Economic Single-Sampling Plans Based on Different Probability Distributions Considering Inspection Errors | ||
| Journal of Quality Engineering and Production Optimization | ||
| مقاله 4، دوره 5، شماره 1، شهریور 2020، صفحه 55-64 اصل مقاله (560.98 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22070/jqepo.2020.2387.1048 | ||
| نویسندگان | ||
| Mohammad Saber Fallahnezhad1؛ Hasan Rasay* 2؛ Jamilh Darbeh3؛ Mahdi Nakhaeinejad4 | ||
| 1university of yazd | ||
| 2Kermanshah University of Technology | ||
| 3University of Science & Art | ||
| 4Department of industrial Engineering, Yazd University, Yazd, Iran | ||
| چکیده | ||
| As a traditional statistical quality control method, acceptance sampling plans are widely applied for quality assurance. In a sampling plan, with the aim of acceptance or rejection of a lot of martial, inspection is carried out to determine adherence to standards. Usually, it is assumed that the inspection of the items is error-free. In the present study, this assumption is relaxed. Using Bayesian inferences and considering inspection errors, three mathematical models are developed for the economic single-sampling plans. First, the model is developed based on Binomial distribution. Regarding the application of Poisson model in approximating Binomial distribution, the second model is developed based on Poisson distribution. The third model is presented considering Negative binomial (which is also known as Pascal Distribution). The models determine the sample size and acceptance number to minimize the expected inspection costs incurred during sampling. A numerical example is presented and sensitivity analyses are carried out. | ||
| کلیدواژهها | ||
| Acceptance sampling plan؛ Bayesian inferences؛ Inspection errors؛ Probability distribution | ||
| مراجع | ||
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