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Solving convex quadratic bilevel programming problems using an enumeration sequential quadratic programming algorithm

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  • Jean Etoa

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  • Jean Etoa, 2010. "Solving convex quadratic bilevel programming problems using an enumeration sequential quadratic programming algorithm," Journal of Global Optimization, Springer, vol. 47(4), pages 615-637, August.
    • Handle: RePEc:spr:jglopt:v:47:y:2010:i:4:p:615-637
    DOI: 10.1007/s10898-009-9482-3
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    References listed on IDEAS

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    1. Martine Labbé & Patrice Marcotte & Gilles Savard, 1998. "A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing," Management Science, INFORMS, vol. 44(12-Part-1), pages 1608-1622, December.
    2. Abou-Kandil, H. & Bertrand, P., 1987. "Government-private sector relations as a stackelberg game: A degenerate case," Journal of Economic Dynamics and Control, Elsevier, vol. 11(4), pages 513-517, December.
    3. Bard, Jonathan F. & Plummer, John & Claude Sourie, Jean, 2000. "A bilevel programming approach to determining tax credits for biofuel production," European Journal of Operational Research, Elsevier, vol. 120(1), pages 30-46, January.
    4. Wayne F. Bialas & Mark H. Karwan, 1984. "Two-Level Linear Programming," Management Science, INFORMS, vol. 30(8), pages 1004-1020, August.
    5. C. Audet & P. Hansen & B. Jaumard & G. Savard, 1997. "Links Between Linear Bilevel and Mixed 0–1 Programming Problems," Journal of Optimization Theory and Applications, Springer, vol. 93(2), pages 273-300, May.
    6. Patrice Marcotte & Gilles Savard, 2005. "Bilevel Programming: A Combinatorial Perspective," Springer Books, in: David Avis & Alain Hertz & Odile Marcotte (ed.), Graph Theory and Combinatorial Optimization, chapter 0, pages 191-217, Springer.
    7. John D. C. Little & Katta G. Murty & Dura W. Sweeney & Caroline Karel, 1963. "An Algorithm for the Traveling Salesman Problem," Operations Research, INFORMS, vol. 11(6), pages 972-989, December.
    8. Omar Ben-Ayed & Charles E. Blair, 1990. "Computational Difficulties of Bilevel Linear Programming," Operations Research, INFORMS, vol. 38(3), pages 556-560, June.
    9. H. I. Calvete & C. Galé, 1998. "On the Quasiconcave Bilevel Programming Problem," Journal of Optimization Theory and Applications, Springer, vol. 98(3), pages 613-622, September.
    10. Luce Brotcorne & Martine Labbé & Patrice Marcotte & Gilles Savard, 2000. "A Bilevel Model and Solution Algorithm for a Freight Tariff-Setting Problem," Transportation Science, INFORMS, vol. 34(3), pages 289-302, August.
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    Cited by:

    1. Hecheng Li, 2015. "A genetic algorithm using a finite search space for solving nonlinear/linear fractional bilevel programming problems," Annals of Operations Research, Springer, vol. 235(1), pages 543-558, December.

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