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Error Estimates for the Crude Approximation of the Trade-off Curve

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Multiple Criteria Decision Making

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 448))

Abstract

The crude global search that is used in Parameter Space Investigation provides an approximation of the trade-off curve. An estimate of the approximation error is obtained and numerical experiments confirm the estimate.

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References

  1. Sobol’, I.M.: On the search for extremal values of functions of several variables satisfying a general Lipschitz condition. Zh. Vychisl. Mat. i Mat. Fiz. 28(1988) 483–491 = USSR Comput. Maths. Math. Phys. 28(1988) 112-118.

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  4. Sobol’, I.M., and R.B. Statnikov: Selection of optimal parameters in problems with several criteria. Nauka, Moscow (in Russian), 1981.

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  5. Sobol’, I.M., V.I. Turchaninov, Yu.L. Levitan, B.V. Shukhman: Quasirandom Sequence Generators. Keldysh Inst. Appl. Maths, Russian Acad. Science, Moscow, 1992.

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Author information

Authors and Affiliations

  1. Institute for Mathematical Modelling of the Russian Academy of Sciences, 4 Miusskaya Square, Moscow, 125047, Russia

    I. M. Sobol’ & Yu. L. Levitan

Authors
  1. I. M. Sobol’
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  2. Yu. L. Levitan
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Editor information

Editors and Affiliations

  1. Fernuniversität Hagen, Fachbereich Wirtschaftswissenschaft, Feithstrasse l40/AVZ II, D-58097, Hagen, Germany

    Günter Fandel

  2. Thomas Hanne Fernuniversität Hagen Fachbereich Wirtschaftswissenschaft, Fach Operations Research und Wirtschaftsmathematik, Lütkenheider Strasse 2, D-58084, Hagen, Germany

    Tomas Gal

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© 1997 Springer-Verlag Berlin Heidelberg

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Sobol’, I.M., Levitan, Y.L. (1997). Error Estimates for the Crude Approximation of the Trade-off Curve. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59132-7_10

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  • DOI: https://doi.org/10.1007/978-3-642-59132-7_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62097-6

  • Online ISBN: 978-3-642-59132-7

  • eBook Packages: Springer Book Archive

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