A joint-adaptive np control chart with multiple dependent state sampling scheme. Issue 14 (18th July 2017)

• Record Type: Journal Article
• Authors: Zhou, Wenhui; Wan, Qiang; Zheng, Yanfang; Zhou, Yong-wu
• Is Part Of: Communications in statistics. Volume 46:Issue 14(2017)
• Page Start: 6967
• Page End: 6979
• Publication Date: 2017-07-18
• Subjects: Double sampling -- economic design -- multiple dependent state sampling -- np control chart -- variable sampling interval.; 62P30; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2015.1132323
• Languages: English
• ISSNs: 0361-0926

Abstract

ABSTRACT: Although the classical Shewhart np control chart has been widely used to detect an out-of-control status of manufacturing process, it is static and there is lack of responsiveness to slight process changes. In this paper, an adaptive np control chart with a joint sampling strategy combining double sampling (DS) and variable sampling interval (VSI) is developed. The multiple dependent state sampling scheme is adopted to further improve the performance of the control chart. An economical design model to minimize the general cost of using the proposed chart is established and solved by a genetic algorithm. The numerical results show that comparing to traditional static np control chart, the proposed np chart yields better performance in terms of shorter time to signal an out-of-control process and less expected cost per unit of time. Comparisons are made to show the capability of the proposed chart in yielding average reductions of 5.01% and 8.89%, in the cost of the proposed model compared to situations in which either the DSVSI np chart or the traditional np chart is used.