Economic Design of Control Chart

Abstract

Control chart are widely used to establish and maintain statistical control of a process.In other words it is a tool used to monitor processes and to assure that they remain "In Control" or stable The vital function of control chart is to find out the occurrence of assignable causes so that the necessary corrective action can be taken before a huge amount of defective product is produced. The X-bar control chart is preferred most in comparison to any other control chart technique if quality is measured on a regular
scale. In the present project, we here develop the economic design of the X-bar control chart using Genetic Algorithm to determine the values of the sample size, sampling interval, width of control limits such that the expected total cost per hour is minimized. The genetic algorithms (GA) are applied to search for the optimal values of the three test parameters of the X-bar chart. In genetic algorithm we use mutation and cross-over technique to get the optimal solution. Finally, a sensitivity analysis will be carried out to investigate the effect of model parameters on the solution of the economic design