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Some Generalizations of an Inventory Planning Horizon Theorem

Author

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  • Edward Zabel

    (The University of Rochester)

Abstract

This study extends the results of a paper on inventory models by H. M. Wagner and T. M. Whitin. Particular attention is given to the usefulness of planning horizon theorems in simplifying computations.

Suggested Citation

  • Edward Zabel, 1964. "Some Generalizations of an Inventory Planning Horizon Theorem," Management Science, INFORMS, vol. 10(3), pages 465-471, April.
    • Handle: RePEc:inm:ormnsc:v:10:y:1964:i:3:p:465-471
    DOI: 10.1287/mnsc.10.3.465
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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. S. Selcuk Erenguc, 1988. "Multiproduct dynamic lot‐sizing model with coordinated replenishments," Naval Research Logistics (NRL), John Wiley & Sons, vol. 35(1), pages 1-22, February.
    4. 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.
    5. 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.
    6. Brahimi, Nadjib & Absi, Nabil & Dauzère-Pérès, Stéphane & Nordli, Atle, 2017. "Single-item dynamic lot-sizing problems: An updated survey," European Journal of Operational Research, Elsevier, vol. 263(3), pages 838-863.
    7. 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.
    8. 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.
    9. Alain Bensoussan & Jean‐Marie Proth & Maurice Queyranne, 1991. "A planning horizon algorithm for deterministic inventory management with piecewise linear concave costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(5), pages 729-742, October.
    10. Awi Federgruen & Michal Tzur, 1996. "Detection of minimal forecast horizons in dynamic programs with multiple indicators of the future," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(2), pages 169-189, March.
    11. Vernon Ning Hsu, 2000. "Dynamic Economic Lot Size Model with Perishable Inventory," Management Science, INFORMS, vol. 46(8), pages 1159-1169, August.
    12. Azaron, Amir & Tang, Ou & Tavakkoli-Moghaddam, Reza, 2009. "Dynamic lot sizing problem with continuous-time Markovian production cost," International Journal of Production Economics, Elsevier, vol. 120(2), pages 607-612, August.
    13. 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.
    14. 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.
    15. Richter, Knut & Sombrutzki, Mirko, 2000. "Remanufacturing planning for the reverse Wagner/Whitin models," European Journal of Operational Research, Elsevier, vol. 121(2), pages 304-315, March.
    16. Bhattacharjee, Sudip & Ramesh, R., 2000. "A multi-period profit maximizing model for retail supply chain management: An integration of demand and supply-side mechanisms," European Journal of Operational Research, Elsevier, vol. 122(3), pages 584-601, May.
    17. Brahimi, Nadjib & Dauzere-Peres, Stephane & Najid, Najib M. & Nordli, Atle, 2006. "Single item lot sizing problems," European Journal of Operational Research, Elsevier, vol. 168(1), pages 1-16, January.

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