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Comments on: Algorithms for linear programming with linear complementarity constraints

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References

  • Bard JF, Moore J (1990) A branch and bound algorithm for the bilevel programming problem. SIAM J Sci Stat Comput 11:281–292

    Article  Google Scholar 

  • Dempe S (1987) A simple algorithm for the linear bilevel programming problem. Optimization 18:373–385

    Article  Google Scholar 

  • Dempe S, Dutta J (to appear) Is bilevel programming a special case of a mathematical program with complementarity constraints? Math Program

  • Deng X (1998) Complexity issues in bilevel linear programming. In: Migdalas A, Pardalos PM, Värbrand P (eds) Multilevel optimization: algorithms and applications. Kluwer, Dordrecht, pp 149–164

    Chapter  Google Scholar 

  • Hansen P, Jaumard B, Savard G (1992) New branch-and-bound rules for linear bilevel programming. SIAM J Sci Stat Comput 13:1194–1217

    Article  Google Scholar 

  • Horst R, Tuy H (1990) Global optimization: deterministic approaches. Springer, Berlin

    Google Scholar 

  • Meyer CA, Floudas CA (2005) Convex underestimation of twice continuously differentiable functions by piecewise quadratic perturbation: spline αBB underestimators. J Glob Optim 32:221–258

    Article  Google Scholar 

  • Scheel H, Scholtes S (2000) Mathematical programs with equilibrium constraints: stationarity, optimality, and sensitivity. Math Oper Res 25:1–22

    Article  Google Scholar 

  • Tuy H (1995) Dc optimization: theory, methods and algorithms. In: Horst R, Pardalos PM (eds) Handbook of global optimization. Kluwer Academic, Dordrecht, pp 149–216

    Google Scholar 

  • Vicente L, Savard G, Júdice J (1994) Descent approaches for quadratic bilevel programming. J Optim Theory Appl 81:379–399

    Article  Google Scholar 

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Correspondence to S. Dempe.

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This comment refers to the invited paper available at doi:10.1007/s11750-011-0228-2.

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Dempe, S. Comments on: Algorithms for linear programming with linear complementarity constraints. TOP 20, 28–29 (2012). https://doi.org/10.1007/s11750-011-0231-7

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