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
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Braimah Odunayo Joseph, Department of Mathematics, Ambrose Alli University, Ekpoma, Nigeria
Osanaiye Peter Asanaiye, Department of Statistics, University of Ilorin, Ilorin, Nigeria
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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.
Truncated, Acceptance Sampling, Reliability, Producer’s Risk, Consumer’s Risk, Mean Ratio, Operating Characteristics
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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. doi: 10.11648/j.ajmse.20170205.12
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