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Strategies for Modeling, Approximation, and Decomposition in Genetic Algorithms Based Multidisciplinary Design

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 425))

Abstract

This chapter discusses the applicability of new computational paradigms motivated by biological processes, in the realm of multidisciplinary engineering design, and particularly, in the context of using formal methods of design optimization. The computational models considered in this discussion include genetic algorithms, neural networks, and a modeling of the biological immune system. The focus of the chapter is two-fold. First, it introduces the reader to the implementation of these newly emergent methods. Second, it describes how the use of these methods alleviates some of the difficulties associated with the application of formal optimization methods in practical design problems. Such problems are typically characterized by the presence of a large number of design variables and constraints, the need to consider multiple objective criterion, and, in some cases, a fuzzy description of design specifications. The analysis associated with the multidisciplinary design problem is both complex and computationally expensive. The discussion focuses on methods to reduce the computational effort through development of efficient optimal search algorithms, and in the efficient management of couplings in the analysis problem.

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References

  • Abdi, F., Ide, H., Levine, M., and Austel, L., (1988). The Art of Spacecraft Design: A Multidisciplinary Challenge. 2nd NASA/Air Force Symposium on Recent Advances in Multidisciplinary Analysis and Optimization, NASA CP-3031.

    Google Scholar 

  • Barron, A.R., (1992). Neural Network Approximation. In Proceedings of the Seventh Yale Workshop on Adaptive and Learning Systems, Yale University, New Haven, CT, 69–72.

    Google Scholar 

  • Bauchau, O.A., and Kang, N.K., (1993). A Multibody Formulation for Helicopter Structural Dynamic Analysis. Journal of American Helicopter Society, 38: 3–14.

    Article  Google Scholar 

  • Cordon, O., and Herrera, F., (1995). A General Study on Genetic Fuzzy Systems. In Periaux J., and Winter G., eds., Genetic Algorithms in Engineering and Computer Science John Wiley and Sons Limited, England.

    Google Scholar 

  • Dorigo, M., and Schnepf, U., (1991). Organization of Robot Behaviour Through Genetic Learning Process. In Proceedings of the 5th International Conference on Advanced Robotics,The Institution of Electrical and Electronics Engineering, Pisa, Italy.

    Google Scholar 

  • Fogel, L.J., Owens, A.J., and Walsh, M.J., (1966). Artificial Intelligence Through Simulated Evolution. Wiley Publishing, New York.

    MATH  Google Scholar 

  • Forrest, S., (1985). Implementing Semantic Network of Structures Using the Classifier System. In Proceedings of the 1st International Conference on Genetic Algorithms Hillsdale, New Jersey, Lawrence Erlbaum Associates, 80–92.

    Google Scholar 

  • Goel, S., and Hajela, P., (1997). Adaptive Optimization Technique Using Classifiers Based Machine Learning Paradigm. In Proceedings of the 38th AIAA/ASME/ASCE/AHS Structures, Structural Dynamics and Materials Conference Kissimmee, Florida.

    Google Scholar 

  • Goel, S., and Hajeia, P., (1998). Turbine Aerodynamic Design Using Reinforcement Learning Optimization. The 7th AIAA/NASA/ISSMO. USAF Multidisciplinary Analysis and Optimization Meeting St. Louis, Missouri.

    Google Scholar 

  • Goldberg, D.E., (1983). Computer-Aided Pipeline Operation Using Genetic Algorithms and Rule-Learning. Ph.D. Dissertation. University of Michigan, Ann Arbor, Michigan.

    Google Scholar 

  • Haftka, R.T., and Gurdal, Z., (1993). Elements of Structural Optimization. Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Hajela, P., (1981). Further Developments in the Controlled Growth Approach for Optimum Structural Synthesis. In Proceedings of the 12th Design Automation Conference September 12–15, Arlington, Virginia, American Society of Mechanical Engineers, Paper 82-DET-62.

    Google Scholar 

  • Hajela, P., (1997). Stochastic Search in Discrete Structural Optimization — Simulated Annealing, Genetic Algorithms and Neural Networks. In Gutkowski W., ed., Discrete Structural Optimization Springer, New York, 55–134.

    Google Scholar 

  • Hajela, P., and Kim, B., (1998). Classifier Systems for Enhancing Neural Network Based Global Function Approximations. In Proceedings of the 7th AIAA/NASA/ISSMO/USAF Multidisciplinary Analysis and Optimization Meeting St. Louis Missouri.

    Google Scholar 

  • Hajela, P., and Kim, B., (1999). GA Based Learning in Cellular Automata Models for Structural Analysis. In Proceedings of the 3rd World Congress on Structural and Multidisciplinary Optimization Niagara Falls, New York.

    Google Scholar 

  • Hajela, P., and Kim, B., (2000). On the Use of Energy Minimization for CA Based Analysis in Elasticity. In Proceedings of the 41S t AIAA/ASME/ASCE/AHS SDM Meeting, April 1–3, Atlanta, Georgia.

    Google Scholar 

  • Hajela, P., and Lin, C.-Y., (2000). Real Versus Binary Coding in Genetic Algorithms — A Comparative Study. In Proceedings of the 5th International Conference on Computational Structures Technology, September 6–8, Leuven, Belgium.

    Google Scholar 

  • Hardy, J., De Pazzis, O., and Pomeau, Y., (1976). Molecular Dynamics of a Classical Lattice Gas: Transport Properties and time Correlation Functions. Physics Review A13: 1949–1960.

