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A note on the sum of a linear and linear‐fractional function

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  • Siegfried Schaible

Abstract

The sum of a linear and linear‐fractional function is investigated in terms of quasi‐convexity and quasi‐concavity. From this we obtain some insight into the nature of local optima of these functions useful in algorithms.

Suggested Citation

  • Siegfried Schaible, 1977. "A note on the sum of a linear and linear‐fractional function," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 24(4), pages 691-693, December.
    • Handle: RePEc:wly:navlog:v:24:y:1977:i:4:p:691-693
    DOI: 10.1002/nav.3800240416
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    Cited by:

    1. Hiroshi Konno & Hajime Yamashita, 1999. "Minimizing sums and products of linear fractional functions over a polytope," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(5), pages 583-596, August.
    2. Kanematsu, Simon Y. & Carvalho, Ney P. & Martinhon, Carlos A. & Almeida, Mariana R., 2020. "Ranking using η-efficiency and relative size measures based on DEA," Omega, Elsevier, vol. 90(C).
    3. Mehmet Fadılog̃lu & Oya Karaşan & Mustafa Pınar, 2010. "A model and case study for efficient shelf usage and assortment analysis," Annals of Operations Research, Springer, vol. 180(1), pages 105-124, November.

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