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Bilevel Fractional Programming

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Encyclopedia of Optimization

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Article Outline

Keywords

Introduction

Formulation

Theoretical Results

Algorithms

References

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References

  1. Calvete HI, Galé C (1998) On the quasiconcave bilevel programming problem. J Optim Appl 98(3):613–622

    Article  MATH  Google Scholar 

  2. Calvete HI, Galé C (1999) The bilevel linear/linear fractional programming problem. Eur J Oper Res 114(1):188–197

    Article  MATH  Google Scholar 

  3. Calvete HI, Galé C (2004) Solving linear fractional bilevel programs. Oper Res Lett 32(2):143–151

    Article  MathSciNet  MATH  Google Scholar 

  4. Calvete HI, Galé C, Mateo PM (2007) A genetic algorithm for solving linear fractional bilevel problems. To appear in Annals Oper Res

    Google Scholar 

  5. Calvete HI, Galé C, Mateo PM (2008) A new approach for solving linear bilevel problems using genetic algorithms. Eur J Oper Res 188(1):14–28

    Article  MATH  Google Scholar 

  6. Dempe S (2003) Annotated bibliography on bilevel programming and mathematical programs with equilibrium constraints. Optimization 52:333–359

    Article  MathSciNet  MATH  Google Scholar 

  7. Liu YH, Hart SM (1994) Characterizing an optimal solution to the linear bilevel programming problem. Eur J Oper Res 73(1):164–166

    Article  MATH  Google Scholar 

  8. Savard G (1989) Contribution à la programmation mathématique à deux niveaux. PhD thesis, Ecole Polytechnique de Montréal, Université de Montréal, Montréal, Canada

    Google Scholar 

  9. Schaible S (1995) Fractional programming. In: Horst R, Pardalos PM (eds) Handbook of global optimization. Kluwer, Dordrecht, pp 495–608

    Google Scholar 

  10. Vicente LN, Calamai PH (1994) Bilevel and multilevel programming: a bibliography review. J Glob Optim 5:291–306

    Article  MathSciNet  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Dpto. de Métodos Estadísticos, Universidad de Zaragoza, Zaragoza, Spain

    Herminia I. Calvete & Carmen Galé

Authors
  1. Herminia I. Calvete
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  2. Carmen Galé
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Editor information

Editors and Affiliations

  1. Department of Chemical Engineering, Princeton University, Princeton, NJ, 08544-5263, USA

    Christodoulos A. Floudas

  2. Center for Applied Optimization, Department of Industrial and Systems Engineering, University of Florida, Gainesville, FL, 32611-6595, USA

    Panos M. Pardalos

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© 2008 Springer-Verlag

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Calvete, H.I., Galé, C. (2008). Bilevel Fractional Programming . In: Floudas, C., Pardalos, P. (eds) Encyclopedia of Optimization. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-74759-0_35

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