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A Benders Decomposition Method for Solving Stochastic Complementarity Problems with an Application in Energy

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  • S. Gabriel
  • J. Fuller

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  • S. Gabriel & J. Fuller, 2010. "A Benders Decomposition Method for Solving Stochastic Complementarity Problems with an Application in Energy," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 301-329, April.
    • Handle: RePEc:kap:compec:v:35:y:2010:i:4:p:301-329
    DOI: 10.1007/s10614-010-9200-8
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    1. Genc, Talat S. & Reynolds, Stanley S. & Sen, Suvrajeet, 2007. "Dynamic oligopolistic games under uncertainty: A stochastic programming approach," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 55-80, January.
    2. Gabriel, Steven A. & Zhuang, Jifang & Kiet, Supat, 2005. "A large-scale linear complementarity model of the North American natural gas market," Energy Economics, Elsevier, vol. 27(4), pages 639-665, July.
    3. Garci'a-Bertrand, Raquel & Conejo, Antonio J. & Gabriel, Steven, 2006. "Electricity market near-equilibrium under locational marginal pricing and minimum profit conditions," European Journal of Operational Research, Elsevier, vol. 174(1), pages 457-479, October.
    4. Egging, Ruud & Gabriel, Steven A. & Holz, Franziska & Zhuang, Jifang, 2008. "A complementarity model for the European natural gas market," Energy Policy, Elsevier, vol. 36(7), pages 2385-2414, July.
    5. Egging, Rudolf G. & Gabriel, Steven A., 2006. "Examining market power in the European natural gas market," Energy Policy, Elsevier, vol. 34(17), pages 2762-2778, November.
    6. Jian Yao & Ilan Adler & Shmuel S. Oren, 2008. "Modeling and Computing Two-Settlement Oligopolistic Equilibrium in a Congested Electricity Network," Operations Research, INFORMS, vol. 56(1), pages 34-47, February.
    7. Byong-Hun Ahn & William W. Hogan, 1982. "On Convergence of the PIES Algorithm for Computing Equilibria," Operations Research, INFORMS, vol. 30(2), pages 281-300, April.
    8. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    9. Gabriel, Steven A. & Zhuang, Jifang & Egging, Ruud, 2009. "Solving stochastic complementarity problems in energy market modeling using scenario reduction," European Journal of Operational Research, Elsevier, vol. 197(3), pages 1028-1040, September.
    10. Zhuang, Jifang & Gabriel, Steven A., 2008. "A complementarity model for solving stochastic natural gas market equilibria," Energy Economics, Elsevier, vol. 30(1), pages 113-147, January.
    11. Alain Haurie & Francesco Moresino, 2002. "S-Adapted Oligopoly Equilibria and Approximations in Stochastic Variational Inequalities," Annals of Operations Research, Springer, vol. 114(1), pages 183-201, August.
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    Cited by:

    1. Hu, Ming-Che & Lu, Su-Ying & Chen, Yen-Haw, 2016. "Stochastic–multiobjective market equilibrium analysis of a demand response program in energy market under uncertainty," Applied Energy, Elsevier, vol. 182(C), pages 500-506.
    2. Hu, Ming-Che & Chen, Yu-Hui & Huang, Li-Chun, 2014. "A sustainable vegetable supply chain using plant factories in Taiwanese markets: A Nash–Cournot model," International Journal of Production Economics, Elsevier, vol. 152(C), pages 49-56.
    3. Egging, Ruud & Pichler, Alois & Kalvø, Øyvind Iversen & Walle–Hansen, Thomas Meyer, 2017. "Risk aversion in imperfect natural gas markets," European Journal of Operational Research, Elsevier, vol. 259(1), pages 367-383.
    4. Egging, Ruud, 2013. "Benders Decomposition for multi-stage stochastic mixed complementarity problems – Applied to a global natural gas market model," European Journal of Operational Research, Elsevier, vol. 226(2), pages 341-353.
    5. Egging, Ruud & Holz, Franziska, 2016. "Risks in global natural gas markets: Investment, hedging and trade," Energy Policy, Elsevier, vol. 94(C), pages 468-479.
    6. Rolf Golombek & Kjell Arne Brekke & Michal Kaut & Sverre A.C. Kittelsen & Stein W. Wallace, 2016. "Stochastic equilibrium modeling: The Impact of Uncertainty on the European Energy Market," EcoMod2016 9201, EcoMod.
    7. Ruud Egging & Franziska Holz, 2015. "Local Consequences of Global Uncertainty: Capacity Development and LNG Trade under Shale Gas and Demand Uncertainty and Disruption Risk," Discussion Papers of DIW Berlin 1498, DIW Berlin, German Institute for Economic Research.
    8. Ibrahim Abada, 2012. "A stochastic generalized Nash-Cournot model for the northwestern European natural gas markets with a fuel substitution demand function: The S-GaMMES model," Working Papers 1202, Chaire Economie du climat.
    9. Ibrahim Abada & Pierre-André Jouvet, 2013. "A stochastic generalized Nash-Cournot model for the northwestern European natural gas markets: The S-GaMMES model," Working Papers 1308, Chaire Economie du climat.
    10. Brekke, Kjell Arne & Golombek, Rolf & Kaut, Michal & Kittelsen, Sverre A.C. & Wallace, Stein W., 2017. "Stochastic energy market equilibrium modeling with multiple agents," Energy, Elsevier, vol. 134(C), pages 984-990.

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