What is truth? A practical guide to comparing reliability equation answers to simulation results

We found that our endeavor to resolve the absolute true MTTF of a simple system to be both enlightening and far more difficult to achieve than ever thought possible. Determining truth so that a sound foundation from which accurate comparative analysis between mathematical and simulation techniques can be conducted, is a difficult journey with many potential pitfalls. The profound conclusions of this simple exercise will surprise many of the most seasoned reliability experts as well as provide a roadmap to how best to compare two or more reliability methods. Our playful paper will show that although mathematical derivations can accurately solve a few textbook type problems, only simulation has the muscle to solve the truly interesting reliability problems.

[1]  Jason Brown,et al.  Reliability: Probabilistic Models and Statistical Methods , 1996 .

[2]  K. E. Murphy,et al.  The exponential distribution: the good, the bad and the ugly. A practical guide to its implementation , 2002, Annual Reliability and Maintainability Symposium. 2002 Proceedings (Cat. No.02CH37318).

[3]  Samuel Karlin,et al.  ELEMENTS OF STOCHASTIC PROCESSES , 1975 .

[4]  Jerome Klion.  A redundancy notebook , 1977 .

[5]  R. Durrett.  Essentials of Stochastic Processes , 1999 .

[6]  K. E. Murphy,et al.  How long should I simulate, and for how many trials? A practical guide to reliability simulations , 2001, Annual Reliability and Maintainability Symposium. 2001 Proceedings. International Symposium on Product Quality and Integrity (Cat. No.01CH37179).