Economic- Statistical design of T2 control chart with the VSSC scheme

T2 control charts are used to monitor a process when more than one quality variable associated with process is being observed. Recent studies have shown that using variable sample size (VSS) schemes result in charts with more statistical power when detecting small to moderate shifts in the process mean vector. This paper presents an economic- statistical design of T2 control charts with variable sample size and control limits (VSSC). We build a cost model of a T2-VSSC control chart for the purpose of economic- statistical design using the model of Costa and Rahim (2001). This cost model is constructed that involves the cost of false alarms، the cost of finding and eliminating the assignable cause، the cost associated with production in an out-of-control state، and the cost of sampling and testing. We optimize this model using a genetic algorithm (GA) approach. Furthermore، T2-VSSC and T2-VSS charts are compared with respect to the expect cost per unit time.