ECONOMIC DESIGN OF A VP X CHART

Abstract We develop an economic model for X control charts having all design parameters varying in an adaptive way, that is, in real time considering current sample information. In the proposed model, each of the design parameters can assume two values as a function of the most recent process information. The cost function is derived and it provides a device for optimal selection of the design parameters. Through a numerical example one can foresee the savings that the developed model possibly provides.

[1]  Marion R. Reynolds,et al.  Shewhart and EWMA Variable Sampling Interval Control Charts with Sampling at Fixed Times , 1996 .

[2]  James M. Lucas,et al.  Exponentially weighted moving average control schemes with variable sampling intervals , 1992 .

[3]  J. B. Keats,et al.  X¯ chart with adaptive sample sizes , 1993 .

[4]  Raid W. Amin,et al.  A Robustness Study of Charts with Variable Sampling Intervals , 1993 .

[5]  J. A. Nachlas,et al.  X charts with variable sampling intervals , 1988 .

[6]  Marion R. Reynolds,et al.  Variable Sampling Interval X Charts in the Presence of Correlation , 1996 .

[7]  Antonio Fernando Branco Costa,et al.  X̄ Chart with Variable Sample Size and Sampling Intervals , 1997 .

[8]  TAPAS K. DAS,et al.  Economic design of dual-sampling-interval policies for X¯ charts with and without run rules , 1997 .

[9]  Changsoon Park,et al.  Economic design of a variable sample size -chart , 1994 .

[10]  Douglas C. Montgomery,et al.  ADAPTIVE SAMPLING ENHANCEMENTS FOR SHEWHART CONTROL CHARTS , 1993 .

[11]  U. Rendtel,et al.  Cusum-schemes with variable sampling intervals and sample sizes , 1990 .

[12]  Corwin L. Atwood,et al.  Techniques for Uncertainty Analysis of Complex Measurement Processes , 1996 .

[13]  Robert V. Baxley,et al.  An Application of Variable Sampling Interval Control Charts , 1995 .

[14]  William H. Woodall,et al.  CUSUM charts with variable sampling intervals , 1990 .

[15]  George C. Runger,et al.  Adaptative sampling for process control , 1991 .

[16]  Antonio Fernando Branco Costa,et al.  X̄ Charts with Variable Parameters , 1999 .

[17]  Antonio Fernando Branco Costa,et al.  X̄ charts with variable sample size , 1994 .

[18]  Lonnie C. Vance,et al.  The Economic Design of Control Charts: A Unified Approach , 1986 .

[19]  D. Montgomery,et al.  A Combined Adaptive Sample Size and Sampling Interval X Control Scheme , 1994 .

[20]  Tapas K. Das,et al.  An economic design model for X¯ charts with random sampling policies , 1997 .