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A sequential method for a class of pseudoconcave fractional problems

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  • Laura Carosi
  • Laura Martein

Abstract

The aim of the paper is to maximize a pseudoconcave function which is the sum of a linear and a linear fractional function subject to linear constraints. Theoretical properties of the problem are first established and then a sequential method based on a simplex-like procedure is suggested. Copyright Springer-Verlag 2008

Suggested Citation

  • Laura Carosi & Laura Martein, 2008. "A sequential method for a class of pseudoconcave fractional problems," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(2), pages 153-164, June.
    • Handle: RePEc:spr:cejnor:v:16:y:2008:i:2:p:153-164
    DOI: 10.1007/s10100-007-0050-y
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    References listed on IDEAS

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    1. H. P. Benson, 2003. "Generating Sum-of-Ratios Test Problems in Global Optimization," Journal of Optimization Theory and Applications, Springer, vol. 119(3), pages 615-621, December.
    2. J. C. Chen & H. C. Lai & S. Schaible, 2005. "Complex Fractional Programming and the Charnes-Cooper Transformation," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 203-213, July.
    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.
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    Cited by:

    1. Laura Carosi & Laura Martein, 2013. "Characterizing the pseudoconvexity of a wide class of generalized fractional functions," Discussion Papers 2013/172, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    2. Riccardo Cambini & Laura Carosi & Laura Martein & Ezat Valipour, 2017. "Simplex-like sequential methods for a class of generalized fractional programs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 85(1), pages 77-96, February.
    3. Laura Carosi, 2017. "Pseudoconvexity on a closed convex set: an application to a wide class of generalized fractional functions," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 145-158, November.

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