The performance of the truncated mixed control chart |
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Authors: | Roberto Campos Leoni Antonio Fernando Branco Costa |
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Institution: | 1. Department of Statistics at Agulhas Negras Military Academy (AMAN), Resende, RJ, Brazil;2. Department of Production at S?o Paulo State University (UNESP), S?o Paulo, SP, Brazilleoni.roberto@aman.eb.mil.br |
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Abstract: | AbstractWhen the mixed chart proposed by Aslam et al. (2015 Aslam, M., M. Azam, N. Khan, and C.-H. Jun. 2015. A mixed control chart to monitor the process. International Journal of Production Research 53 (15):4684–93. doi:10.1080/00207543.2015.1031354.Taylor & Francis Online], Web of Science ®] , Google Scholar]) is in use, the sample items are classified as defective or not defective and, depending on the number of defectives, the quality characteristic X of the sample items are also measured. In this case, an Xbar chart decides the state of the process. The previous conforming/non-conforming classification truncates the X distribution and, because of that, the mathematical development to obtain the ARLs is complex. Aslam et al. (2015 Aslam, M., M. Azam, N. Khan, and C.-H. Jun. 2015. A mixed control chart to monitor the process. International Journal of Production Research 53 (15):4684–93. doi:10.1080/00207543.2015.1031354.Taylor & Francis Online], Web of Science ®] , Google Scholar]) didn’t pay attention to the fact that the X distribution is truncated and, due to that, they obtained incorrect ARLs. |
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Keywords: | Mixed chart truncated distribution average sample size inspection by attribute and by variable |
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