Abstract

In this study, group acceptance sampling plan proposed by Aslam et al. (2011) is reconsidered when the lifetime variant of the test item follows lognormal distribution. The optimal plan parameters are obtained by considering various pre-specified parameters. The plan parameters are obtained using the non-linear optimization solution using two points approach. The advantage of the proposed plan is discussed over the existing plan using the single point approach and the proposed plan is more efficient than the existing plan.

Keywords:

Group acceptance sampling plan, lognormal distribution, producer, testers,

References

1. Aslam, M. and C.H. Jun, 2009a. A group acceptance sampling plan for truncated life tests based on the inverse Rayleigh and log-logistic distributions. Pak. J. Stat., 25(2): 107-119.
   
2. Aslam, M. and C.H. Jun, 2009b. A group acceptance sampling plan for truncated life test having Weibull distribution. J. Appl. Stat., 36(9): 1021-1027.
   CrossRef    
3. Aslam, M., C.H. Jun, H. Lee, M. Ahmad and M. Rasool, 2011. Improved group sampling plans based on truncated life tests. Chil. J. Stat., 2(1): 85-97.
   
4. Aslam, M., S. Balamurali, C.H. Jun, M. Ahmad and M. Rasool, 2012. Designing of group sampling plans based on gamma-poisson distribution. J. Test. Eval., 40(6): 939-944.
   CrossRef    
5. Balakrishnan, N., V. Leiva and J. Lopez, 2007. Acceptance sampling plans from truncated life tests based on the generalized Birnbaum-Saunders distribution. Commun. Stat. Simulat., 36: 643-656.
   CrossRef    Direct Link
6. Goode, H.P. and J.H.K. Kao, 1961. Sampling plans based on the Weibull distribution. Proceeding of the 7th National Symposium on Reliability and Quality Control. Philadelphia, pp: 24-40.
   
7. Gupta, S.S., 1962. Life test sampling plans for normal and lognormal distributions. Technometrics, 4(2): 151-175.
   CrossRef    
8. Gupta, S.S. and P.A. Groll, 1961. Gamma distribution in acceptance sampling based on life tests. J. Am. Stat. Assoc., 56: 942-970.
   CrossRef    
9. Kantam, R.R.L., K. Rosaiah and G. Rao Srinivasa, 2001. Acceptance sampling based on life tests: Log-logistic model. J. Appl. Stat., 28(1): 121-128.
   CrossRef    CrossRef    
10. Khazaei, J., S. Jafari and S. Noorolah, 2008. Lognormal Vs. Normal and the Weibull Distributions for Modeling the Mass and Size Distributions of Sunflower Seeds and Sernels.
    Direct Link
11. Kundu, D. and A. Manglick, 2004. Discriminating between the Weibull and log-normal distributions. J. Naval Res. Logist., 51(6): 893-905.
    CrossRef    
12. Rosaiah, K., R.R.L. Kantam and Ch. Santosh Kumar, 2007. Exponentiated log-logistic distribution-An economic reliability test plan. Pak. J. Stat., 23(2): 146-147.
    
13. Stephens, K.S., 2001. The Handbook of Applied Acceptance Sampling: Plans, Procedures and Principles. ASQ Quality Press, Milwaukee, WI.
    
14. Tsai, T.R. and S.J. Wu, 2006. Acceptance sampling based on truncated life tests for generalized Rayleigh distribution. J. Appl. Stat., 33(6): 595-600.
    CrossRef    

Competing interests

The authors have no competing interests.

Open Access Policy

This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.

Copyright

The authors have no competing interests.