IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v21y2003i3p231-243.html
   My bibliography  Save this article

A New Demand-Supply Decomposition Method for a Class of Economic Equilibrium Models

Author

Listed:
  • W. Chung
  • J. Fuller
  • Y. Wu

Abstract

Development and management of a large scale equilibrium model can be much moreefficient if it is broken into its natural, almost independent parts, whichare brought together only when a global solution is desired. We present a newdecomposition algorithm, for non-optimization models of equilibrium, whichintegrate a price-dependent demand component with a linear programming supplycomponent. This method allows for further decomposition of the supply side,e.g., by region or commodity. Existing demand-supply decomposition methods foreconomic equilibrium models, based on the cobweb algorithm, may fail toconverge. Our new demand-supply decomposition method based on theDantzig–Wolfe decomposition principle, converges in a finite number ofiterations. We demonstrate the algorithm with a model of Canadian energysupplies and demands. Copyright Kluwer Academic Publishers 2003

Suggested Citation

  • W. Chung & J. Fuller & Y. Wu, 2003. "A New Demand-Supply Decomposition Method for a Class of Economic Equilibrium Models," Computational Economics, Springer;Society for Computational Economics, vol. 21(3), pages 231-243, June.
  • Handle: RePEc:kap:compec:v:21:y:2003:i:3:p:231-243
    DOI: 10.1023/A:1023995710308
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1023995710308
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1023/A:1023995710308?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mansur, Ahsan & Whalley, John, 1982. "A Decomposition Algorithm for General Equilibrium Computation with Application to International Trade Models," Econometrica, Econometric Society, vol. 50(6), pages 1547-1557, November.
    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. Michael H. Wagner, 1981. "Supply-Demand Decomposition of the National Coal Model," Operations Research, INFORMS, vol. 29(6), pages 1137-1153, December.
    4. 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.
    5. 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.
    6. 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.
    7. Bueler, Benno, 1997. "Solving an equilibrium model for trade of CO2 emission permits," European Journal of Operational Research, Elsevier, vol. 102(2), pages 393-403, October.
    8. 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.
    9. 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.
    10. 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.
    11. Lars Mathiesen, 1985. "Computational Experience in Solving Equilibrium Models by a Sequence of Linear Complementarity Problems," Operations Research, INFORMS, vol. 33(6), pages 1225-1250, December.
    12. Murphy, Frederic H., 1987. "Equation partitioning techniques for solving partial equilibrium models," European Journal of Operational Research, Elsevier, vol. 32(3), pages 380-392, December.
    13. Frederic H. Murphy & Susan H. Shaw, 1995. "The Evolution of Energy Modeling at the Federal Energy Administration and the Energy Information Administration," Interfaces, INFORMS, vol. 25(5), pages 173-193, October.
    14. Frederic H. Murphy & John J. Conti & Susan H. Shaw & Reginald Sanders, 1988. "Modeling and Forecasting Energy Markets with the Intermediate Future Forecasting System," Operations Research, INFORMS, vol. 36(3), pages 406-420, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Wu, Y. June & Chung, William & Fuller, J. David, 2000. "Decomposing multi-regional dynamic energy process models," Applied Energy, Elsevier, vol. 66(3), pages 225-235, July.
    6. 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.
    7. 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.
    8. 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.
    9. Wu, Y. June & Rosen, Marc A., 1999. "Assessing and optimizing the economic and environmental impacts of cogeneration/district energy systems using an energy equilibrium model," Applied Energy, Elsevier, vol. 62(3), pages 141-154, March.
    10. Gabriel, Steven A. & Vikas, Shree & Ribar, David M., 2000. "Measuring the influence of Canadian carbon stabilization programs on natural gas exports to the United States via a 'bottom-up' intertemporal spatial price equilibrium model," Energy Economics, Elsevier, vol. 22(5), pages 497-525, October.
    11. Alejandro Jofré & R. Terry Rockafellar & Roger J-B. Wets, 2007. "Variational Inequalities and Economic Equilibrium," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 32-50, February.
    12. 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.
    13. Steven A. Gabriel & Supat Kiet & Jifang Zhuang, 2005. "A Mixed Complementarity-Based Equilibrium Model of Natural Gas Markets," Operations Research, INFORMS, vol. 53(5), pages 799-818, October.
    14. William W. Hogan, 2002. "Energy Modeling for Policy Studies," Operations Research, INFORMS, vol. 50(1), pages 89-95, February.
    15. GABRIEL, Steven & SMEERS, Yves, 2005. "Complementarity problems in restructured natural gas markets," LIDAM Discussion Papers CORE 2005037, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    16. Chung, William, 2002. "WWW-WATEMS-GDL: an internet modelling system for energy policy models," Energy, Elsevier, vol. 27(6), pages 569-577.
    17. Yang Zhan & Chuangyin Dang, 2018. "A smooth path-following algorithm for market equilibrium under a class of piecewise-smooth concave utilities," Computational Optimization and Applications, Springer, vol. 71(2), pages 381-402, November.
    18. DURAND-LASSERVE, Olivier & Pierru , Axel & SMEERS, Yves, 2012. "Sensitivity of policy simulation to benchmark scenarios in CGE models: illustration with carbon leakage," LIDAM Discussion Papers CORE 2012063, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    19. 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.
    20. Melinda Hobbs & Michael Mellish & Frederic H. Murphy & Richard Newcombe & Reginald Sanders & Peter Whitman, 2001. "Rebuilding the Coal Model in the Energy Information Administration's National Energy Modeling System," Interfaces, INFORMS, vol. 31(5), pages 24-42, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:kap:compec:v:21:y:2003:i:3:p:231-243. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.