On Reliability Properties of a Parallel System with States of Reduced Efficiency

Ilkka Virtanen

Abstract

This paper deals with the operational behaviour and reliability of a system which has several different levels of performance, i.e. the system also possesses the property of operation with reduced efficiency. Using the supplementary variable technique and Laplace and discrete transforms, both the transient and steady state behaviour of the system are derived. On the basis of this behavioural information the reliability of the system is obtained. The reliability analysis of the system is carried out within the framework of generalized reliability concepts developed for operationally multi-stage systems.

Key words: Systems with reduced efficiency, Generalized reliability characteristics, Supplementary variables, Discrete transforms.

(Studies in Honour of Olavi Bertel Hellman on the Occasion of His 50th Birthday. Annales Universitatis Turkuensis, Series A.1. 175, 51­58, Turku 1978.)