Economic-statistical design of the chart used to control a wandering process mean using genetic algorithm

Authors:
B. C. Franco;A. F. B. Costa;M. A. G. Machado
Affiliations:
Production Department, São Paulo State University (UNESP), Guaratinguetá, SP, Brazil;Production Department, São Paulo State University (UNESP), Guaratinguetá, SP, Brazil;Production Department, São Paulo State University (UNESP), Guaratinguetá, SP, Brazil
Venue:
Expert Systems with Applications: An International Journal
Year:
2012

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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.