the literature.
Among them the model introduced by Barlow and Wu is the one most intimately related to …

Maymin proved that for binary systems, the path-cut lower bound is sharper than the
minimax lower bound for highly reliable components, which was originally conjectured by …

Many systems consist of subsystems, which in turn consist of components. Failure of any
one of these components may cause failure of the entire system. The performance of a …

A set of three conditions are developed which characterize generalized Barlow-Wu systems
within the larger class of monotone continuum structure functions. This provides an …

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