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Technical Note—Proper Efficiency and the Linear Fractional Vector Maximum Problem

Author

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  • Eng Ung Choo

    (Simon Fraser University, Burnaby, British Columbia, Canada)

Abstract

A vector maximum problem arises when two or more criterion functions are to be simultaneously maximized over a feasible region. We prove that, in linear fractional vector maximum problems, every efficient solution satisfies the requirements of a restricted concept of efficiency, the notion of proper efficiency.

Suggested Citation

  • Eng Ung Choo, 1984. "Technical Note—Proper Efficiency and the Linear Fractional Vector Maximum Problem," Operations Research, INFORMS, vol. 32(1), pages 216-220, February.
    • Handle: RePEc:inm:oropre:v:32:y:1984:i:1:p:216-220
    DOI: 10.1287/opre.32.1.216
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    Cited by:

    1. Nguyen Thi Thu Huong & Nguyen Dong Yen, 2022. "Improperly efficient solutions in a class of vector optimization problems," Journal of Global Optimization, Springer, vol. 82(2), pages 375-387, February.
    2. N. T. T. Huong & J.-C. Yao & N. D. Yen, 2020. "Geoffrion’s proper efficiency in linear fractional vector optimization with unbounded constraint sets," Journal of Global Optimization, Springer, vol. 78(3), pages 545-562, November.

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