RELIABILITY THEORY USING HIGH CONDITIONAL PROBABILITY EVENTS

Conditional event algebra put forward by Goodman has been advocated as a mathematical framework that ensures coherence for defining logical implication in probabilistic setting and allowing logical deductions. On the other hand, Bamber proposed a nice logical setting for dealing with assertion of high conditional probability. This paper attempts to review the basic reliability models of serial and parallel system in the light of Goodman's conditional event algebra. Especially, sufficient rules together with the underlying assumptions are investigated in order to provide a full characterization of serial / parallel systems.