Economic-statistical design of the (X)over-bar chart used to control a wandering process mean using genetic algorithm

Abstract

This research considers the process mean wanders according to a first-order autoregressive model. During the in-control period the process mean wanders around its target value, and after the assignable cause occurrence, around an off-target value. The cost model proposed by Duncan was used to select the X bar chart's parameters and the genetic algorithm to meet their optimum values. The wandering movement required a Markov chain to obtain the properties of the control chart. The autocorrelation among mean values increases the monitoring costs and reduces significantly the chart's efficiency. (c) 2012 Elsevier Ltd. All rights reserved.