Optimization of Design Parameters for X̄ Control Charts with Independent Multiple Assignable Causes Based on Continuous Flow Processes

Abstract

The economic design of control charts depends on the process shock model distribution due to difficulties from both theoretical and practical aspects. This paper pursues to develop the economic design of [Formula: see text] control chart for monitoring continuous flow processes under Bur XII shock model. The Burr XII distribution is flexible and its hazard rate can take many forms like fixed, increasing, decreasing, single mode or even U-shaped. Continuous flow processes find applications in batch processes like filtration, chemical processing, and more. A sensitivity analysis is executed and numeric examples are given to illustrate the effects of changing the parameters of the shock model distribution on the optimum values of the economic design models as discussed in this paper.