A Conditional Repetitive Group Sampling Plan for Truncated Life Tests Using Log - Logistic, Exponentiated Log - Logistic, Rayleigh and Inverse Rayleigh Distributions

  • Priyah Anburajan Research Scholar, Department of Mathematics, Avinashilingam University, Coimbatore, Tamil Nadu, India
  • A. R. Sudamani Ramaswamy Associate Professor at Department of Mathematics, Avinashilingam University, Coimbatore - 641043, Tamil Nadu, India
Keywords: Log - Logistic, exponentiated log - logistic, Rayleigh and the inverse Rayleigh distribution, repetitive group sampling plan, consumer's risk, Operating characteristics, Producer's risk, Truncated life test.

Abstract

In this paper, a conditional repetitive group acceptance sampling plan is developed for a truncated life test when the lifetime of an item follows different lifetime distributions. Sample sizes required for the acceptance numbers are determined when the consumer’s risk and the test termination time are specified. The operating characteristic values according to various quality levels are obtained. The results are explained with examples.

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References

Sherman R.E. (1965). Design and evaluation of repetitive group sampling plan, Technometrics, Vol. 7, pp. 11-21.

Soudararajan V. and Ramasamy M. M. (1984). Designing repetitive group sampling (RGS) plan indexed by AQL and LQL: ZAPQR Transactions, Vol. 9( 1 ), 9-14.

Govindaraju, K. (1987), An interesting observations in Acceptance Sampling. Economic Quality Control Journal, 2(4), pp.89-92.

Shankar, G. & Mohapatra B.N. (1993), GERT analysis of conditional repetitive group sampling plan. ZJQRM, Vol.10(2), 50-62.

Kantam, R.R. L., Rosaiah, K. and Srinivasa Rao, G. (2001): Acceptance sampling based on life tests: Log-logistic models. Journal of Applied Statistics 28, 121-128.

Park H., Moon Y., Jun C.H., Balamurali S., Lee J. (2004). A variables repetitive group sampling plan for minimizing average sample number. Journal of the Korean Institute of Industrial Engineers 30 (3), 205–212.

Rosaiah, K. and Kantam, R.R.L. (2005): Acceptance sampling based on the inverse Rayleigh distribution. EQC 20, 277-286.

Rosaiah K., Kantam R.R.L., Santosh Kumar (2007). Exponentiated Log – Logistic distribution – An economic reliability test plan. Pak. J. Statist., Vol. 23(2) pp 147 – 156.

Muhammad Aslam (2007). Double acceptance sampling based on truncated life tests in Rayleigh distribution, European Journal of Scientific Reasearch, Vol. 17 No. 4, pp. 605 – 610.

Muhammad Aslam, S. T. A. Niaki, M. Rasool and M. S. Fallahnezhad (2012). Decision rule of repetitive acceptance sampling plans assuring percentile life, Scientia Iranica, Transaction E: Industrial Engineering.

Published
2015-03-07
How to Cite
Anburajan, P., & Ramaswamy, A. R. S. (2015). A Conditional Repetitive Group Sampling Plan for Truncated Life Tests Using Log - Logistic, Exponentiated Log - Logistic, Rayleigh and Inverse Rayleigh Distributions. Journal of Progressive Research in Mathematics, 2(2), 118-130. Retrieved from https://scitecresearch.com/journals/index.php/jprm/article/view/45
Issue
Vol 2 No 2: JPRM
Section
Articles

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