Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-28T16:01:10.685Z Has data issue: false hasContentIssue false
  • English
  • Français

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.
Get access Rights & Permissions [Opens in a new window]

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 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Gertsbakh, I. B. (1977). Models of Preventive Maintenance. North-Holland, Amsterdam.Google Scholar
Lewis, E. E. (1987). Introduction to Reliability Engineering. John Wiley, New York.Google Scholar
Lorenzen, T. J., and Vance, L. C. (1986). The economic design of control charts: a unified approach. Technometrics 28, 3–10.Google Scholar
Montgomery, D. C. (2001). Introduction to Statistical Quality Control, 4th edn. John Wiley, New York.Google Scholar
Nakagawa, T. (1984). Periodic inspection policy with preventive maintenance. Naval Res. Logistics Quart. 31, 33–40.Google Scholar
Nakagawa, T., and Yasui, K. (1991). Periodic-replacement models with threshold levels. IEEE Trans. Reliab. 40, 395–397.Google Scholar
Ross, S. (1996). Stochastic Processes, 2nd edn. John Wiley, New York.Google Scholar
Vaurio, J. K. (1995). Optimization of test and maintenance intervals based on risk and cost. Reliab. Engin. System Safety 49, 23–26.Google Scholar
Vaurio, J. K. (1997). On time-dependent availability and maintenance optimization of standby units under various maintenance policies. Reliab. Engin. System Safety 56, 79–89.CrossRefGoogle Scholar
Vaurio, J. K. (1999). Availability and cost functions for periodically inspected preventively units. Reliab. Engin. System Safety 63, 133–140.Google Scholar