IJPAM: Volume 13, No. 2 (2004)

$S^2$ CONTROL CHART BASED ON
DOUBLE SAMPLING

Michael B.C. Khoo
School of Mathematical Sciences
University of Science, Malaysia - USM
11800 USM, Penang, MALAYSIA
e-mail: mkbc@usm.my


Abstract.A double sampling (DS) $\overline{X}$ chart is proposed by Daudin [#!3!#] as an alternative to the classical Shewhart $\overline{X}$ chart for the monitoring of the process mean. The DS $\overline{X}$ chart gives better efficiency than the Shewhart $\overline{X}$ chart. When using a DS $\overline{X}$ chart, a decision about the state of a process is made based on either the information in the first sample alone or the combined information of samples one and two. In this paper a double sampling (DS) $S^2$ chart will be proposed for the monitoring of the process variance.

Received: March 25, 2004

AMS Subject Classification: 49J20, 93C20, 49K20, 35K20

Key Words and Phrases: double sampling (DS) $\overline{X}$ chart, double sampling (DS) $S^2$ chart, in-control, out-of-control

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2004
Volume: 13
Issue: 2