Engineering Commons^™

Multi-Objective X-Bar Control Chart Design By Integrating Nsga-Ii And Data Envelopment Analysis, Mohammadsadegh Mobin, Zhaojun Li, Mahdi Massahi Khoraskani

Mohammadsadegh Mobin

Control charts are widely used in industry to establish and maintain statistical control of a process for quality improvement. Economic use of a control chart calls for designing the optimal parameters for sample size, sampling frequency, and the control limits for the chart. This paper investigates the X-bar control chart design through a two-stage multi-objective optimization process. The multi-objective formulation reflects the multiple objective needs in designing an X-bar control chart. For example, these objectives may include average run length when in statistical control, the type-I error, and the detection power. The optimization process first searches the Pareto Frontiers using …