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A New Decomposition Method for Multiregional Economic Equilibrium Models

Author

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  • William Chung

    (Department of Management Sciences, City University of Hong Kong, Kowloon Tong, Hong Kong, China)

  • J. D. Fuller

    (Department of Management Sciences, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1)

  • Y. June Wu

    (Department of Mechanical and Industrial Engineering, Ryerson University, Toronto, Ontario, Canada M5B 2K3)

Abstract

This paper discusses decomposition of a multiregional economic equilibrium model that is characterized by a cost minimizing, linear programming (LP) model of the supply side and a vector-valued function that gives demand prices as functions of the quantities demanded. Our motivation is to ease model development and maintenance by a solution method that links separately developed regional models only when a consistent multiregion solution is desired. A heuristic strategy is described to extend any existing (LP) decomposition principle to a procedure for decomposing an equilibrium model by region. This strategy is applied to extend Dantzig-Wolfe decomposition to the multiregional economic equilibrium model, and several theoretical results are derived for the resulting algorithm. The central result is a proof of asymptotic convergence, under usefully general conditions. The extended Dantzig-Wolfe procedure is illustrated with an existing, two-region model of Canadian energy supplies and demands.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:oropre:v:54:y:2006:i:4:p:643-655
    DOI: 10.1287/opre.1060.0274
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Frederic H. Murphy, 1993. "Making Large-Scale Models Manageable: Modeling from an Operations Management Perspective," Operations Research, INFORMS, vol. 41(2), pages 241-252, April.
    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. Wu, Y.June & Chung, William, 1997. "Assessing the control of energy-related CO2 emissions with a dynamic energy process model," Energy, Elsevier, vol. 22(7), pages 693-704.
    8. Frederic H. Murphy, 1973. "Column Dropping Procedures for the Generalized Programming Algorithm," Management Science, INFORMS, vol. 19(11), pages 1310-1321, July.
    9. Steven A. Gabriel & Andy S. Kydes & Peter Whitman, 2001. "The National Energy Modeling System: A Large-Scale Energy-Economic Equilibrium Model," Operations Research, INFORMS, vol. 49(1), pages 14-25, February.
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    Cited by:

    1. 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.
    2. William Chung, 2024. "Truncated Dantzig–Wolfe Decomposition for a Class of Constrained Variational Inequality Problems," Computational Economics, Springer;Society for Computational Economics, vol. 64(1), pages 81-104, July.
    3. William Chung & J. David Fuller, 2010. "Subproblem Approximation in Dantzig-Wolfe Decomposition of Variational Inequality Models with an Application to a Multicommodity Economic Equilibrium Model," Operations Research, INFORMS, vol. 58(5), pages 1318-1327, October.

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