Approximate system reliability evaluation

  • Roy Billinton
  • Ronald N. Allan


As discussed in Chapters 8 to 10, the Markov technique and the frequency and duration approach form sound and precise modelling and evaluation methods for reliability applications. They become less amenable, however, for hand calculations and even for digital computer solutions as the system becomes larger and more complex. In such cases, alternative methods are available which are based on the Markov approach and which use a set of appropriate but approximate equations. The essence of these approximate techniques is to derive a set of equations suitable for a series system in which all components must operate for system success and for a parallel system in which only one component need work for system success. These equations can then be used in conjunction with the network modelling techniques described in Chapters 4 and 5 to give rapid and sufficiently accurate results for a wide range of practical systems. In addition they are ideally suited for both hand calculations and digital computer implementation.


Parallel System Repair Time System Success Markov Approach Common Mode Failure 
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Copyright information

© Springer Science+Business Media New York 1992

Authors and Affiliations

  • Roy Billinton
    • 1
  • Ronald N. Allan
    • 2
  1. 1.College of EngineeringUniversity of SaskatchewanSaskatoonCanada
  2. 2.University of Manchester Institute of Science and TechnologyManchesterUK

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