Quality and Reliability Engineering International

Simplified markov techniques for some stand‐by redundant systems

Journal Article


The simplified techniques presented in this paper are the result of a study* of specific stand‐by system configurations comprised of combinations of two different types of non‐repairable operating parts. Failed parts of either type are replaced with stand‐by parts of just one of the two types. All parts have constant failure rates. The simplified transition probability diagram technique centres on the transition probability diagram and is here applied to one of seven system configurations of the original study. To validate the transition probability diagram technique an expanded Markov flow graph is used. Both of these simplified techniques offer advantages over other, existing techniques. A single, general mean time to failure (MTTF) equation is obtained for all the configurations analysed. The developed techniques were used in the analysis of an actual electrical system design project.

Related Topics

Related Publications

Related Content

Site Footer


This website is provided by John Wiley & Sons Limited, The Atrium, Southern Gate, Chichester, West Sussex PO19 8SQ (Company No: 00641132, VAT No: 376766987)

Published features on StatisticsViews.com are checked for statistical accuracy by a panel from the European Network for Business and Industrial Statistics (ENBIS)   to whom Wiley and StatisticsViews.com express their gratitude. This panel are: Ron Kenett, David Steinberg, Shirley Coleman, Irena Ograjenšek, Fabrizio Ruggeri, Rainer Göb, Philippe Castagliola, Xavier Tort-Martorell, Bart De Ketelaere, Antonio Pievatolo, Martina Vandebroek, Lance Mitchell, Gilbert Saporta, Helmut Waldl and Stelios Psarakis.