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Selection of Rapid Manufacturing Technologies Under Epistemic Uncertainty

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Rapid Prototyping

Part of the book series: Manufacturing Systems Engineering Series ((MSES,volume 6))

Abstract

Rapid Prototyping (RP) is the process of building three-dimensional objects, in layers, using additive manufacturing. Rapid Manufacturing (RM) is the use of RP technologies to manufacture end-use, or finished, products. At small lot sizes, such as with customized products, traditional manufacturing technologies become infeasible due to the high costs of tooling and setup. RM offers the opportunity to produce these customized products economically. Coupled with the customization opportunities afforded by RM is a certain degree of uncertainty. This uncertainty is mainly attributed to the lack of information known about what the customer’s specific requirements and preferences are at the time of production. In this paper, we present an overall method for selection of a RM technology under the geometric uncertainty inherent to mass customization. Specifically, we define the types of uncertainty inherent to RM (epistemic), propose a method to account for this uncertainty in a selection process (interval analysis), and propose a method to select a technology under uncertainty (Hurwicz selection criterion). We illustrate our method with examples on the selection of an RM technology to produce custom caster wheels and custom hearing aid shells.

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References

  1. T. Wohlers, Wohlers Report 2004: Rapid Prototyping, Tooling, & Manufacturing State of the Industry (2004).

    Google Scholar 

  2. M.G. Fernandez, C.C. Seepersad, D.W. Rosen, J.K. Allen, and F. Mistree, Utility-Based Decision Support for Selection in Engineering Design. ASME Design Engineering Technical Conference and Computers and Information in Engineering Conference. 2001. Pittsburgh, Pennsylvania: ASME (2001).

    Google Scholar 

  3. L. Cheng, E. Subrahmanian, and A.W. Westerberg, Design and planning under uncertainty: issues on problem formulation and solution. Computers & Chemical Engineering, 27, 781–801 (2001).

    Article  Google Scholar 

  4. J.N. Siddall ed, Probabilistic Engineering Design., Marcel Dekker: New York (1983).

    Google Scholar 

  5. S. Vadde, J.K. Allen, and F. Mistree, Catalog Design: Selection using available assets, Engineering Optimization, 25, 45–64 (1995).

    Google Scholar 

  6. J.K Allen, The Decision to Introduce New Technology: The Fuzzy Preliminary Selection Decision Support Problem. Engineering Optimization, 26, 61–77 (1996).

    Google Scholar 

  7. R.P. Reddy, and F. Mistree, Modeling Uncertainty in Selection using Exact Interval Arithmetic, Design Theory and Methodology, ASME.(1992).

    Google Scholar 

  8. H.-R. Bae, R.V. Grandhi, and R.A. Canfield, Epistemic uncertainty quantification techniques including evidence theory for large-scale structures, Computers & Structures, 82, 1101–1112 (2002).

    Article  Google Scholar 

  9. P.S. Laplace, Essai Philosphique sur les Probabilites. 1825, Paris: Translation published by Dover, New York (1952).

    Google Scholar 

  10. S. French, Decision Theory: An Introduction to the Mathematics of Rationality, Chichester: Ellis Horwood Limited (1986).

    Google Scholar 

  11. S.S. Rao, and L. Cao, Optimum Design of Mechanical Systems Involving Interval Parameters, ASME Journal of Mechanical Engineering, 124, 465–472 (2002).

    Google Scholar 

  12. R.E. Moore, Interval Analysis, Englewood Cliffs, NJ: Prentice-Hall (1996).

    Google Scholar 

  13. H.M. Regan, M. Colyvan, and M.A. Burgman, A Taxonomy and Treatment of Uncertainty for Ecology and Conservation Biology. Ecological Applications, 12(2), 618–628 (2002).

    Google Scholar 

  14. S. Ferson, and L.R. Ginzburg, Different methods are needed to propagate ignorance and variability. Reliability Engineering and System Safety, 54, 133–144 (1996).

    Article  Google Scholar 

  15. A. Rapoport, Decision Theory and Decision Behavior: Normative and Descriptive Approaches, Dordrecht/ Boston/ London: Kluwer Academic Publishers (1989).

    Google Scholar 

  16. L. Hurwicz, Optimality criteria for decision making under ignorance, in Cowles Commision Discussion Paper No. 370 (mimeographed) (1951).

    Google Scholar 

  17. M.G. Fernandez, On Decision Support for Distributed Collaborative Design and Manufacture, Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA (2002).

    Google Scholar 

  18. F. Mistree, W.F. Smith, B. Bras, J.K. Allen, and D. Muster. Decision-Based Design: A Contemporary Paradigm for Ship Design, Transactions, Society of Naval Architects and Marine Engineers, Jersey City, New Jersey (1990).

    Google Scholar 

  19. A. Hermann, and J.K. Allen, Selection of Rapid Tooling Materials and Processes in a Distributed Design Environment, ASME Design Engineering Techical Conferences, Las Vegas, Nevad, SME (1999).

    Google Scholar 

  20. E. Bascaran, R.B. Bannerot, and F. Mistree, Hierarchical Selection Decision Support Problems in Conceptual Design, Engineering Optimization, 14, 207–238 (1989).

    Google Scholar 

  21. M. Masters, Direct Manufacturing of Custom-Made Hearing Instruments, SME Rapid Prototyping Conference, Cincinnati, OH (2002).

    Google Scholar 

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© 2006 Springer Science+Business Media, Inc.

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Wilson, J.O., Rosen, D. (2006). Selection of Rapid Manufacturing Technologies Under Epistemic Uncertainty. In: Kamrani, A., Nasr, E.A. (eds) Rapid Prototyping. Manufacturing Systems Engineering Series, vol 6. Springer, Boston, MA. https://doi.org/10.1007/0-387-23291-5_11

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  • DOI: https://doi.org/10.1007/0-387-23291-5_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-387-23290-4

  • Online ISBN: 978-0-387-23291-1

  • eBook Packages: EngineeringEngineering (R0)

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