Determination of Optimal Design Parameters of JointX̄andRCharts

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Abstract
A computer program is presented which determines the economically optimum design parameters of joint X̄ and R charts. A single assignable cause process model is assumed which involves twelve data parameters. The optimum values of the design parameters, the sample size, the sampling interval, and the control limits coefficients are determined by minimizing the per-hour loss-cost function. This function comprises the fixed and variable costs of sampling, the cost of searching for the assignable cause when, it exists, any adjustment and repair costs, and the cost of searching for an assignable cause that does not exist.