An optimal complete inspection plan for critical multicharacteristic components

In this paper, a new inspection plan for critical multicharacteristic components is presented. A mathematical model that depicts and represents the plan has been developed. An algorithm is proposed to determine the optimal number of repeat inspections and sequence characteristics for inspection that minimizes the expected total cost. The expected total cost consists of the cost of false acceptance (cost of Type II error), cost of false rejection (cost of Type I error), and the cost of inspection. Empirical comparisons with the Raouf et al. model on randomly generated problems have been conducted. The results have shown that the proposed plan performs better in terms of the expected total cost on 82% of the generated problems for the assumed specific parameters. The reduction in the expected total cost ranges from 0.1-10%.