IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v25y1979i4p341-351.html
   My bibliography  Save this article

An Analytic Framework for Evaluating Rolling Schedules

Author

Listed:
  • Kenneth R. Baker

    (Duke University)

  • David W. Peterson

    (Duke University)

Abstract

A rolling schedule is formed by solving a multi-period problem and implementing only the first period's decisions; one period later the multi-period model is updated and the process repeated. In this paper, we provide a general framework for analyzing rolling schedules, and we examine analytically a fundamental quadratic-cost model for the effects of such factors as the length of the planning interval, the uncertainty in forecasts, and the periodicity of demand. For the quadratic model our main result is that cost performance improves monotonically as the planning horizon is lengthened. We also find that the use of terminal conditions in the multi-period model can dramatically improve rolling schedule performance.

Suggested Citation

  • Kenneth R. Baker & David W. Peterson, 1979. "An Analytic Framework for Evaluating Rolling Schedules," Management Science, INFORMS, vol. 25(4), pages 341-351, April.
    • Handle: RePEc:inm:ormnsc:v:25:y:1979:i:4:p:341-351
    DOI: 10.1287/mnsc.25.4.341
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.25.4.341
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.25.4.341?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. Salewski, Frank, 1994. "An integrative approach to audit-staff scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 358, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    3. Kimms, A, 1998. "Stability Measures for Rolling Schedules with Applications to Capacity Expansion Planning, Master Production Scheduling, and Lot Sizing," Omega, Elsevier, vol. 26(3), pages 355-366, June.
    4. Haeussler, S. & Stampfer, C. & Missbauer, H., 2020. "Comparison of two optimization based order release models with fixed and variable lead times," International Journal of Production Economics, Elsevier, vol. 227(C).
    5. Bradley Franklin & Keith C. Knapp & Kurt A. Schwabe, 2017. "A Dynamic Regional Model of Irrigated Perennial Crop Production," Water Economics and Policy (WEP), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 1-30, January.
    6. Schütz, Peter & Tomasgard, Asgeir, 2011. "The impact of flexibility on operational supply chain planning," International Journal of Production Economics, Elsevier, vol. 134(2), pages 300-311, December.
    7. Hartmut Stadtler, 2000. "Improved Rolling Schedules for the Dynamic Single-Level Lot-Sizing Problem," Management Science, INFORMS, vol. 46(2), pages 318-326, February.
    8. Wijngaard, J., 2004. "The effect of foreknowledge of demand in case of a restricted capacity: The single-stage, single-product case," European Journal of Operational Research, Elsevier, vol. 159(1), pages 95-109, November.
    9. Salewski, Frank & Nissen, Rüdiger, 1993. "Revidierende hierarchische Planung: Ein Konzept am Beispiel der Personaleinsatzplanung in Wirtschaftsprüfungsgesellschaften," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 335, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    10. Suwa, Haruhiko, 2007. "A new when-to-schedule policy in online scheduling based on cumulative task delays," International Journal of Production Economics, Elsevier, vol. 110(1-2), pages 175-186, October.
    11. Cattani, Kyle D., 2016. "Fenced in? Stochastic and deterministic planning models in a time-fenced, rolling-horizon scheduling systemAuthor-Name: DeYong, Gregory D," European Journal of Operational Research, Elsevier, vol. 251(1), pages 85-95.
    12. Kriett, Phillip Oliver & Salani, Matteo, 2012. "Optimal control of a residential microgrid," Energy, Elsevier, vol. 42(1), pages 321-330.
    13. repec:dgr:rugsom:02a15 is not listed on IDEAS
    14. Wijngaard, J., 2002. "The effect of foreknowledge of demand in case of a restricted capacity: the single-stage, singleproduct case with lost sales," Research Report 02A15, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    15. 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.
    16. Kimms, Alf, 1996. "Stability measures for rolling schedules with applications to capacity expansion planning, master production scheduling, and lot sizing," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 418, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    17. Garay-Sianca, Aniela & Nurre Pinkley, Sarah G., 2021. "Interdependent integrated network design and scheduling problems with movement of machines," European Journal of Operational Research, Elsevier, vol. 289(1), pages 297-327.
    18. Zhaotong Lian & Liming Liu & Stuart X. Zhu, 2010. "Rolling‐horizon replenishment: Policies and performance analysis," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(6), pages 489-502, September.

    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:ormnsc:v:25:y:1979:i:4:p:341-351. 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.