Time Truncated Sampling Plan under Hybrid Exponential Distribution

The design of acceptance sampling plans for hybrid exponential distribution under a truncated life test is considered in this paper. In this work, experimental values are treated as observed values of exponential random variables whose mean is assumed to be a fuzzy variable in the sense of Liu [25]. A new chance distribution called hybrid exponential distribution is considered in this paper and its properties are investigated. Under the chance distribution, the question of developing time truncated sampling plan is considered. For various acceptance numbers, consumer’s confidence levels and values of the ratio of the fixed experimental time to the specified median life, the minimum sample sizes required to ensure the specified median life are obtained. The operating characteristic function values of the given sampling plans and associated producer’s risk are presented in the fuzzy environment. The results are illustrated with examples. © 2016 World Academic Press, UK. All rights reserved.