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On a global efficiency criterion in multiobjective variational control problems with path-independent curvilinear integral cost functionals

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  • Savin Treanţă

    (University Politehnica of Bucharest)

Abstract

In this paper, a global efficiency criterion is established for a class of multidimensional variational control problems governed by first order PDE&PDI constraints and path-independent curvilinear integral cost functionals. More precisely, a minimal efficiency criterion for a local efficient solution to be its global efficient solution in the considered optimization problem is formulated and proved. Also, the theoretical developments derived in the paper are accompanied by an example of a nonconvex optimization problem.

Suggested Citation

  • Savin Treanţă, 2022. "On a global efficiency criterion in multiobjective variational control problems with path-independent curvilinear integral cost functionals," Annals of Operations Research, Springer, vol. 311(2), pages 1249-1257, April.
    • Handle: RePEc:spr:annopr:v:311:y:2022:i:2:d:10.1007_s10479-020-03579-8
    DOI: 10.1007/s10479-020-03579-8
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    References listed on IDEAS

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    1. Pankaj Gupta & Riccardo Cambini & S. S. Appadoo, 2018. "Recent advances in optimization theory and applications (RAOTA-2016)," Annals of Operations Research, Springer, vol. 269(1), pages 1-2, October.
    2. Manuel Arana-Jiménez & Riccardo Cambini & Laura Carosi, 2018. "A reduced formulation for pseudoinvex vector functions," Annals of Operations Research, Springer, vol. 269(1), pages 21-27, October.
    3. Zang, I. & Choo, E.U. & Avriel, M., 1977. "On functions whose stationary points are global minima," LIDAM Reprints CORE 308, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    Full references (including those not matched with items on IDEAS)

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