Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution
American Journal of Management Science and Engineering
Volume 2, Issue 5, September 2017, Pages: 80-88
Received: Mar. 20, 2017;
Accepted: Apr. 17, 2017;
Published: Oct. 23, 2017
Views 1664 Downloads 52
Braimah Odunayo Joseph, Department of Mathematics, Ambrose Alli University, Ekpoma, Nigeria
Osanaiye Peter Asanaiye, Department of Statistics, University of Ilorin, Ilorin, Nigeria
In this paper, an improved reliable acceptance sampling plan (Truncated hybrid Double Acceptance Sampling Plan (THDASP)) is proposed for products life that follows Weibull distribution when the testing is truncated at a specified time (t). This type of inspection sampling plan can be used to save the testing time in practical situations. The optimal sample sizes (n) required for testing product quality to ascertain a true mean life is obtained under a given Maximum Allowable Percent Defective (β), test termination ratios and acceptance numbers(C). The operating characteristic (OC) values formula is being developed considering both the Producer’s and Consumer’s risk and the values are generated. The Mean Life Ratios and curves of the plan are examined with varying ratio of the true mean life to the specified life. The advantage of this inspection plan is that could it results in better economic reliability product quality testing that protects the producer from rejecting his good lots and consumers from accepting bad lots of finished products. The mean life ratio values will also guides the producer on how to improve on his product’s quality. A numerical example is also discussed for illustrative purpose.
Braimah Odunayo Joseph,
Osanaiye Peter Asanaiye,
Truncated Hybrid Double Acceptance Sampling Plan (THDASP) for Weibull Product Life Distribution, American Journal of Management Science and Engineering.
Vol. 2, No. 5,
2017, pp. 80-88.
Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/
) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Aslam, M. and R. R. L. Kantam (2008). Economic acceptance sampling based on truncated life tests in the Birnbaum-Saunders distribution. Pak. J. Stat., 24(4): pp.269-276.
Aslam, M. and C. H. Jun (2009). A group acceptance sampling plan for truncated life test having Weibull distribution. J. Appl. Stat., 36(9): pp.1021-1027.
Aslam, M., C. H. Jun and M. Ahmad (2009). Double acceptance sampling plans based on truncated life tests in the Weibull model. J. Stat. Theor. Appl., 8(2): pp. 191-206.
Balakrishnan.M, Leiva.V and Lopez.J (2007). Acceptance sampling plans from truncatedlife tests based on the Generalized Birnbaum-Saunders distribution. Comm. Stat. Simul. Comp., (36), pp. 643-656
Balamurali, S. and C.H. Jun (2006). Repetitive group sampling procedure for variables inspection. J. Appl. Stat., 33(3): pp. 327-338.
Braimah, O. J and Osanaiye, P. A. (2016). Improved single truncated acceptance sampling plans for product dife Distributions, Journal of Sustainable Development in Africa, 18(3):pp. 91-115.
Braimah O. J, Osanaiye P. A and Edokpa I. W. (2016). Improved single truncated acceptance sampling plans for Weibull product life distributions.Journal of the National Association of Mathematical Physics, 38, pp. 451-460.
Epstein, B. (1954). Truncated life tests in the Exponential Case. Ann. Math. Statist. (25), pp.555-564 Goode.
H. P. and Kao, J. H. K. (1961). Sampling plans based on the Weibull distribution. In Proc 7th Nat. Symp. Rel. Qual. Cont., pp. 24-40.
Gupta S. S. (1960). Order Statistics from Gamma Distribution. Technometrics, (2), pp. 243-262.
Gupta S. S. (1962). Life Test sampling plans for normal and lognormal distributions. Technometrics, 4(2), pp. 151-175.
Marshall, A. W and Olkin, I. (1997). A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families. Biometrika, 84, pp. 641-652.
Muhammad, A., Debasis, K. and Munir, A. (2010). Time truncated acceptance sampling plans for Generalized Exponential distribution.Pak. J. Commer. Soc. Sci. 1, pp.1-20.
Priyah and Ramaswamy, A. R. S. (2015). A group acceptance aamplingPpan for weighted binomial on truncated life tests using Exponential and Weibull distributions. Journal of Progressive Research in Mathematics. 2(1), pp. 80-88.
Sherman, R. E. (1965). Design and evaluation of repetitive group sampling plan. Technometrics, pp. 11-21.
Sobel, M. and Tischendr of, J. A. (1959).Acceptance sampling with new life test objectives. Proceedings of Fifth National Symposium on Reliability and Quality Cont., 1, pp. 108-118.
Srinivasa S. (2011). Double acceptance sampling plans based on truncated life tests for the Marshall Olkin’s extended exponential distribution, Austrian Journal of Statistics, 40(3), pp. 169-176.
Sudamani, A. R. R and Priyah A. (2012).Acceptance sampling plan for truncated life tests at maximum allowable percent defective. Int. J. of Computational Engr. Research.,2(5), pp. 1413-1418.
Sudamani, A. R. R. and Jayasri, S. (2012). Time truncated chain pampling plans for generalized exponential distribution. Int. J. of Computational Engr. Research (ijceronline.com).2 (5), pp.1402-1407.
Sudamani, A. R. R. and Jayasri S. (2013).Time truncated chain sampling plans for Marshall-Olkin extended exponential distributions. IOSR J. Of Maths., 5(1), pp. 01-05.
Sudamani, R. R and Jayasri, S (2016). Time truncated chain sampling plan for Welbull distributions. International Journal of Engineering Research and General Science, 3(2).pp.59-67.