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- Title
A new dual CUSUM mean chart.
- Authors
Haq, Abdul; Bibi, Lubna
- Abstract
The conventional cumulative sum (CUSUM) chart is usually designed based on a known shift size. In usual practice, shift size is often unknown and can be assumed to vary within an interval. With such a range of shift size, the dual CUSUM (DCUSUM) chart provides more sensitivity than the CUSUM chart. In this paper, we propose dual Crosier CUSUM (DCCUSUM) charts with and without fast initial response features to efficiently monitor the infrequent changes in the mean of a normally distributed process. Monte Carlo simulations are used to compute the run length characteristics of one‐sided and two‐sided DCCUSUM charts. These run length characteristics are compared with those of the CUSUM, Crosier CUSUM, Shewhart‐CUSUM, and DCUSUM charts in terms of the integral relative average run length. It turns out that the proposed chart shows better performance when detecting a range of mean shift sizes. A real dataset is considered to illustrate the implementation of existing and proposed charts.
- Subjects
CUSUM technique; ELECTRIC conduits; SPORTS cards; BASEBALL cards; PASTORAL staff
- Publication
Quality & Reliability Engineering International, 2019, Vol 35, Issue 4, p1245
- ISSN
0748-8017
- Publication type
Article
- DOI
10.1002/qre.2457