control charts;
special causes;
adjustment;
Markov chain;
renewal reward processes;
D O I:
10.1080/03610910008813643
中图分类号:
O21 [概率论与数理统计];
C8 [统计学];
学科分类号:
020208 ;
070103 ;
0714 ;
摘要:
Over-adjustment to a process may result in shifts in process mean, process variance, or both, ultimately affecting the quality of products. A statistically constrained model is developed for the joint economic statistical design of (x) over bar and S-2 control charts to control both process mean and variance. The objective is to determine the design parameters of the control charts, which minimize the total quality control cost. A Markov chain approach is used to derive the model. Application of the model is demonstrated through a numerical example.