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Model Building Techniques for the Correction of End Effects in Multistage Convex Programs

Author

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  • Richard C. Grinold

    (University of California, Berkeley, California)

Abstract

This paper considers model building procedures that can be used to reduce end effects in multistage planning models. In particular, it emphasizes some problems that are peculiar to energy planning applications. The paper presents and compares four methods for mitigating end effects. It concludes that one of these four methods, the dual equilibrium procedure, is best. The major drawback of the dual equilibrium procedure is its lack of simplicity. If it is to be widely used, then it must be widely understood.

Suggested Citation

  • Richard C. Grinold, 1983. "Model Building Techniques for the Correction of End Effects in Multistage Convex Programs," Operations Research, INFORMS, vol. 31(3), pages 407-431, June.
  • Handle: RePEc:inm:oropre:v:31:y:1983:i:3:p:407-431
    DOI: 10.1287/opre.31.3.407
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    Cited by:

    1. Bojovic, Nebojsa J., 2002. "A general system theory approach to rail freight car fleet sizing," European Journal of Operational Research, Elsevier, vol. 136(1), pages 136-172, January.
    2. Marshall Fisher & Kamalini Ramdas & Yu-Sheng Zheng, 2001. "Ending Inventory Valuation in Multiperiod Production Scheduling," Management Science, INFORMS, vol. 47(5), pages 679-692, May.
    3. David R. CariƱo & David H. Myers & William T. Ziemba, 1998. "Concepts, Technical Issues, and Uses of the Russell-Yasuda Kasai Financial Planning Model," Operations Research, INFORMS, vol. 46(4), pages 450-462, August.
    4. Hartmut Stadtler, 2000. "Improved Rolling Schedules for the Dynamic Single-Level Lot-Sizing Problem," Management Science, INFORMS, vol. 46(2), pages 318-326, February.
    5. Birge, John R. & Rosa, Charles H., 1995. "Modeling investment uncertainty in the costs of global CO2 emission policy," European Journal of Operational Research, Elsevier, vol. 83(3), pages 466-488, June.
    6. C.H. Rosa, 1994. "Pathways of Economic Development in an Uncertain Environment: A Finite Scenario Approach to the U.S. Region Under Carbon Emission Restrictions," Working Papers wp94041, International Institute for Applied Systems Analysis.
    7. Changjun Wang & Shutong Chen, 2019. "Planning of Cascade Hydropower Stations with the Consideration of Long-Term Operations under Uncertainties," Complexity, Hindawi, vol. 2019, pages 1-23, November.
    8. P. H. Thangata & P. E. Hildebrand & F. Kwesiga, 2007. "Predicted impact of HIV|AIDS on improved fallow adoption and rural household food security in Malawi," Sustainable Development, John Wiley & Sons, Ltd., vol. 15(4), pages 205-215.
    9. Seeliger, Andreas, 2023. "Modelling Natural Gas Markets: Could We Learn from our Mistakes in the Past? - A Reality Check for MAGELAN," EconStor Preprints 276957, ZBW - Leibniz Information Centre for Economics.

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