Design of Optimal Reliability Acceptance Sampling Plans for Exponential Distribution

In this paper, an attempt is made to derive the most efficient economic reliability sampling plans for accepting a lot containing identical units having exponentially distributed lifetime with parameter θ. We consider two types of sampling plans, namely, (a) sequential sampling plan (t1,t2)${(t_1,t_2)}$ and (b) repetitive group sampling plan (n,t1,t2)${(n,t_1,t_2)}$. Under plan (a), the lot is rejected when the time between successive failures (Yr)${(Y_r)}$ is less than t1, and accepted when Yr≥t2${Y_r\ge t_2}$. The testing will continue for t1≤Yr