m.s fallahnezhad - Industrial Engineering Department, University of Yazd, PO Box ۸۹۱۹۵-۷۴۱, Yazd, Iran
s.t.a niaki - Industrial Engineering Department, Sharif University of TechnologyCorresponding Author
m.a. vahdat zad - Industrial Engineering Department, University of Yazd, PO Box ۸۹۱۹۵-۷۴۱, Yazd, Iran

In acceptance sampling plans, the decisions on either accepting or rejecting a specific batch is still a challenging problem. In order to provide a desired level of protection for customers as well asmanufacturers, in this paper, a new acceptance sampling design is proposed to accept or reject a batchbased on Bayesian modeling to update the distribution function of the percentage of nonconforming items. Moreover, to determine the required sample size the backwards induction methodology of the decision treeapproach is utilized. A sensitivity analysis that is carried out on the parameters of the proposedmethodology shows the optimal solution is affected by initial values of the parameters. Furthermore, an optimal ( n ,c ) design is determined when there is a limited time and budget available and hence the maximum sample size is specified in advance

Acceptance Sampling; Bayesian Inference; Decision Tree; Backwards Induction