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Optimization of inspection intervals based on cost

Part of: Special processes Operations research and management science

Published online by Cambridge University Press:  14 July 2016

F. G. Badía ,
M. D. Berrade  and
Clemente A. Campos
F. G. Badía*
Affiliation:
University of Zaragoza
M. D. Berrade*
Affiliation:
University of Zaragoza
Clemente A. Campos*
Affiliation:
University of Zaragoza
*
∗ Postal address: Departamento de Métodos Estadísticos, Centro Politénico Superior, María de Luna 3, 50015 Zaragoza, Spain.
∗ Postal address: Departamento de Métodos Estadísticos, Centro Politénico Superior, María de Luna 3, 50015 Zaragoza, Spain.
∗ Postal address: Departamento de Métodos Estadísticos, Centro Politénico Superior, María de Luna 3, 50015 Zaragoza, Spain.
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Abstract

We present a new inspection policy useful when testing is needed to detect failures of a single-unit system. It is supposed that tests may fail and give an erroneous result. The inspection policy minimizing cost per unit of time for an infinite time span is also discussed. In addition, we study the behaviour of the optimum policy for some time to failure distributions often assumed in reliability: exponential and Pareto.

Keywords

Maintenancereliabilityrenewal processesoptimum policy

MSC classification

Primary: 90B25: Reliability, availability, maintenance, inspection
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 38 , Issue 4 , December 2001 , pp. 872 - 881
Copyright
Copyright © by the Applied Probability Trust 2001 

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