Integrating the Lambert W function to a tolerance optimization problem

Sangmun Shin, Madhumohan S. Govindaluri, Byung Rae Cho*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمراجعة النظراء

18 اقتباسات (Scopus)

ملخص

This paper explores the integration of the Lambert W function to a tolerance optimization problem with the assessment of costs incurred by both the customer and a manufacturer. By trading off manufacturing and rejection costs, and a quality loss, this paper shows how the Lambert W function, widely used in physics, can be efficiently applied to the tolerance optimization problem, which may be the first attempt in the literature related to tolerance optimization and synthesis. Using the concept of the Lambert W function, a closed-form solution is derived, which may serve as a means for quality practitioners to make a quick decision on their optimal tolerance without resorting to rigorous optimization procedures using numerical methods. A numerical example is illustrated and a sensitivity analysis is performed.

اللغة الأصليةEnglish
الصفحات (من إلى)795-808
عدد الصفحات14
دوريةQuality and Reliability Engineering International
مستوى الصوت21
رقم الإصدار8
المعرِّفات الرقمية للأشياء
حالة النشرPublished - ديسمبر 2005
منشور خارجيًانعم

ASJC Scopus subject areas

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