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Dynamic lotsizing with a finite production rate

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  • Grubbström, Robert W.

Abstract

The dynamic lotsizing problem concerns the determination of optimally produced/delivered batch quantities, when demand, which is to be satisfied, is distributed over time in different amounts at different times. The standard formulation assumes that these batches are provided instantaneously, i.e. that the production rate is infinite.

Suggested Citation

  • Grubbström, Robert W., 2014. "Dynamic lotsizing with a finite production rate," International Journal of Production Economics, Elsevier, vol. 149(C), pages 68-79.
  • Handle: RePEc:eee:proeco:v:149:y:2014:i:c:p:68-79
    DOI: 10.1016/j.ijpe.2012.12.009
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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.
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    4. Robert W. Grubbström & Brian G. Kingsman, 2004. "Ordering and Inventory Policies for Step Changes in the Unit Item Cost: A Discounted Cash Flow Approach," Management Science, INFORMS, vol. 50(2), pages 253-267, February.
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    6. Aryanezhad, Mir-Bahador Q., 1992. "An algorithm based on a new sufficient condition of optimality in dynamic lot size model," European Journal of Operational Research, Elsevier, vol. 59(3), pages 425-433, June.
    7. De Bodt, Marc A. & Gelders, Ludo F. & Van Wassenhove, Luk N., 1984. "Lot sizing under dynamic demand conditions: A review," Engineering Costs and Production Economics, Elsevier, vol. 8(3), pages 165-187, December.
    8. 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.
    9. 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.
    10. Awi Federgruen & Michal Tzur, 1991. "A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time," Management Science, INFORMS, vol. 37(8), pages 909-925, August.
    11. 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.
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