Development of a new variable repetitive group sampling plan based on EWMA yield index

Document Type : Research Note


1 Department of Industrial Engineering, Yazd University, Yazd, P.O. Box 89195-741, Iran

2 Department of Industrial Engineering, Science and Art University, Yazd, Iran


This paper develops a new variables repetitive group sampling plan using the exponentially weighted moving average (EWMA) statistic based on the yield index for the submitted lot. The optimal parameters of the proposed plan are determined under three scenarios based on the average sample number. Average sample number (ASN) is minimized to decrease inspection's cost and time by using the optimization problem for the required quality levels and sundry combinations of producer's and consumer's risks. The comparison study is provided to specify the efficiency of the proposed plan. Furthermore, the proposed plan is presented with an example which indicates its applicability in the industry. The proposed plan is compared with the single sampling plan and repetitive group sampling plan based on the yield index. The upshots are tabulated for various quality levels. The obtained outcomes demonstrate that the performance of the proposed sampling plan is more lucrative than the existing sampling plans in terms of ASN.