Economic design of control charts with burr distribution for non-normal data under weibull failure mechanism

[[abstract]]When the x bar chart is applied to monitor a manufacturing process, three parameters should be determined: sample size, sampling interval between successive samples, and the control limits for the chart. In 1988, Banerjee and Rahim presented the cost model that used variable sampling intervals as opposed to sampling intervals of fixed length under the process-failure mechanism which follows a Weibull model or some other models having an increased hazard rate. However, when designing control charts, one usually assumes that the measurements in the subgroup are normally distributed. This assumption may not be tenable. This paper develops the economic design of x bar control charts for non-normal data under Weibull shock models. An example is presented to illustrate the solution procedure.[[fileno]]2020408010017[[department]]工工