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Availability analysis of periodically inspected systems with random walk model

Part of: Operations research and management science Stochastic processes

Published online by Cambridge University Press:  14 July 2016

Lirong Cui  and
M. Xie
Lirong Cui*
Affiliation:
National University of Singapore
M. Xie*
Affiliation:
National University of Singapore
*
∗ Postal address: Department of Industrial and Systems Engineering, National University of Singapore, Singapore 119260.
∗∗ Email address: [email protected]
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Abstract

In this paper, the instantaneous availability of a system maintained under periodic inspection is investigated using random walk models. Two cases are considered. In the first model, the system is repaired or modified and it is assumed to be as good as new upon periodic inspection and maintenance. In the second model, the system is not modified after the inspection if the system is still working, and the condition of the system is assumed to be the same as that before the inspection. For both models the failures only can be found through the inspection. Perfect repair or replacement of a failed system is assumed to be carried out, but the time it takes can be constant or of a random length. The relationship between this problem and the random walk model in a two-dimensional plane is described. Several new results are also shown.

Keywords

Random walkperiodic inspectioninstantaneous availabilityrepair or replacementstochastic process

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60G35: Signal detection and filtering
Type
Research Papers
Information
Journal of Applied Probability , Volume 38 , Issue 4 , December 2001 , pp. 860 - 871
Copyright
Copyright © by the Applied Probability Trust 2001 

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