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A Fast Algorithm for a Class of Generalized Fractional Programs

Author

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  • Martin Gugat

    (University of Trier, Department of Mathematics, 54286 Trier, Germany)

Abstract

In many decision problems, criteria occur that can be expressed as ratios. The corresponding optimization problems are nonconvex programs of fractional type. In this paper, an algorithm for the numerical solution of these problems is introduced that converges always at superlinear speed. Numerical examples are presented.

Suggested Citation

  • Martin Gugat, 1996. "A Fast Algorithm for a Class of Generalized Fractional Programs," Management Science, INFORMS, vol. 42(10), pages 1493-1499, October.
    • Handle: RePEc:inm:ormnsc:v:42:y:1996:i:10:p:1493-1499
    DOI: 10.1287/mnsc.42.10.1493
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    Cited by:

    1. Troutt, Marvin D. & Tadisina, Suresh K. & Sohn, Changsoo & Brandyberry, Alan A., 2005. "Linear programming system identification," European Journal of Operational Research, Elsevier, vol. 161(3), pages 663-672, March.
    2. Frenk, J.B.G. & Schaible, S., 2004. "Fractional Programming," Econometric Institute Research Papers ERS-2004-074-LIS, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    3. Chang, Ching-Ter, 2002. "On the posynomial fractional programming problems," European Journal of Operational Research, Elsevier, vol. 143(1), pages 42-52, November.
    4. Chang, Ching-Ter, 2006. "Formulating the mixed integer fractional posynomial programming," European Journal of Operational Research, Elsevier, vol. 173(2), pages 370-386, September.
    5. Frenk, J.B.G. & Schaible, S., 2004. "Fractional Programming," ERIM Report Series Research in Management ERS-2004-074-LIS, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.

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