Tolerance optimization using the Lambert W function: An empirical approach

M. S. Govindaluri, S. Shin, B. R. Cho

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

This paper explores the integration of the Lambert W function to a tolerance optimization problem with two unique features. First, the Taguchi loss function has been a popular tool for quantifying a quality loss incurred by the customer. This paper utilizes an empirical approach based on a well-established regression analysis, which may be more appealing to engineers and better capture the customer's perception of product performance. Second, by trading off manufacturing and rejection costs incurred by a manufacturer and quality loss incurred by the customer, this paper shows how the Lambert W function, widely used in physics, can be efficiently applied, which is perhaps the first attempt in the literature related to tolerance optimization and synthesis. Using the concept of the Lambert W function, this paper derives a closed-form solution, which may serve as a means for quality practitioners to make a quick decision on their optimal tolerances without resorting to rigorous optimization procedures using numerical methods. A numerical example is illustrated and a sensitivity analysis is performed.

Original languageEnglish
Pages (from-to)3235-3251
Number of pages17
JournalInternational Journal of Production Research
Volume42
Issue number16
DOIs
Publication statusPublished - Aug 15 2004

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Regression analysis
Sensitivity analysis
Numerical methods
Physics
Engineers
Tolerance
Costs
Taguchi loss function
Optimization problem
Manufacturing
Closed-form solution
Customer perception

ASJC Scopus subject areas

  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering

Cite this

Tolerance optimization using the Lambert W function : An empirical approach. / Govindaluri, M. S.; Shin, S.; Cho, B. R.

In: International Journal of Production Research, Vol. 42, No. 16, 15.08.2004, p. 3235-3251.

Research output: Contribution to journalArticle

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