Journal of Quality Engineering and Management

Economic design of X-bar control chart in flow process under Burr XII shock model with non-uniform sampling schemes

Document Type : Original Article

Authors

Aitin Saadatmeli 1
Mohammad bamanimoghadam 2
Asqhar Sayf 3

1 Faculty of Computer Engineering, Najafabad Branch, Islamic Azad University, Najafabad, Esfahan, Iran.

2 Professor, Allameh Tabatabaei University, Department of Statistics, Tehran, Iran.

3 Assistant Professor, Bu Ali Sina University, Faculty of Basic Sciences, Department of Statistics, Hamedan, Iran.

https://doi.org/10.48313/jqem.2021.143368
Abstract
The economic design of control charts depends on the process shock model distribution and due to difficulties from both theoretical and practical aspects. This paper pursues to develop the economic design of X ̅ 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 as fixed, increasing, decreasing, and single mode or even U-shaped. Continuous flow processes are used in batch processes such as those meet to filtering, chemical processing and etc. 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. In addition, we use uniform and non-uniform sampling schema and comparison between them. This comparison show that for non-constant hazard rate, non-uniform sampling scheme is better.

Keywords

Economic Design
Control Chart
Burr XII distribution
Shock Model
continuous flow process
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Journal of Quality Engineering and Management
Volume 11, Issue 2
Summer 2021
Pages 127-154

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