Robust economic-statistical design of X-bar control chart

Abstract

Control charts are developed to monitor the service and production processes. The fact that many processes have uncertain parameters is a barrier to obtain the best design of the control charts. In this paper, economic statistical design (ESD) of the X-bar control chart utilising robust optimisation approach that considers interval estimates of uncertain parameters is investigated. A heuristic algorithm is developed to obtain the robust scheme of the control chart. Robust design for an industrial problem is compared with traditional ESD, and heuristic design. Numerical analyses and simulation study show that the proposed X-bar control chart offers a better approach and more reliable solutions for practitioners.

Keywords:

• control chart
• economic statistical design
• robust optimisation
• budget of uncertainty

Acknowledgements

The authors appreciate the Editor and honourable Reviewers for their constructive suggestions, which improved the content substantially.