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A Two-Plan Sampling System for Life Testing Under Weibull Distribution

  • Aslam, Muhammad (Department of Statistics, Forman Christian College University) ;
  • Balamurali, Saminathan (Department of Mathematics, Kalasalingam University) ;
  • Jun, Chi-Hyuck (Department of Industrial and Management Engineering, Pohang University of Science and Technology) ;
  • Ahmad, Munir (Department of Statistics, National College of Business Administration & Economics)
  • Received : 2009.07.27
  • Accepted : 2010.01.20
  • Published : 2010.03.01

Abstract

A two-plan sampling system is proposed for a failure-censored life testing when the lifetime follows a Weibull distribution with known shape parameter. The proposed sampling system is based on a switching rule, for switching between the tightened and the normal inspection levels when lots are submitted for inspection in the order of production or in some other systematic way. The design parameters of the proposed sampling system are determined by the two-point approach considering the producer's risks and the consumer's at the specified acceptable reliability level and the lot tolerance reliability level, respectively. It has been observed that the proposed system requires only a single failure for the observation.

Keywords

Acceptable Reliability Level;Consumer's Risk;Lot Tolerance Reliability Level;OC Curve;Producer's Risk;Sampling by Variables

Acknowledgement

Supported by : National Research Foundation of Korea

References

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  1. Attribute Control Charts for the Weibull Distribution under Truncated Life Tests vol.27, pp.3, 2015, https://doi.org/10.1080/08982112.2015.1017649
  2. Design of a Quick Switching Sampling System Based on the Coefficient of Variation vol.6, pp.4, 2018, https://doi.org/10.3390/technologies6040098