Recently several control charts have been introduced in the  statistical process control  literature which are based on the idea of Bayesian Predictive Density (BPD).  Among these charts is the variation control chart which we refer to it as VBPD chart.

In this paper we add the idea of Moving Average to VBPD chart and introduce a new variation control chart which has all advantages of the original VBPD chart and in addition has a new advantage which is its sensitivity to small changes in process variance. We refer to this new chart as MAVBPD chart.

In both VBPD and MAVBP charts , the parameters are assumed unknown but the control statistic has a known F distribution which means that, the control limits can be obtained  without simulation.