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Application of decreasing integrated hazard in Rahim and Banerjee model on economic design of X‾$\bar{X}$-control charts for systems with increasing failure rate and early replacement

Author

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  • M. A. Pasha
  • Y. Khadem
  • M. B. Moghadam

Abstract

In comparison to economic designs of X‾$\bar{X}$-control charts with constant integrated hazard over sampling intervals, a new approach is proposed that warranty the integrated hazard is decreasing throughout the time. The generalized model of Rahim and Banerjee (1993) is applied to achieve the optimal design parameters for systems with increasing failure rate and early replacement. Some numerical examples utilizing Weibull(ν, λ) and Gamma(2, λ) in-control time distributions are presented to evaluate the performance of the approach. Both the economic and economic statistical models are used to compare the decreasing integrated hazard approach with the constant one. A comprehensive sensitivity analysis is also presented.

Suggested Citation

  • M. A. Pasha & Y. Khadem & M. B. Moghadam, 2017. "Application of decreasing integrated hazard in Rahim and Banerjee model on economic design of X‾$\bar{X}$-control charts for systems with increasing failure rate and early replacement," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(21), pages 10481-10494, November.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:21:p:10481-10494
    DOI: 10.1080/03610926.2016.1236962
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