Analytical Results for a Single-Unit System Subject to Markovian Wear and Shocks (Paperback)

This thesis develops and analyzes a mathematical model for the reliability measures of a single-unit system subject to continuous wear due to its operating environment and randomly occurring shocks that inflict a random amount of damage to the unit. Assuming a Markovian operating environment and shock arrival mechanism, Laplace-Stieltjes transform expressions are obtained for the failure time distribution and all of its moments. Moreover, an analytical expression is derived for the long-run availability of the single-unit system when it is subject to an inspect-and-replace maintenance policy. The analytical results are illustrated, and their results compared with those of Monte Carlo-simulated failure data. The numerical results indicate that the reliability measures may be accurately computed via numerical inversion of the transform expressions in a straightforward manner when the input parameters are known a priori. In stark contrast to the simulation model which requires several hours to obtain the reliability measures, the analytical procedure computes the same measures in only a few seconds.

General

Imprint:	Biblioscholar
Country of origin:	United States
Release date:	October 2012
First published:	October 2012
Authors:	Daniel E Finkelstein
Dimensions:	246 x 189 x 5mm (L x W x T)
Format:	Paperback - Trade
Pages:	98
ISBN-13:	978-1-249-58812-2
Categories:	Books > Social sciences > Education > General Promotions
LSN:	1-249-58812-X
Barcode:	9781249588122

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