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About a Gap between Multiobjective Optimization and Scalar Optimization

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Abstract

We explain the reason for the existence of a gap between multiobjective and scalar optimization proposed in Ref. 1, giving a characterization of this gap.

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References

  1. Wang, S. Y., and Yang, F.M., A Gap between Multiobjective Optimization and Scalar Optimization, Journal of Optimization Theory and Applications, Vol. 68, pp. 389–391, 1991.

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  2. Bazaraa, M. S., and Shetty, C. M., Foundations of Optimization, Springer Verlag, Berlin, Germany, 1976.

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  3. Wang, S. Y., A Note on Optimality Conditions in Multiobjective Programming, Systems Science and Mathematical Sciences, Vol. 1, pp. 184–190, 1988.

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  4. Li, Z. F., and Wang, S. Y., Lagrange Multipliers and Saddle Points in Multiobjective Programming, Journal of Optimization Theory and Applications, Vol. 83, pp. 63–81, 1994.

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Authors and Affiliations

  1. Dipartimento di Sistemi ed Istituzioni per l'Economia, Università di L'Aquila, L'Aquila, Italy

    M. CASTELLANI (Associate Professor)

  2. Dipartimento di Matematica Applicata, Università di Pisa, Pisa, Italy

    M. PAPPALARDO (Professor)

Authors
  1. M. CASTELLANI
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  2. M. PAPPALARDO
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CASTELLANI, M., PAPPALARDO, M. About a Gap between Multiobjective Optimization and Scalar Optimization. Journal of Optimization Theory and Applications 109, 437–439 (2001). https://doi.org/10.1023/A:1017526724872

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  • DOI: https://doi.org/10.1023/A:1017526724872

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