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Planning Horizons for the Dynamic Lot Size Model with Backlogging

Author

Listed:
  • Joseph D. Blackburn

    (University of Chicago)

  • Howard Kunreuther

    (University of Pennsylvania)

Abstract

Planning horizons are developed for the dynamic economic lot site model with backlogging when the marginal production cost is either constant or variable. The inventory holding and backlogging cost functions are assumed to be concave. An efficient forward algorithm generalizes the Eppen-Gould-Pashigian procedure and enables us to place bounds on the optimal production plan should a horizon not be found.

Suggested Citation

  • Joseph D. Blackburn & Howard Kunreuther, 1974. "Planning Horizons for the Dynamic Lot Size Model with Backlogging," Management Science, INFORMS, vol. 21(3), pages 251-255, November.
    • Handle: RePEc:inm:ormnsc:v:21:y:1974:i:3:p:251-255
    DOI: 10.1287/mnsc.21.3.251
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    Citations

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    Cited by:

    1. 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.
    2. Ioannis Ganas & Sotirios Papachristos, 2005. "The Single-Product Lot-Sizing Problem with Constant Parameters and Backlogging: Exact Results, a New Solution, and All Parameter Stability Regions," Operations Research, INFORMS, vol. 53(1), pages 170-176, February.
    3. Fuying Jing & Zirui Lan, 2017. "Forecast horizon of multi-item dynamic lot size model with perishable inventory," PLOS ONE, Public Library of Science, vol. 12(11), pages 1-15, November.
    4. 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.
    5. Awi Federgruen & Michal Tzur, 1993. "The dynamic lot‐sizing model with backlogging: A simple o(n log n) algorithm and minimal forecast horizon procedure," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(4), pages 459-478, June.
    6. Archis Ghate & Robert L. Smith, 2009. "Optimal Backlogging Over an Infinite Horizon Under Time-Varying Convex Production and Inventory Costs," Manufacturing & Service Operations Management, INFORMS, vol. 11(2), pages 362-368, June.
    7. James C. Bean & Robert L. Smith & Candace A. Yano, 1987. "Forecast horizons for the discounted dynamic lot‐size problem allowing speculative motive," Naval Research Logistics (NRL), John Wiley & Sons, vol. 34(6), pages 761-774, December.
    8. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    9. Kian, Ramez & Gürler, Ülkü & Berk, Emre, 2014. "The dynamic lot-sizing problem with convex economic production costs and setups," International Journal of Production Economics, Elsevier, vol. 155(C), pages 361-379.
    10. Robert L. Smith & Rachel Q. Zhang, 1998. "Infinite Horizon Production Planning in Time-Varying Systems with Convex Production and Inventory Costs," Management Science, INFORMS, vol. 44(9), pages 1313-1320, September.
    11. 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.

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