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Discrete bilevel programming: Application to a natural gas cash-out problem

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  • Dempe, Stephan
  • Kalashnikov, Vyacheslav
  • Rios-Mercado, Roger Z.

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  • Dempe, Stephan & Kalashnikov, Vyacheslav & Rios-Mercado, Roger Z., 2005. "Discrete bilevel programming: Application to a natural gas cash-out problem," European Journal of Operational Research, Elsevier, vol. 166(2), pages 469-488, October.
    • Handle: RePEc:eee:ejores:v:166:y:2005:i:2:p:469-488
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    1. James T. Moore & Jonathan F. Bard, 1990. "The Mixed Integer Linear Bilevel Programming Problem," Operations Research, INFORMS, vol. 38(5), pages 911-921, October.
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    Cited by:

    1. Leonardo Lozano & J. Cole Smith, 2017. "A Value-Function-Based Exact Approach for the Bilevel Mixed-Integer Programming Problem," Operations Research, INFORMS, vol. 65(3), pages 768-786, June.
    2. Kalashnikov, V.V. & Matis, T.I. & Pérez-Valdés, G.A., 2010. "Time series analysis applied to construct US natural gas price functions for groups of states," Energy Economics, Elsevier, vol. 32(4), pages 887-900, July.
    3. Kalashnikov, Vyacheslav V. & Pérez-Valdés, Gerardo A. & Tomasgard, Asgeir & Kalashnykova, Nataliya I., 2010. "Natural gas cash-out problem: Bilevel stochastic optimization approach," European Journal of Operational Research, Elsevier, vol. 206(1), pages 18-33, October.
    4. Liu, Shaonan & Kong, Nan & Parikh, Pratik & Wang, Mingzheng, 2023. "Optimal trauma care network redesign with government subsidy: A bilevel integer programming approach," Omega, Elsevier, vol. 119(C).
    5. Vyacheslav Kalashnikov & Gerardo Pérez & Nataliya Kalashnykova, 2010. "A linearization approach to solve the natural gas cash-out bilevel problem," Annals of Operations Research, Springer, vol. 181(1), pages 423-442, December.
    6. Çalcı, Baturay & Leibowicz, Benjamin D. & Bard, Jonathan F. & Jayadev, Gopika G., 2024. "A bilevel approach to multi-period natural gas pricing and investment in gas-consuming infrastructure," Energy, Elsevier, vol. 303(C).
    7. Richard Oberdieck & Nikolaos A. Diangelakis & Styliani Avraamidou & Efstratios N. Pistikopoulos, 2017. "On unbounded and binary parameters in multi-parametric programming: applications to mixed-integer bilevel optimization and duality theory," Journal of Global Optimization, Springer, vol. 69(3), pages 587-606, November.
    8. Diana Fanghänel, 2011. "Optimality conditions for a bilevel matroid problem," Journal of Combinatorial Optimization, Springer, vol. 22(4), pages 594-608, November.
    9. William M. Kroshl & Shahram Sarkani & Thomas A Mazzuchi, 2015. "Efficient Allocation of Resources for Defense of Spatially Distributed Networks Using Agent‐Based Simulation," Risk Analysis, John Wiley & Sons, vol. 35(9), pages 1690-1705, September.
    10. Xu, Jiuping & Song, Xiaoling & Wu, Yimin & Zeng, Ziqiang, 2015. "GIS-modelling based coal-fired power plant site identification and selection," Applied Energy, Elsevier, vol. 159(C), pages 520-539.
    11. Liu, Shaonan & Wang, Mingzheng & Kong, Nan & Hu, Xiangpei, 2021. "An enhanced branch-and-bound algorithm for bilevel integer linear programming," European Journal of Operational Research, Elsevier, vol. 291(2), pages 661-679.
    12. Ritu Arora & Kavita Gupta, 2018. "Branch and bound algorithm for discrete multi- level linear fractional programming problem," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 28(2), pages 5-21.
    13. Dempe, Stephan & Kalashnikov, Vyacheslav V. & Pérez-Valdés, Gerardo A. & Kalashnykova, Nataliya I., 2011. "Natural gas bilevel cash-out problem: Convergence of a penalty function method," European Journal of Operational Research, Elsevier, vol. 215(3), pages 532-538, December.
    14. Styliani Avraamidou & Efstratios N. Pistikopoulos, 2019. "Multi-parametric global optimization approach for tri-level mixed-integer linear optimization problems," Journal of Global Optimization, Springer, vol. 74(3), pages 443-465, July.

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