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Homotopy Method for a General Multiobjective Programming Problem

Author

Listed:
  • W. Song

    (Harbin Normal University)

  • G. M. Yao

    (Harbin College)

Abstract

In this paper, we present a combined homotopy interior-point method for a general multiobjective programming problem. The algorithm generated by this method associated to Karush–Kuhn–Tucker points of the multiobjective programming problem is proved to be globally convergent under some basic assumptions.

Suggested Citation

  • W. Song & G. M. Yao, 2008. "Homotopy Method for a General Multiobjective Programming Problem," Journal of Optimization Theory and Applications, Springer, vol. 138(1), pages 139-153, July.
    • Handle: RePEc:spr:joptap:v:138:y:2008:i:1:d:10.1007_s10957-008-9366-6
    DOI: 10.1007/s10957-008-9366-6
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    References listed on IDEAS

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    1. Garth P. McCormick, 1989. "The Projective SUMT Method for Convex Programming," Mathematics of Operations Research, INFORMS, vol. 14(2), pages 203-223, May.
    2. T. Maeda, 2004. "Second-Order Conditions for Efficiency in Nonsmooth Multiobjective Optimization Problems," Journal of Optimization Theory and Applications, Springer, vol. 122(3), pages 521-538, September.
    3. Renato D. C. Monteiro & Ilan Adler, 1990. "An Extension of Karmarkar Type Algorithm to a Class of Convex Separable Programming Problems with Global Linear Rate of Convergence," Mathematics of Operations Research, INFORMS, vol. 15(3), pages 408-422, August.
    4. Z.H. Lin & D.L. Zhu & Z.P. Sheng, 2003. "Finding a Minimal Efficient Solution of a Convex Multiobjective Program," Journal of Optimization Theory and Applications, Springer, vol. 118(3), pages 587-600, September.
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