A combined variable sampling interval and double sampling control chart with auxiliary information for the process mean
| Autor: | Abdul Haq, Michael B. C. Khoo, Adamu Abubakar Umar, Sajal Saha |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
021103 operations research
Computer science 0211 other engineering and technologies Process (computing) 02 engineering and technology Interval (mathematics) Variable sampling 01 natural sciences 010104 statistics & probability Double sampling Feature (computer vision) Control chart 0101 mathematics Instrumentation Algorithm |
| Zdroj: | Transactions of the Institute of Measurement and Control. 42:1151-1165 |
| ISSN: | 1477-0369 0142-3312 |
| DOI: | 10.1177/0142331219885525 |
| Popis: | In recent years, the suitable use of auxiliary information technique in control charts has shown an improved run length performance compared to control charts that do not have this feature. This article proposes a combined variable sampling interval (VSI) and double sampling (DS) chart using the auxiliary information (AI) technique (called VSIDS-AI chart, hereafter). The plotting-statistic of the VSIDS-AI chart requires information from both the study and auxiliary variables to efficiently detect process mean shifts. The charting statistics, optimal design and performance assessment of the VSIDS-AI chart are discussed. The steady-state average time to signal (ssATS) and steady-state expected average time to signal (ssEATS) are considered as the performance measures. The ssATS and ssEATS results of the VSIDS-AI chart are compared with those of the DS AI, variable sample size and sampling interval AI, exponentially weighted moving average AI (EWMA-AI) and run sum AI (RS-AI) charts. The results of comparison show that the VSIDS-AI chart outperforms the charts under comparison for all shift sizes, except the EWMA-AI and RS-AI charts for small shift sizes. An illustrative example is provided to demonstrate the implementation of the VSIDS-AI chart. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|