Optimal Tolerance Allocation With Loss Functions

Author:

Choi Hoo-Gon R.1,Park Man-Hee1,Salisbury Erik2

Affiliation:

1. School of Systems Management Engineering, Sung Kyun Kwan University, Suwon, 440-746, Kyong Ki Do, S. Korea

2. Varatech Engineering Consultants, 305 Hoover Street, Suite 400, Holland, MI 49423

Abstract

The tolerance allocation problem is formulated as a nonlinear integer model under the constraints of process capability. The problem is to minimize the sum of machining cost and quality loss. When the statistical tolerance limits are used and Taguchi’s quadratic loss function is defined, the total cost function becomes a convex function for a given feature and process. A complex search method is used to solve the model and ensure the optimal tolerance allocation. Numerical examples are presented demonstrating successful model implementation for both linear and nonlinear design functions. [S1087-1357(00)02602-2]

Publisher

ASME International

Subject

Industrial and Manufacturing Engineering,Computer Science Applications,Mechanical Engineering,Control and Systems Engineering

Reference19 articles.

1. Zeid, L., 1993, CAD/CAM Theory and Practice, McGraw-Hill, New York, Chap. 16.

2. Taguchi, G., 1986, Introduction to Quality Engineering, Asian Productivity Organization, Tokyo, Chap. 2–3.

3. Speckhart, F. H. , 1972, “Calculation of Tolerance Based on a Minimum Cost Approach,” J. Eng. Ind., 94, pp. 447–453.

4. Chase, W., Greenwood, W. H., Loosli, B. G., and Hauglund, L. F., 1990, “Least Cost Tolerance Allocation for Mechanical Assemblies with Automated Process Selection,” ASME Manuf. Rev., 3, pp. 49–59.

5. Spotts, J. F. , 1973, “Allocation of Tolerancing to Minimize Cost of Assembly,” J. Eng. Ind., 95, pp. 762–764.

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