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A new approach for solving linear bilevel problems using genetic algorithms

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  • Calvete, Herminia I.
  • Gale, Carmen
  • Mateo, Pedro M.

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  • Calvete, Herminia I. & Gale, Carmen & Mateo, Pedro M., 2008. "A new approach for solving linear bilevel problems using genetic algorithms," European Journal of Operational Research, Elsevier, vol. 188(1), pages 14-28, July.
    • Handle: RePEc:eee:ejores:v:188:y:2008:i:1:p:14-28
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    1. Wayne F. Bialas & Mark H. Karwan, 1984. "Two-Level Linear Programming," Management Science, INFORMS, vol. 30(8), pages 1004-1020, August.
    2. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(4), pages 1007-1017, August.
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    5. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(5), pages 1273-1289, October.
    6. Wen, U. P. & Huang, A. D., 1996. "A simple Tabu Search method to solve the mixed-integer linear bilevel programming problem," European Journal of Operational Research, Elsevier, vol. 88(3), pages 563-571, February.
    7. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(3), pages 819-821, June.
    8. ,, 2002. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 18(2), pages 541-545, April.
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    Cited by:

    1. Zhao, Laijun & Li, Changmin & Huang, Rongbing & Si, Steven & Xue, Jian & Huang, Wei & Hu, Yue, 2013. "Harmonizing model with transfer tax on water pollution across regional boundaries in a China’s lake basin," European Journal of Operational Research, Elsevier, vol. 225(2), pages 377-382.
    2. Calvete, Herminia I. & Galé, Carmen, 2011. "On linear bilevel problems with multiple objectives at the lower level," Omega, Elsevier, vol. 39(1), pages 33-40, January.
    3. Herminia Calvete & Carmen Galé & Pedro Mateo, 2009. "A genetic algorithm for solving linear fractional bilevel problems," Annals of Operations Research, Springer, vol. 166(1), pages 39-56, February.
    4. Martha-Selene Casas-Ramírez & José-Fernando Camacho-Vallejo & Juan A. Díaz & Dolores E. Luna, 2020. "A bi-level maximal covering location problem," Operational Research, Springer, vol. 20(2), pages 827-855, June.
    5. Xueping Zhu & Chi Zhang & Guangtao Fu & Yu Li & Wei Ding, 2017. "Bi-Level Optimization for Determining Operating Strategies for Inter-Basin Water Transfer-Supply Reservoirs," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(14), pages 4415-4432, November.
    6. 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.
    7. R. Paulavičius & C. S. Adjiman, 2020. "New bounding schemes and algorithmic options for the Branch-and-Sandwich algorithm," Journal of Global Optimization, Springer, vol. 77(2), pages 197-225, June.
    8. Xiao, Helu & Ren, Tiantian & Zhou, Zhongbao & Liu, Wenbin, 2021. "Parameter uncertainty in estimation of portfolio efficiency: Evidence from an interval diversification-consistent DEA approach," Omega, Elsevier, vol. 103(C).
    9. Sinha, Ankur & Malo, Pekka & Deb, Kalyanmoy, 2017. "Evolutionary algorithm for bilevel optimization using approximations of the lower level optimal solution mapping," European Journal of Operational Research, Elsevier, vol. 257(2), pages 395-411.
    10. Timonina-Farkas, Anna & Katsifou, Argyro & Seifert, Ralf W., 2020. "Product assortment and space allocation strategies to attract loyal and non-loyal customers," European Journal of Operational Research, Elsevier, vol. 285(3), pages 1058-1076.
    11. Kovacevic, Raimund M. & Pflug, Georg Ch., 2014. "Electricity swing option pricing by stochastic bilevel optimization: A survey and new approaches," European Journal of Operational Research, Elsevier, vol. 237(2), pages 389-403.
    12. Fang, Lei & Li, Hecheng, 2015. "Cost efficiency in data envelopment analysis under the law of one price," European Journal of Operational Research, Elsevier, vol. 240(2), pages 488-492.
    13. Menasri, R. & Nakib, A. & Daachi, B. & Oulhadj, H. & Siarry, P., 2015. "A trajectory planning of redundant manipulators based on bilevel optimization," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 934-947.
    14. Lei Fang & Hecheng Li, 2013. "Lower bound of cost efficiency measure in DEA with incomplete price information," Journal of Productivity Analysis, Springer, vol. 40(2), pages 219-226, October.
    15. Fischetti, Matteo & Monaci, Michele & Sinnl, Markus, 2018. "A dynamic reformulation heuristic for Generalized Interdiction Problems," European Journal of Operational Research, Elsevier, vol. 267(1), pages 40-51.
    16. Ya Gao & Guangquan Zhang & Jie Lu & Hui-Ming Wee, 2011. "Particle swarm optimization for bi-level pricing problems in supply chains," Journal of Global Optimization, Springer, vol. 51(2), pages 245-254, October.
    17. René Y. Glogg & Anna Timonina-Farkas & Ralf W. Seifert, 2022. "Modeling and mitigating supply chain disruptions as a bilevel network flow problem," Computational Management Science, Springer, vol. 19(3), pages 395-423, July.
    18. J. Vakili, 2017. "New Models for Computing the Distance of DMUs to the Weak Efficient Boundary of Convex and Nonconvex PPSs in DEA," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 34(06), pages 1-20, December.

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