IDEAS home Printed from https://ideas.repec.org/a/inm/oropre/v35y1987i2p215-220.html
   My bibliography  Save this article

Aggregation in Dynamic Programming

Author

Listed:
  • James C. Bean

    (University of Michigan, Ann Arbor, Michigan)

  • John R. Birge

    (University of Michigan, Ann Arbor, Michigan)

  • Robert L. Smith

    (University of Michigan, Ann Arbor, Michigan)

Abstract

Reducing the size of a dynamic program through state aggregation can significantly reduce both the data and the computation time required to solve a problem. We develop a new algorithm that combines state aggregation and disaggregation steps within a single-pass procedure. The solution obtained is automatically feasible for the original problem. By exploiting general conditions on the aggregate structure, we develop bounds for assessing the error from optimality introduced by the aggregation, and we illustrate with an application in infinite horizon optimization.

Suggested Citation

  • James C. Bean & John R. Birge & Robert L. Smith, 1987. "Aggregation in Dynamic Programming," Operations Research, INFORMS, vol. 35(2), pages 215-220, April.
    • Handle: RePEc:inm:oropre:v:35:y:1987:i:2:p:215-220
    DOI: 10.1287/opre.35.2.215
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/opre.35.2.215
    Download Restriction: no
    File URL: https://libkey.io/10.1287/opre.35.2.215?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
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ryan, Sarah M., 1998. "Forecast frequency in rolling horizon hedging heuristics for capacity expansion," European Journal of Operational Research, Elsevier, vol. 109(3), pages 550-558, September.
    2. James C. Bean & Jack R. Lohmann & Robert L. Smith, 1994. "Equipment replacement under technological change," Naval Research Logistics (NRL), John Wiley & Sons, vol. 41(1), pages 117-128, February.
    3. Benjamin Van Roy, 2006. "Performance Loss Bounds for Approximate Value Iteration with State Aggregation," Mathematics of Operations Research, INFORMS, vol. 31(2), pages 234-244, May.
    4. Michael Z. Spivey & Warren B. Powell, 2004. "The Dynamic Assignment Problem," Transportation Science, INFORMS, vol. 38(4), pages 399-419, November.
    5. Chevalier, Philippe & Lamas, Alejandro & Lu, Liang & Mlinar, Tanja, 2015. "Revenue management for operations with urgent orders," European Journal of Operational Research, Elsevier, vol. 240(2), pages 476-487.
    6. Suresh Chand & Vernon Ning Hsu & Suresh Sethi, 2002. "Forecast, Solution, and Rolling Horizons in Operations Management Problems: A Classified Bibliography," Manufacturing & Service Operations Management, INFORMS, vol. 4(1), pages 25-43, September.
    7. Selvaprabu Nadarajah & Andre A. Cire, 2020. "Network-Based Approximate Linear Programming for Discrete Optimization," Operations Research, INFORMS, vol. 68(6), pages 1767-1786, November.
    8. Murwan Siddig & Yongjia Song, 2022. "Adaptive partition-based SDDP algorithms for multistage stochastic linear programming with fixed recourse," Computational Optimization and Applications, Springer, vol. 81(1), pages 201-250, January.
    9. Ali Fattahi & Sriram Dasu & Reza Ahmadi, 2023. "Peak-Load Energy Management by Direct Load Control Contracts," Management Science, INFORMS, vol. 69(5), pages 2788-2813, May.
    10. Torpong Cheevaprawatdomrong & Irwin E. Schochetman & Robert L. Smith & Alfredo Garcia, 2007. "Solution and Forecast Horizons for Infinite-Horizon Nonhomogeneous Markov Decision Processes," Mathematics of Operations Research, INFORMS, vol. 32(1), pages 51-72, February.

    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:inm:oropre:v:35:y:1987:i:2:p:215-220. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    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.