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A computerized approach to finding the minimum sample size for single sample attribute sampling plans
Much has been written concerning the determination
of a single sampling plan given two points on the operating characteristic (OC) curve. A computer program is
presented which will provide minimum sample size for
single sample attribute sampling plans. The program
provides sampling plans based on the binomial distribution. It incorporates the Fibonacci search technique for
discrete valued functions. The search is conducted over
an interval, for the variable representing the acceptance number, known to contain the optimal solution. For
each point evaluated within this interval, a Fibonacci
search is used to determine the least value of the sample
size. It is shown how an initial feasible solution could
provide the values needed to establish the search intervals. An algorithm already developed to produce integral
solutions is used to determine the initial feasible solution. The algorithm developed in this paper is tested to
determine its performance. The testing is to illustrate
the accuracy of the proposed method. Use of the program
also highlights accuracy problems existing with the previous minimum sample size method. Exact solutions are
also determined through exhaustive searches for this purpose. A proof of optimality based on the Poisson approximation to the binomial is offered