可变样本容量和抽样区间的WLE控制图  

WLE Control Chart with Variable Sampling Intervals and Sample Sizes for Monitoring Process Mean and Standard Deviation

作　　者：班婷婷[1] 朱永忠[1] 

机构地区：[1]河海大学理学院,江苏南京211100

出　　处：《江南大学学报（自然科学版）》2014年第2期243-247,共5页Joural of Jiangnan University (Natural Science Edition)　

摘　　要：基于加权损失函数下的EWMA控制图(WLE图),在同时监控产品均值和标准差的变化时,对其进行了可变抽样区间和样本容量的控制图设计。运用Markov链方法计算其平均报警时间,并与FSI WLE和VSI WLE图进行比较。模拟结果表明,所设计的WLE图具有更短的平均报警时间,检测效率更优。An EWMA control chart based on the weighted loss function （named the WLE control chart） for monitoring process mean and standard deviation with variable sampling intervals and sample sizes is constructed in this paper. The Markov chain method is applied to calculate the average time to signal of the VSSI WLE control chart,compared with the fixed and variable sampling interval＇s WLE control chart. The simulation results show that the designed control chart has the shorter average time to signal and is more efficient in detecting shift.

关 键 词：WLE控制图 可变抽样区间 可变样本容量 马尔科夫链 平均报警时间 

分 类 号：O213[理学—概率论与数理统计]