Advances and Applications in Statistics
Volume 43, Issue 1, Pages 65 - 89
(November 2014)
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RENEWAL AND AVAILABILITY FUNCTIONS
Dilcu B. Helvaci and Saeed Maghsoodloo
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Abstract: The renewal and availability functions for some common failure and repair underlying distributions are explored. Exact results for the renewal functions and availability of normal time to failure and time to repair, and gamma time to failure and exponential time to repair are provided. Because obtaining the n-fold convolutions of time between cycles for general classes of failure and repair distributions is intractable, we obtained the availability functions for some commonly-encountered failure distributions but at a constant repair-rate. A MATLAB program was devised to perform all calculations. |
Keywords and phrases: types 1 and 2 renewal functions, Laplace transforms, convolutions, cumulative hazard, reliability, renewal and availability functions. |
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