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Multiobjective fractional programming duality theory

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  • C. Singh
  • M.A. Hanson

Abstract

Results of Geoffrion for efficient and properly efficient solutions of multiobjective programming problems are extended to multiobjective fractional programming problems. Duality relationships are given for these problems where the functions are generalized convex or invex.

Suggested Citation

  • C. Singh & M.A. Hanson, 1991. "Multiobjective fractional programming duality theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(6), pages 925-933, December.
    • Handle: RePEc:wly:navres:v:38:y:1991:i:6:p:925-933
    DOI: 10.1002/nav.3800380610
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    References listed on IDEAS

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    1. Siegfried Schaible, 1976. "Fractional Programming. I, Duality," Management Science, INFORMS, vol. 22(8), pages 858-867, April.
    2. Nykowski, Ireneusz & Zolkiewski, Zbigniew, 1985. "A compromise procedure for the multiple objective linear fractional programming problem," European Journal of Operational Research, Elsevier, vol. 19(1), pages 91-97, January.
    3. A. Charnes & W. W. Cooper, 1962. "Programming with linear fractional functionals," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 9(3‐4), pages 181-186, September.
    4. Harold P. Benson, 1985. "Note---Finding Certain Weakly-Efficient Vertices in Multiple Objective Linear Fractional Programming," Management Science, INFORMS, vol. 31(2), pages 240-248, February.
    5. Siegfried Schaible, 1976. "Duality in Fractional Programming: A Unified Approach," Operations Research, INFORMS, vol. 24(3), pages 452-461, June.
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    Cited by:

    1. Altannar Chinchuluun & Panos Pardalos, 2007. "A survey of recent developments in multiobjective optimization," Annals of Operations Research, Springer, vol. 154(1), pages 29-50, October.
    2. Jinjin Gu & Yuan Cao & Min Wu & Min Song & Lin Wang, 2022. "A Novel Method for Watershed Best Management Practices Spatial Optimal Layout under Uncertainty," Sustainability, MDPI, vol. 14(20), pages 1-18, October.

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