Correction factors for Shewhart X and X-bar control charts to achieve desired unconditional ARL
| Autor: | Rob Goedhart, Ronald J. M. M. Does, Marit Schoonhoven |
|---|---|
| Přispěvatelé: | Operations Management (ABS, FEB) |
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Engineering
021103 operations research Average run length business.industry Estimation theory Strategy and Management 0211 other engineering and technologies Process (computing) 02 engineering and technology Management Science and Operations Research 01 natural sciences Measure (mathematics) Industrial and Manufacturing Engineering 010104 statistics & probability Statistics Econometrics Process control Control chart 0101 mathematics business Shewhart individuals control chart \bar x and R chart |
| Zdroj: | International Journal of Production Research, 54(24), 7464-7479. Taylor and Francis Ltd. |
| ISSN: | 0020-7543 |
| Popis: | In this paper we derive correction factors for Shewhart control charts that monitor individual observations as well as subgroup averages. In practice, the distribution parameters of the process characteristic of interest are unknown and, therefore, have to be estimated. A well-known performance measure within Statistical Process Monitoring is the expectation of the average run length (ARL), defined as the unconditional ARL. A practitioner may want to design a control chart such that, in the in-control situation, it has a certain expected ARL. However, accurate correction factors that lead to such an unconditional ARL are not yet available. We derive correction factors that guarantee a certain unconditional in-control ARL. We use approximations to derive the factors and show their accuracy and the performance of the control charts – based on the new factors – in out-of-control situations. We also evaluate the variation between the ARLs of the individually estimated control charts. |
| Databáze: | OpenAIRE |
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