The tolerance allocation problem consists of choosing tolerances on dimensions of a complex assembly so that they combine into an ‘optimal state’ whileretaining certain requirements. This optimal state often coincides with the minimum manufacturing cost of the product. Sometimes it is balanced with an artificial cost that the deviation from target induces on the quality of the product.
This paper analyses and suggests a solution to the discrete allocation problem. It also extends the problem to include treating general loss functions. General loss in this paper means an arbitrary polynomial function of a certain degree. We also briefly review the current work that has been made on solving the tolerance allocation problem.
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References
[Chase and Parkinson, 1991] Chase, K.; Parkinson, A. R.; “A Survey of Research in the Application of Tolerance Analysis to the Design of Mechanical Assemblies”; ADCATS Report No. 91–1 April 1991.
[Choiet al., 2000] Choi, H-G. R.; Park, M.-H.; Salisbury, E.; “Optimal Tolerance Allocation With Loss Functions”; Journal of Manufacturing Science and Engineering; ASME; vol. 122; pp. 529–535; August 2000.
[Chen and Fischer, 2000] Chen, T-C.; Fischer, G.W.; “A GA-Based Search Method for the Tolerance Allocation Problem”; Artificial Intelligence in Engineering; Vol. 14; No. 2; pp.133–141; April 2000.
[Do and Ko, 2000] Do, D.-Z.; Ko, K.-I.; “Theory of Computational Complexity”; New York; Wiley; 2000; ISBN 0-471-34506-7.
[Heath, 1997] Heath, M., T.; “Scientific Computing: An Introduction Survey”; pp. 245–249; McGraw-Hill 1997; ISBN 0-07-115336-5.
[Hermansson and Lööf, 2005] Hermansson, T.; Lööf, J.; “Allokering av symmetriska toleranser i komplexa sammansättningar”; Master Thesis; Göteborgs Universitet; 2005.
[Hong and Chang, 2002] Hong, Y. S.; Chang, T-C.; “A Comprehensive Review of Tolerancing Research”; International Journal of Production Research; 2002; Vol. 40; No. 11; pp. 2425–2459.
[Iannuzzi and Sandgren, 1994] Iannuzzi, M.; Sandgren, E.; “Optimal Tolerancing: The Link Between Design and Manufacturing Productivity”; Design Theory and Methodology; ASME DTM ’94, pp. 29–42.
[Lee and Woo, 1989] Lee, W-J.; Woo T. C.; “Optimum Selection of Discrete Tolerances”; Journal of Mechanisms, Transmission, and Automation in Design; ASME; June 1989; Vol. 111; pp. 243–251.
[Nash and Sofer, 1996] Nash, S. G.; Sofer, A.; “Linear and Nonlinear Programming”; pp. 144–180; McGraw-Hill 1996; ISBN 0-07-114537-0.
[Ostwald and Huang, 1977] Ostwald, P. F.; Huang, J.; “A Method for Optimal Tolerance Selection”; Journal of Engineering for Industry; ASME, Vol.99, Aug. 1977, pp. 558–565.
[Prabhaharanet al., 2004] Prabhaharan, G.; Asokan, P.; Ramesh, P.; Rajendran, S.; ”Genetic-Algorithm-Based Optimal Tolerance Allocation Using a Least-Cost Model”; The International Journal of Advanced Manufacturing Technology”; November 2004; Vol. 24; No. 9–10; pp. 647–660.
[RD&T, 2002] RD&T Software Manual, RD&T Technology AB, Mölndal, Sweden, 2002.
[Söderberg, 1995] Söderberg, R.; “On Functional Tolerances in Machine Design”; Machine and Vehicle Design, Chalmers University of Technology, Göteborg, Sweden, 1995; ISBN 91-7197-129-7.
[Taguchiet al., 1989] Taguchi, G.; Elsayed, E. A.; Hsiang T. C.; “Quality Engineering in Production Systems”; McGraw-Hill; 1989; ISBN 0-07-062830-0.
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Lööf, J., Hermansson, T., Söderberg, R. (2007). An Efficient Solution to the Discrete Least-Cost Tolerance Allocation Problem with General Loss Functions. In: Davidson, J.K. (eds) Models for Computer Aided Tolerancing in Design and Manufacturing. Springer, Dordrecht. https://doi.org/10.1007/1-4020-5438-6_13
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