Probabilistic analysis of redundant systems with human errors and common-cause failures

Abstract

Department of Mechanical Engineering U n i v e r s i t y of Ottawa Ottawa, O n t a r i o K I N 6N5 CANADA ABSTRACT T h i s paper p r e s e n t s two mathematical models r e p r e s e n t i n g t h r e e u n i t redundant systems w i t h commoncause f a i l u r e s and human e r r o r s . R e l i a b i l i t y , s t e a d y s t a t e a v a i : l a b i l i t y , mean time t o f a i l u r e (MTTF) and v a r i a n c e of time t o f a i l u r e formulas a r e developed f o r b o t h models. Supplementary v a r i a b l e s and Markov t e c h n i q u e s were employed t o o b t a i n t h e

Human error modelling of parallel and standby redundant systems

“…Parallel and standby configurations are two of the most widely used redundant configurations. There is little work concerning the human error modelling of parallel and standby redundant systems (see Dhillon 1980, Dhillon and Rayapati 1985a, b, 1986 reported in the published literature. This paper is an attempt to fulfil this need.…”

Critical and non-critical human error modelling in redundant systems: modified block diagram approach

“…This paper presents three mathematical models representing redundant systems with erlangiandistributed critical and non-critical human error times. The block diagram approach is modified for performing reliability analyses (Dhillon and Rayapati 1985, 1986t 1987.…”

Reliability analysis of network systems subject to probabilistic propagation failures and failure isolation effects

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