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Solving stochastic complementarity problems in energy market modeling using scenario reduction

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  • Gabriel, Steven A.
  • Zhuang, Jifang
  • Egging, Ruud

Abstract

In this paper, we analyze market equilibrium models with random aspects that lead to stochastic complementarity problems. While the models presented depict energy markets, the results are believed to be applicable to more general stochastic complementarity problems. The contribution is the development of new heuristic, scenario reduction approaches that iteratively work towards solving the full, extensive form, stochastic market model. The methods are tested on three representative models and supporting numerical results are provided as well as derived mathematical bounds.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ejores:v:197:y:2009:i:3:p:1028-1040
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    References listed on IDEAS

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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. Holz, Franziska & von Hirschhausen, Christian & Kemfert, Claudia, 2008. "A strategic model of European gas supply (GASMOD)," Energy Economics, Elsevier, vol. 30(3), pages 766-788, May.
    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. Stephen W. Salant, 1982. "Imperfect Competition in the International Energy Market: A Computerized Nash-Cournot Model," Operations Research, INFORMS, vol. 30(2), pages 252-280, April.
    6. 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.
    7. 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.
    8. 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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    Citations

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    Cited by:

    1. 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.
    2. Wong, Man Hong, 2013. "Investment models based on clustered scenario trees," European Journal of Operational Research, Elsevier, vol. 227(2), pages 314-324.
    3. Joëts, Marc, 2015. "Heterogeneous beliefs, regret, and uncertainty: The role of speculation in energy price dynamics," European Journal of Operational Research, Elsevier, vol. 247(1), pages 204-215.
    4. Chen, Liang & Kettunen, Janne, 2017. "Is certainty in carbon policy better than uncertainty?," European Journal of Operational Research, Elsevier, vol. 258(1), pages 230-243.
    5. 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.
    6. 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.
    7. Huppmann, Daniel, 2013. "Endogenous production capacity investment in natural gas market equilibrium models," European Journal of Operational Research, Elsevier, vol. 231(2), pages 503-506.
    8. repec:eee:ejores:v:268:y:2018:i:1:p:25-36 is not listed on IDEAS
    9. Pineau, Pierre-Olivier & Rasata, Hasina & Zaccour, Georges, 2011. "Impact of some parameters on investments in oligopolistic electricity markets," European Journal of Operational Research, Elsevier, vol. 213(1), pages 180-195, August.
    10. Baltensperger, Tobias & Füchslin, Rudolf M. & Krütli, Pius & Lygeros, John, 2016. "Multiplicity of equilibria in conjectural variations models of natural gas markets," European Journal of Operational Research, Elsevier, vol. 252(2), pages 646-656.
    11. repec:eee:ejores:v:265:y:2018:i:2:p:437-447 is not listed on IDEAS
    12. Egging, Ruud & Holz, Franziska & Gabriel, Steven A., 2010. "The World Gas Model," Energy, Elsevier, vol. 35(10), pages 4016-4029.
    13. Ibrahim Abada, 2012. "Study of the evolution of the northwestern European natural gas markets using S-GaMMES," Working Papers 1203, Chaire Economie du climat.
    14. Oliveira, F. & Nunes, P.M. & Blajberg, R. & Hamacher, S., 2016. "A framework for crude oil scheduling in an integrated terminal-refinery system under supply uncertainty," European Journal of Operational Research, Elsevier, vol. 252(2), pages 635-645.
    15. Hwang, Won-Sik & Lee, Jeong-Dong, 2015. "A CGE analysis for quantitative evaluation of electricity market changes," Energy Policy, Elsevier, vol. 83(C), pages 69-81.
    16. repec:eee:ejores:v:267:y:2018:i:2:p:643-658 is not listed on IDEAS
    17. Bertsch, Valentin & Devine, Mel & Sweeney, Conor & Parnell, Andrew C., 2018. "Analysing long-term interactions between demand response and different electricity markets using a stochastic market equilibrium model," Papers WP585, Economic and Social Research Institute (ESRI).
    18. Egging, Ruud & Holz, Franziska, 2016. "Risks in global natural gas markets: Investment, hedging and trade," Energy Policy, Elsevier, vol. 94(C), pages 468-479.
    19. repec:eee:ejores:v:261:y:2017:i:2:p:755-771 is not listed on IDEAS
    20. 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.
    21. Chyong, Chi Kong & Hobbs, Benjamin F., 2014. "Strategic Eurasian natural gas market model for energy security and policy analysis: Formulation and application to South Stream," Energy Economics, Elsevier, vol. 44(C), pages 198-211.
    22. 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.

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