Abstract
Abstract The paper considers a production process monitored by the General Control Chart With Warning Limits. A single assignable cause is assumed to randomly occur which shifts the distribution of the attribute values of parts produced to known values. The costs of inspection, defective production, and searching for and connecting assignable causes are considered, and an expression for the average cost per good part produced is developed. Markov modeling is used to determine various probabilities and expected values which comprise the average cost expression. A numerical example is presented which indicates the variation in the average cost expression and optimization considerations are presented.
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