Journal of Quality Engineering and Management

Double Objective Economic - Statistical Design under Pareto Shock models

Document Type : Original Article

Authors

Salimeh Sadat Aghili 1
Mohsen Torabian 2
Mohammad Hassan Behzad 1
Asghar Seif 3

1 Department of Statistics, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of Mathematics, Qazvin Branch, Islamic Azad University, Qazvin, Iran

3 Department of statistics, Bu-Ali Sina University, Hamedan, Iran

https://doi.org/10.48313/jqem.2022.164184
Abstract
The technique of control charts to monitor process behavior is one of the basic tools of statistical process control. Process changes can be divided into two main categories: common (random) cause, which is a fundamental feature of any process, and cause (definable) deviation, the occurrence of which is an unusual disorder that must be eliminated in order for the process to reverse. The main purpose of using management control charts is to separate these two different sources.Control charts are widely used in the analysis and control of production processes to produce satisfactory, sufficient, reliable and economical quality. Optimizing chart parameters is an important issue for quality engineers to improve processes. In this paper, the economic statistical design of the X ̅ control chart under the Pareto shock model based on the double objective design is presented. Actually by applying restrictions on the first type of error, the cost as the economic objective and the second type of error as the statistical objective is considered and then the optimal solutions are selected based on the Pareto front. Finally, through a practical example, the advantages of the proposed approach are shown by preparing a list of optimal solutions and graphical representations.

Keywords

Economic- Statistical design
X ̅ control chart
Double- objective design
Pareto distribution
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Journal of Quality Engineering and Management
Volume 12, Issue 1
Spring 2022
Pages 87-102

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