    Article  ADS  Google Scholar 

  • Hecht-Nielsen, R., (1987). Counterpropagation Networks. Journal of Applied Optics 26: 4979–84.

    Article  Google Scholar 

  • Holland, J.H., (1962). Outline for a Logical Theory of Adaptive Systems. Journal of the Association of Computing Machinery 3: 297–314.

    Article  Google Scholar 

  • Holland, J.H., (1974). Adaptation in Natural and Artificial Systems. University of Michigan Press, Ann Arbor, Michigan.

    Google Scholar 

  • Holland, J.H., (1985). Properties of the Bucket-Brigade Algorithm. In Proceedings of the 1st International Conference on Genetic Algorithms Hillsdale, New Jersey, Lawrence Erlbaum Associates, 1–7.

    Google Scholar 

  • Karr, C.L., and Gentry, E.J., (1993). Fuzzy Control of pH Using Genetic Algorithms. The Institution of Electrical and Electronics Engineering Transactions on Fuzzy Systems 1: 46–53.

    Google Scholar 

  • Krishna Kumar, K., and Satyadas, A., (1995). Space Station Fuzzy Models and its application to an aircraft control problem. In Periaux J., and Winter G., eds., Genetic Algorithms in Engineering and Computer Science John Wiley and Sons Limited, England.

    Google Scholar 

  • Lee, J., and Hajela, P., (2000). An Application of Classifier Systems in Improving Response Surface Based Approximations for Design Optimization. Computers and Structures, 4 to appear.

    Google Scholar 

  • LeRiche, R., and Haftka, R.T., (1993). Optimization of Laminate Stacking Sequence for Buckling Load Maximization by Genetic Algorithms. American Institute of Aeronautics and Astronautics Journal 31: 951–956.

    Article  Google Scholar 

  • Lin, C.-Y., (1990). Genetic Search Methods for Multicriterion Optimal Design of Viscoelastically Damped Structures. Ph.D. Dissertation, University of Florida, Florida.

    Google Scholar 

  • Lin, C.-Y., and Hajela, P., (1993). Genetic Search Strategies in Large Scale.Optimization. In Proceedings of the 34th AIAA/ASME/ASCE/AHS/ASC SDM Conference La Jolla, California, 2437–2447.

    Google Scholar 

  • Orszag, S., and Yakhot, V., (1986). Reynolds Numbers Scaling of Cellular-Automaton Hydrodynamics. Physics Review Letters 56: 1691–1693.

    Article  ADS  Google Scholar 

  • Rechenberg, I., (1973). Evolutionsstrategie: Optimierung Technischer System nach Prinzipien der Biologischen Evolution. Frommann-Holzboog, Stuttgart.

    Google Scholar 

  • Richards, R.A., (1995). Zeroth-Order Shape Optimization Utilizing A Learning Classifier System. Ph.D. Dissertation Stanford University, Stanford, California.

    Google Scholar 

  • Rumelart, D.E., and McClelland, J.L., (1988). Parallel Distributed Processing. Volume 1, The MIT Press, Cambridge, Massachussets.

    Google Scholar 

  • Rumelart, D.E., and McClelland, J.L., (1988). Parallel Distributed Processing. Volume 2, The MIT Press, Cambride, Massachussets.

    Google Scholar 

  • Satyadas, A., and Krishna Kumar, K., (1994). Evolutionary Fuzzy Techniques for Fuzzy Controller Synthesis. In Proceedings of the First Industry/University Symposium on Research for Future Supersonic and Hypersonic Vehicles North Carolina, TSI Press, New Mexico, 148–155.

    Google Scholar 

  • Schraudolph, N.N., and Belew, R.K., (1992). Dynamic Parameter Encoding for Genetic Algorithms. Machine Learning 9: 9–21.

    Google Scholar 

  • Smith, R.E., Forrest, S., and Perelson, A.S., (1992). Searching for Diverse Cooperative Populations with Genetic Algorithms. Technical Report CS92–3 University of New Mexico, Department of Computer Science, Albuquerque, New Mexico.

    Google Scholar 

  • Sobieszczanski-Sobieski, J., (1993). Multidisciplinary Design Optimization: An Emerging New Engineering Discipline. In Proceedings World Congress on Optimal Design of Structural Systems Rio de Janeiro, Brazil, August 2–6.

    Google Scholar 

  • Szewczyk, Z., and Hajela, P., (1992). Feature Sensitive Neural Networks in Structural Response Estimation. In Proceedings of the ANNIE’92, Artificial Neural Networks in Engineering Conference November.

    Google Scholar 

  • Tolson, R.H., and Sobieszczanski-Sobieski, J., (1985). Multidisciplinary Analysis and Synthesis: Needs and Opportunities. American Institute of Aeronautics and Astronautics Paper No. 85–0584.

    Google Scholar 

  • Wilson, S.W., (1986). Classifier System Learning of a Boolean Function. Research Memo RIS No 27r The Rowland Institute of Science, Cambridge, Massachussets.

    Google Scholar 

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© 2001 Springer-Verlag Wien

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Hajela, P. (2001). Strategies for Modeling, Approximation, and Decomposition in Genetic Algorithms Based Multidisciplinary Design. In: Blachut, J., Eschenauer, H.A. (eds) Emerging Methods for Multidisciplinary Optimization. International Centre for Mechanical Sciences, vol 425. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2756-8_6

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  • DOI: https://doi.org/10.1007/978-3-7091-2756-8_6

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83335-3

  • Online ISBN: 978-3-7091-2756-8

  • eBook Packages: Springer Book Archive

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