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Cumulative staircase considerations for dynamic lotsizing when backlogging is allowed

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  • Grubbström, Robert W.

Abstract

The dynamic lotsizing problem concerns the determination of optimal batch quantities, when given required amounts appear at discrete points in time. The standard formulation assumes that no shortages are allowed and that replenishments are made instantaneously.

Suggested Citation

  • Grubbström, Robert W., 2014. "Cumulative staircase considerations for dynamic lotsizing when backlogging is allowed," International Journal of Production Economics, Elsevier, vol. 157(C), pages 201-211.
    • Handle: RePEc:eee:proeco:v:157:y:2014:i:c:p:201-211
    DOI: 10.1016/j.ijpe.2013.05.027
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    References listed on IDEAS

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    1. 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.
    2. Arthur F. Veinott, 1969. "Minimum Concave-Cost Solution of Leontief Substitution Models of Multi-Facility Inventory Systems," Operations Research, INFORMS, vol. 17(2), pages 262-291, April.
    3. Beullens, Patrick & Janssens, Gerrit K., 2011. "Holding costs under push or pull conditions - The impact of the Anchor Point," European Journal of Operational Research, Elsevier, vol. 215(1), pages 115-125, November.
    4. Teunter, Ruud & van der Laan, Erwin, 2002. "On the non-optimality of the average cost approach for inventory models with remanufacturing," International Journal of Production Economics, Elsevier, vol. 79(1), pages 67-73, September.
    5. Song, Yuyue & Chan, Gin Hor, 2005. "Single item lot-sizing problems with backlogging on a single machine at a finite production rate," European Journal of Operational Research, Elsevier, vol. 161(1), pages 191-202, February.
    6. Grubbström, Robert W. & Tang, Ou, 2012. "The space of solution alternatives in the optimal lotsizing problem for general assembly systems applying MRP theory," International Journal of Production Economics, Elsevier, vol. 140(2), pages 765-777.
    Full references (including those not matched with items on IDEAS)

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