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Benders decomposition for a class of variational inequalities

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  • Fuller, J. David
  • Chung, William

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  • Fuller, J. David & Chung, William, 2008. "Benders decomposition for a class of variational inequalities," European Journal of Operational Research, Elsevier, vol. 185(1), pages 76-91, February.
    • Handle: RePEc:eee:ejores:v:185:y:2008:i:1:p:76-91
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    References listed on IDEAS

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    1. B. S. He & L. Z. Liao & H. Yang, 1999. "Decomposition Method for a Class of Monotone Variational Inequality Problems," Journal of Optimization Theory and Applications, Springer, vol. 103(3), pages 603-622, December.
    2. Barton, Russell R. & Hearn, Donald W. & Lawphongpanich, Siriphong, 1989. "The equivalence of transfer and generalized benders decomposition methods for traffic assignment," Transportation Research Part B: Methodological, Elsevier, vol. 23(1), pages 61-73, February.
    3. 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.
    4. Lawphongpanich, Siriphong & Hearn, Donald W., 1984. "Simplical decomposition of the asymmetric traffic assignment problem," Transportation Research Part B: Methodological, Elsevier, vol. 18(2), pages 123-133, April.
    5. Chung, W. & Wu, Y. June & Fuller, J. David, 1997. "Dynamic energy and environment equilibrium model for the assessment of CO2 emission control in Canada and the USA," Energy Economics, Elsevier, vol. 19(1), pages 103-124, March.
    6. Frederic H. Murphy & Murthy V. Mudrageda, 1998. "A Decomposition Approach for a Class of Economic Equilibrium Models," Operations Research, INFORMS, vol. 46(3), pages 368-377, June.
    7. J. Fuller & William Chung, 2005. "Dantzig—Wolfe Decomposition of Variational Inequalities," Computational Economics, Springer;Society for Computational Economics, vol. 25(4), pages 303-326, June.
    8. William Chung & J. D. Fuller & Y. June Wu, 2006. "A New Decomposition Method for Multiregional Economic Equilibrium Models," Operations Research, INFORMS, vol. 54(4), pages 643-655, August.
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    Cited by:

    1. I. V. Konnov, 2014. "Right-Hand Side Decomposition for Variational Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 160(1), pages 221-238, January.
    2. Egging-Bratseth, Ruud & Baltensperger, Tobias & Tomasgard, Asgeir, 2020. "Solving oligopolistic equilibrium problems with convex optimization," European Journal of Operational Research, Elsevier, vol. 284(1), pages 44-52.
    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. Stradi-Granados, Benito A. & Haven, Emmanuel, 2010. "The use of interval arithmetic in solving a non-linear rational expectation based multiperiod output-inflation process model: The case of the IN/GB method," European Journal of Operational Research, Elsevier, vol. 203(1), pages 222-229, May.
    6. Juan Pablo Luna & Claudia Sagastizábal & Mikhail Solodov, 2020. "A class of Benders decomposition methods for variational inequalities," Computational Optimization and Applications, Springer, vol. 76(3), pages 935-959, July.
    7. Egging, Ruud & Holz, Franziska, 2016. "Risks in global natural gas markets: Investment, hedging and trade," Energy Policy, Elsevier, vol. 94(C), pages 468-479.
    8. 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.

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