Economic design of X̅ charts with multiple assignable causes using genetic algorithm

The Economic Design of X̅ control charts involves the determination of the optimum values of the three control chart parameters: The sample size n, the control limit coefficient k and the sampling interval h. Earlier Duncan and other developers has pioneered different models and approximate methods for the economic design of X̅ control charts. This paper deals with the economic design of X̅ control charts for multiple assignable causes. Genetic Algorithm (GA) is applied to optimize the loss cost function and for obtaining the optimal solutions of these parameters n, k & h for such charts. The results of all numerical examples show that the proposed optimization procedure is better than the earlier mentioned models.