| Autor: |
Hina Khan, Michael B. C. Khoo, Shan-e Fatima, Sin Yin Teh, Hudabia Amir, Yasar Mahmood |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
Computers & Industrial Engineering. 159:107526 |
| ISSN: |
0360-8352 |
| DOI: |
10.1016/j.cie.2021.107526 |
| Popis: |
The present study presents additional properties of Topp-Leone Gompertz (TL-G) distribution developed by Nzei et al. (2020). All derived mathematical properties play an essential role in reliability analysis. The aim is not only to derive properties of TL-G distribution but also to develop acceptance sampling plans for lot sentencing in which the quality characteristic of the products follows the TL-G distribution. Two acceptance sampling plans, single and repetitive, based on TL-G distribution using the time truncated scheme, have been considered. The application has been observed on a real dataset of the strength of 1.5 cm glass fiber. A simulation-based study has also been conducted when the quality characteristic of the items follows the TL-G distribution. The effect of the misspecification of the parameters has been discussed for the repetitive acceptance sampling plan. Optimal parameters and the minimum average sample number have been obtained for both plans by satisfying consumer’s and producer’s risks simultaneously. The findings indicate that the sample size and acceptance number decrease as the termination ratio, consumer’s risk, and acceptable quality level increase. The repetitive sampling plan performs better than the single sampling plan in terms of sample size and the probability of accepting a lot of products whose lifetime follows the TL-G distribution. It has also been concluded that there is no misspecification of the TL-G distribution parameters for the termination ratio, a = 1.0 . Hence, the same repetitive sampling plans can be used for lot sentencing. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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