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Optimal Periodic Inspection of a Stochastically Degrading System

Name: Optimal Periodic Inspection of a Stochastically Degrading System
Brand: Biblioscholar
SKU: 08138085
Price: 17.29 EUR
Availability: InStock
Author: Timothy B Booher
ISBN: 9781249449287

Timothy B Booher

Lingua

Inglese

Libro In brossura

Codice Libristo: 08138085

Casa editrice Biblioscholar, settembre 2012

This thesis develops and analyzes a procedure to determine the optimal inspection interval that maxi... Descrizione completa

Codice Libristo: 08138085

42 b

17.29 €

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This thesis develops and analyzes a procedure to determine the optimal inspection interval that maximizes the limiting average availability of a stochastically degrading component operating in a randomly evolving environment. The component is inspected periodically, and if the total observed cumulative degradation exceeds a fixed threshold value, the component is instantly replaced with a new, statistically identical component. Degradation is due to a combination of continuous wear caused by the component's random operating environment, as well as damage due to randomly occurring shocks of random magnitude. In order to compute an optimal inspection interval and corresponding limiting average availability, a nonlinear program is formulated and solved using a direct search algorithm in conjunction with numerical Laplace transform inversion. Techniques are developed to significantly decrease the time required to compute the approximate optimal solutions. The mathematical programming formulation and solution techniques are illustrated through a series of increasingly complex example problems.