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Scientific Programming
Volume 2016, Article ID 9629170, 7 pages
Research Article

Statistical Design of an Adaptive Synthetic Control Chart with Run Rule on Service and Management Operation

1School of Management, Shanghai University, Shang Da Road 99, Shanghai 200444, China
2School of Business Administration, South China University of Technology, Guangzhou 510640, China
3School of Mathematic and Statistic, Shenzhen University, Nanhai Ave. 3688, Shenzhen 518060, China

Received 18 August 2016; Accepted 16 October 2016

Academic Editor: Xinchang Wang

Copyright © 2016 Shucheng Yu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An improved synthetic control chart based on hybrid adaptive scheme and run rule scheme is introduced to enhance the statistical performance of traditional synthetic control chart on service and management operation. The proposed scientific hybrid adaptive schemes consider both variable sampling interval and variable sample size scheme. The properties of the proposed chart are obtained using Markov chain approach. An extensive set of numerical results is presented to test the effectiveness of the proposed model in detecting small and moderate shifts in the process mean. The results show that the proposed chart is quicker than the standard synthetic chart and CUSUM chart in detecting small and moderate shifts in the process of service and management operation.