Abstract
Four problems has been solved: the design engineering of ski, finding several parameters in underdetermined problem of mechanics, optimal flight control of ski-jumper and making a strategic, plan for a factory of bicycles. All are solved in the frames of one approach called Pareto-optimisation. Pareto-optimisation is a relatively new method of multi-objective optimisation that makes the job of experts making final decision much more transparent than in other multi-objective approaches involving the dialogue with operator. The problems solved are typical problems when multi-objective optimisation arises in engineering. Method demonstrated in this paper gives a powerful tool of multi-objective optimisation and enables statement and successful solution of such problems in practice of sports engineering.
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References
Fletcher C.A.J. (1984) Computational Galerkin methods. Springer-Verlag.
Mortensen U.K. (1996) Evolution in a microchip: A brief study into genetic algorithms. ESA: ESTEC Repro
Podgaets A.R., Seo, K., Jošt B., Štuhec S. (2004) Multicriterion optimisation of a ski jump. The Engineering of Sport 5: Proceedings of International Conference (Editors: M. Hubbard, R.D. Mehta, J.M. Pallis). 2, 440–446
Pontryagin L.S., Boltyanskii B.G., Gamkrelidze R.V., Mischenko E.F. (1961). Mathematical theory of optimal processes. Moscow: Phys Math Lit (in Russian).
Seo K., Watanabe, I., Murakami M. (2004a) Optimal flight technique for V-style ski jumping. Sport Engineering. 7, 1, 31–40
Seo K., Murakami, M., Yoshida K. (2004b). Aerodynamic force data for a V-style ski jumping flight. Sport Engineering. 7, 2, 97–104
Sobol I.M. and Statnikov R.B. (1981) Choosing optimal parameters in problems with many criteria. Moscow: Science (in Russian)
Sobol I.M. (1957) Multidimensional integrals and method of Monte-Karlo. Reports of Academy of Sciences of USSR. 114, 4, 706–709 (in Russian)
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Podgaets, A. et al. (2006). Some Problems of Pareto-Optimisation in Sports Engineering. In: Moritz, E.F., Haake, S. (eds) The Engineering of Sport 6. Springer, New York, NY. https://doi.org/10.1007/978-0-387-45951-6_7
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DOI: https://doi.org/10.1007/978-0-387-45951-6_7
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-34680-9
Online ISBN: 978-0-387-45951-6
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