عنوان
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Optimal truncated repetitive lot inspection with defect rates
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نوع پژوهش
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مقاله چاپ شده
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کلیدواژهها
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Producer and consumer risks Average, sample number, Poisson distribution, Integer nonlinear programming
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چکیده
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Single and repetitive sampling schemes are conventional methods for evaluating the qual- ity of lots or batches of products. Truncation repetitive sampling plans are introduced in this paper in order to significantly reduce the size of samples drawn from the lot. Under this scheme type, if a decision about the acceptance or rejection of the lots cannot be made in the original inspection, they can be reinspected, at most, a prefixed number of times. The Poisson distribution is assumed for the number of defects found in the samples drawn from the lot. Best truncated repetitive sampling plans are determined by solving integer nonlinear programming problems. A simplified methodology is suggested to obtain the plans with optimal inspection effort and controlled risks by using an iterative procedure. According to the results obtained, optimal truncated plans are shown to be better than the optimal single and repetitive schemes in reducing the average sample number of the inspection. An application to the manufacturing of glass is presented for illustrative purposes.
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پژوهشگران
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اکبر اصغر زاده (نفر چهارم)، اکرم کهنسال (نفر سوم)، آرتور فرناندز (نفر دوم)، کارلوس پرز گونزالس (نفر اول)
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