Browsing by Author "Kalyani, K."
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Item An economic reliability test plans for odd generalized exponential log–logistic distribution(Indian Association for Reliability and Statistics (IARS), 2020) Rosaiah, K.; Rao, Srinivasa G.; Sivakumar, D.C.U.; Kalyani, K.Odd generalized exponential log-logistic distribution introduced and studied quite extensively by Rosaiah et al. (2016) is considered as a probability model for the lifetime of products. In this article, the sampling plans are developed for percentile lifetimes using two approaches. In approach–I, minimum sample size necessary to ensure a specified percentile lifetime is determined based on the termination time and acceptance number along with operating characteristic values and producer’s risk. In approach-II, by fixing the number of failures, we determine the life test termination time along with operating characteristic values. The sampling plans constructed using two approaches are compared with respect to life test termination time.Item Odd generalized exponential log logistic distribution: a new acceptance sampling plans based on percentiles(Multidisciplinary Digital Publishing Institute, 2019) Rao, Gadde Srinivasa; Rosaiah, K.; Sivakumar, D. C. U.; Kalyani, K.In this paper, acceptance sampling plans are developed for the odd generalized exponential log logistic distribution based on percentiles when the life test is truncated at a pre-specified (pre-determined) time. The minimum sample size necessary to ensure the specified life percentile is obtained under a given consumer’s risk. The operating characteristic values of the sampling plans as well as the producer’s risk are presented. One example with real data set is also given as an illustration.Item A time-truncated two-stage group acceptance sampling plan for odds exponential log-logistic distribution(Springer, 2019) Rao, Srinivasa G.; Kalyani, K.; Rosaiah, K.; Sivakumar, D. C. U.In this article, two-stage group acceptance sampling plan is developed assuming that the lifetime of the test units follows odds exponential log-logistic distribution and the life test is terminated at a prefixed time. The acceptance of the lot mainly depends on the number of failures observed from each group either in the first or second stage of sampling. We examine the quality of organizations necessary for each of the two stages of the proposed lifetime distribution as to slash the average sample number under the satisfactory constraints of producer’s and consumer’s risk together. The proposed plan is compared with the single-stage group acceptance sampling plan as a special case in terms of the average sample number and the operating characteristics.Item A two-stage group sampling plan based on truncated life tests for an odd generalized exponential log-logistic distribution(SCIENCEDOMAIN international, 2019) Sivakumar, D. C. U.; Rao, Srinivasa G.; Rosaiah, K.; Kalyani, K.In this article, a time truncated life test based on two-stage group acceptance sampling plan is proposed for lifetime of an item follows odd generalized exponential log-logistic distribution (OGELLD). The ability about the lot acceptance can be made in the first or second stage according to the number of failures from each group. The optimal parameters for the proposed plan are determined such that both producer’s as well as consumer’s risks are contented simultaneously for the specified unreliability when group size and test duration are specified. The efficiency of the proposed sampling plan is evaluated in terms of average sample number with the existing sampling plan. The results are explained with the help of industrial example. Using exploratory data analysis and then goodness-of-fit, we show a rough indication of the goodness of fit for our model by plotting the superimposed for the data shows that the OGELLD is a good fit and also it is emphasized with Q-Q plot, displayed in Fig. 1. We observed from the tables / results that the number of groups required decrease as the group size increases from r 3 to 5 and also the. ASN increases marginally, sample size decreases as the group size increases, which indicates that a larger group size may be more economical and it reduces the experimental time and cost. We proposed two-stage group acceptance sampling plan, since it performs much better in terms of the average sample number (ASN) and the operating characteristics than in single-stage group acceptance sampling plan. The advantage of two stage group sampling plan is that it reduces the average sample number (ASN) as compared to the GASP.