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Raw material inventory solution in iron and steel industry using Lagrangian relaxation

Author

Listed:
  • L Tang

    (Northeastern University)

  • G Liu

    (Northeastern University)

  • J Liu

    (Loughborough University)

Abstract

Because raw material inventories can compensate for the unexpected demand fluctuations as well as variability in the replenishment process, large inventories are maintained to ensure the continuity of production. But storing them increases the inventory cost. Therefore, how to best balance raw material inventory and production demands under capacity constraints has become the serious subject faced by most large steel companies. This paper studies the raw material inventory problem abstracted from the production of Shanghai Baoshan Iron and Steel Complex (Baosteel) in a theoretical light, which provides the scientific foundation for practical applications. Safety stock and safety lead time are first introduced to absorb the random fluctuations. Then, a constrained optimization model is formulated to minimize the total cost attributed to raw material inventories. By using a synergistic combination of Lagrangian relaxation, ordinal introduction of constraints algorithm and heuristic algorithms, high-quality plans are obtained in a timely manner.

Suggested Citation

  • L Tang & G Liu & J Liu, 2008. "Raw material inventory solution in iron and steel industry using Lagrangian relaxation," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(1), pages 44-53, January.
  • Handle: RePEc:pal:jorsoc:v:59:y:2008:i:1:d:10.1057_palgrave.jors.2602335
    DOI: 10.1057/palgrave.jors.2602335
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    References listed on IDEAS

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    1. Otavio Aleotti Maia, Luis & Yahya Qassim, Raad, 1999. "Minimum cost safety stocks for frequent delivery manufacturing," International Journal of Production Economics, Elsevier, vol. 62(3), pages 233-236, September.
    2. Hoshino, Kyoji, 1996. "Criterion for choosing ordering policies between fixed-size and fixed-interval, pull-type and push-type," International Journal of Production Economics, Elsevier, vol. 44(1-2), pages 91-95, June.
    3. Matheus, Peter & Gelders, Ludo, 2000. "The (R, Q) inventory policy subject to a compound Poisson demand pattern," International Journal of Production Economics, Elsevier, vol. 68(3), pages 307-317, December.
    4. Chiang, Chi & Gutierrez, Genaro J., 1996. "A periodic review inventory system with two supply modes," European Journal of Operational Research, Elsevier, vol. 94(3), pages 527-547, November.
    5. Alan S. Manne, 1958. "Programming of Economic Lot Sizes," Management Science, INFORMS, vol. 4(2), pages 115-135, January.
    6. Relph, Geoff & Barrar, Peter, 2003. "Overage inventory--how does it occur and why is it important?," International Journal of Production Economics, Elsevier, vol. 81(1), pages 163-171, January.
    7. Edward H. Bowman, 1956. "Production Scheduling by the Transportation Method of Linear Programming," Operations Research, INFORMS, vol. 4(1), pages 100-103, February.
    8. Ishii, Kazuyoshi & Imori, Shigeki, 1996. "A production ordering system for two-item, two-stage, capacity-constraint production and inventory model," International Journal of Production Economics, Elsevier, vol. 44(1-2), pages 119-128, June.
    9. Harvey M. Wagner & Thomson M. Whitin, 1958. "Dynamic Version of the Economic Lot Size Model," Management Science, INFORMS, vol. 5(1), pages 89-96, October.
    10. Moustapha Diaby & Harish C. Bahl & Mark H. Karwan & Stanley Zionts, 1992. "A Lagrangean Relaxation Approach for Very-Large-Scale Capacitated Lot-Sizing," Management Science, INFORMS, vol. 38(9), pages 1329-1340, September.
    11. Ganeshan, Ram, 1999. "Managing supply chain inventories: A multiple retailer, one warehouse, multiple supplier model," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 341-354, March.
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    Cited by:

    1. Kosuke Kawakami & Hirokazu Kobayashi & Kazuhide Nakata, 2021. "Seasonal Inventory Management Model for Raw Materials in Steel Industry," Interfaces, INFORMS, vol. 51(4), pages 312-324, July.
    2. Barros, Júlio & Cortez, Paulo & Carvalho, M. Sameiro, 2021. "A systematic literature review about dimensioning safety stock under uncertainties and risks in the procurement process," Operations Research Perspectives, Elsevier, vol. 8(C).
    3. Toni Greif & Nikolai Stein & Christoph M. Flath, 2023. "Information Value Analysis for Real-Time Silo Fill-Level Monitoring," Interfaces, INFORMS, vol. 53(4), pages 283-294, July.
    4. R J Ormerod, 2010. "OR as rational choice: a decision and game theory perspective," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(12), pages 1761-1776, December.

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