The optimal allocation combination for the two-sided sequential screening procedure based on the individual misclassification error

作者：Wu Shu Fei^*; Lin Ying Po

来源：Journal of Statistical Computation and Simulation, 2014, 84(9): 2025-2043.

DOI：10.1080/00949655.2013.780171

• sequential screening procedure
• average outgoing quality
• individual nonconforming probability or individual misclassification error
• expected cost of quality
• expected total cost
• multivariate normal distribution

In this paper, the expected total costs (ETCs) of three kinds of quality cost functions for the two-sided sequential screening procedure (SQSP) based on the individual misclassification error are obtained, where the ETC is the sum of the expected cost of inspection, the expected cost of rejection and the expected cost of quality. The general formulas for all the desired probabilities and three ETCs when k screening variables are allocated into r-stages are derived. The optimal allocation combination for each ETC is determined based on the criterion of minimum ETC. Finally, we give two examples to illustrate the selection of the optimal allocation combination for the SQSP.

• 出版日期2014-9-2