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A learning classifier system for three-dimensional shape optimization

  • Applications of Evolutionary Computation Evolutionary Computation in Mechanical, Chemical, Biological, and Optical Engineering
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Parallel Problem Solving from Nature — PPSN IV (PPSN 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1141))

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Abstract

A learning classifier system complex is developed in order to accomplish the broader goal of developing a methodology to perform generalized zeroth-order two- and three-dimensional shape optimization. Specifically, the methodology has the objective of determining the optimal boundary to minimize mass while satisfying constraints on stress and geometry. Even with the enormous advances in shape optimization no method has proven to be satisfactory across the broad spectrum of optimization problems facing the modern engineer. Similarly the available software in the field of learning classifier systems is so embryonic that a new software package had to be developed for this application. The shape optimization via hypothesizing inductive classifier system complex (SPHINcsX) instantiates the methodology in a software package overcoming many of the limitations of today's conventional shape optimization techniques, while advancing the state-of-the-art in classifier system software tools.

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Bibliography

  • Belegundu, Ashok D., “Optimizing the Shapes of Mechanical Components”, Mechanical Engineering, January 1993, pp. 46–48.

    Google Scholar 

  • Chargin, Mladin K., Ingo Raasch, Ralph Bruns, and Dawson Deuermeyer. “General Shape Optimization Capability”, Finite Elements in Analysis and Design, Vol. 7, 1991, pp. 343–354.

    Article  Google Scholar 

  • Dorigo, Marco and Enrico Sirtori, “Alecsys: A Parallel Laboratory for Learning Classifier Systems”, Proceedings of Fourth International Conference on Genetic Algorithms-July 13–16, 1991-San Diego-California, Morgan Kaufmann, San Mateo, CA.

    Google Scholar 

  • Goldberg, D.D., Genetic Algorithms in Search, Optimization & Machine Learning, Addison-Wesley, NY, 1989.

    Google Scholar 

  • Haftka, R.T., and R.V. Grandhi, “Structural Shape Optimization — A Survey”, Computer Methods in Applied Mechanics and Engineering, Elsevier Science Publishers B.V., North-Holland, 1986, pp. 91–106.

    Google Scholar 

  • Holland, J.H. and J.S. Reitman, “Cognitive Systems Based on Adaptive Algorithms”, in D.A. Waterman and F. Hayes-Roth (eds.), Pattern-Directed Inference Systems, Academic Press, NY, 1978.

    Google Scholar 

  • Hsu, Y.L, Zeroth Order Optimization Methods of Two Dimensional Shape Optimization, Ph.D. Dissertation, Department of Mechanical Engineering, Stanford University, 1992.

    Google Scholar 

  • Jensen, Eric Dean, Topological Structural Design Using Genetic Algorithms, Ph.D. Dissertation, Purdue University, Lafayette, IN, 1992.

    Google Scholar 

  • Kodiyalam, Srinivas, Virendra Kumar and Peter M. Finnigan, “Constructive Solid Geometry Approach to Three-Dimensional Structural Shape Optimization”, AIAA Journal, Vol. 30, No. 5, May 1992, pp. 1408–1415.

    Google Scholar 

  • Richards, Robert A., Three-dimensional Shape Optimization Utilizing a Learning Classifier System. In Koza, John R., Goldberg, David E., Fogel, David B., and Riolo, Rick L. (editors). Genetic Programming 1996: Proceedints of the First Annual Conference, July 28–31, 1996, Stanford University. Cambridge, MA: The MIT Press. 1996. Pages 539–546.

    Google Scholar 

  • Richards, Robert A., Zeroth-Order Shape Optimization Utilizing a Learning Classifier System, Ph.D. Dissertation, Stanford University, Stanford, CA, 1995.

    Google Scholar 

  • Riolo, Rick L., Empirical Studies of Default Hierarchies and Sequences of Rules in Learning Classifier Systems, Ph.D. Dissertation, Computer Science and Engineering Department, University of Michigan, 1988.

    Google Scholar 

  • Wilson, Stewart W., “ZCS: A Zeroth Level Classifier System”, Evolutionary Computation, Vol. 2, No. 1, Spring 1994, pp. 1–18.

    Google Scholar 

  • Zienkiewicz, O. C., and J.S. Campbell, “Shape Optimization and Sequential Linear Programming”, Gallagher, R.H. and Zienkiewicz, O.C. (eds.), Optimal Structural Design, Wiley, NY, 1973.

    Google Scholar 

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Hans-Michael Voigt Werner Ebeling Ingo Rechenberg Hans-Paul Schwefel

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© 1996 Springer-Verlag Berlin Heidelberg

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Richards, R.A., Sheppard, S.D. (1996). A learning classifier system for three-dimensional shape optimization. In: Voigt, HM., Ebeling, W., Rechenberg, I., Schwefel, HP. (eds) Parallel Problem Solving from Nature — PPSN IV. PPSN 1996. Lecture Notes in Computer Science, vol 1141. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-61723-X_1066

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  • DOI: https://doi.org/10.1007/3-540-61723-X_1066

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