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Programming Problems with Convex Fractional Functions

Author

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  • C. R. Bector

    (Indian Institute of Technology, Kanpur, India)

Abstract

The main result proved in this paper is that the ratio of the square of a nonnegative convex function to a strictly positive concave function is convex over a convex domain. Some particular cases of this result and a few applications to mathematical programming are also considered.

Suggested Citation

  • C. R. Bector, 1968. "Programming Problems with Convex Fractional Functions," Operations Research, INFORMS, vol. 16(2), pages 383-391, April.
    • Handle: RePEc:inm:oropre:v:16:y:1968:i:2:p:383-391
    DOI: 10.1287/opre.16.2.383
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    Cited by:

    1. Simin Huang & Rajan Batta & Rakesh Nagi, 2005. "Distribution network design: Selection and sizing of congested connections," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(8), pages 701-712, December.
    2. Zvi Drezner & Siegfried Schaible & David Simchi‐Levi, 1990. "Queueing‐location problems on the plane," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 929-935, December.

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