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A network reformulation of an electric utility expansion planning model

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  • Frederic H. Murphy
  • Zhong Xian Wang

Abstract

We reformulate a multiperiod capacity expansion model of electric utilities as a network model. We show how to reconstruct the dual solution of the original mathematical program from the network model solution. To formulate the network model, we use information about the properties of the optimal solution of the mathematical program to reduce the number of constraints. The remaining constraints are then readily converted into network constraints. © 1993 John Wiley & Sons. Inc.

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  • Frederic H. Murphy & Zhong Xian Wang, 1993. "A network reformulation of an electric utility expansion planning model," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 451-457, June.
    • Handle: RePEc:wly:navres:v:40:y:1993:i:4:p:451-457
    DOI: 10.1002/1520-6750(199306)40:43.0.CO;2-J
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    References listed on IDEAS

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    1. P. Massé & R. Gibrat, 1957. "Application of Linear Programming to Investments in the Electric Power Industry," Management Science, INFORMS, vol. 3(2), pages 149-166, January.
    2. Frederic H. Murphy & Howard J. Weiss, 1990. "An approach to modeling electric utility capacity expansion planning," Naval Research Logistics (NRL), John Wiley & Sons, vol. 37(6), pages 827-845, December.
    3. Campbell, KW & Murphy, FH & Soyster, AL, 1982. "Estimating operational costs in an electric utility," Omega, Elsevier, vol. 10(4), pages 373-382.
    4. Richard E. Rosenthal, 1981. "A Nonlinear Network Flow Algorithm for Maximization of Benefits in a Hydroelectric Power System," Operations Research, INFORMS, vol. 29(4), pages 763-786, August.
    5. F. Noonan & R. J. Giglio, 1977. "Planning Electric Power Generation: A Nonlinear Mixed Integer Model Employing Benders Decomposition," Management Science, INFORMS, vol. 23(9), pages 946-956, May.
    6. 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.
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    1. A. Marín & J. Salmerón, 2001. "A risk function for the stochastic modeling of electric capacity expansion," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(8), pages 662-683, December.

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