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Raw material procurement with fluctuating prices

Listed author(s):
  • Arnold, Jan
  • Minner, Stefan
  • Eidam, Björn

Increasing global competition and cost pressure force enterprises and supply chains to discover undetected cost-saving potentials. In particular, interfaces to the raw materials' market are a promising field for improvement. This paper presents a deterministic optimal control approach optimizing the procurement and inventory policy of an enterprise that is processing a raw material when the purchasing price, holding cost, and the demand rate fluctuate over time. Applying Pontryagin's maximum principle, the optimal policy turns out to be of a bang-bang type involving impulse and just-in-time procurement. Numerical examples illustrate the solutions obtained and compare the optimal policy with simple replenishment strategies.

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Article provided by Elsevier in its journal International Journal of Production Economics.

Volume (Year): 121 (2009)
Issue (Month): 2 (October)
Pages: 353-364

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Handle: RePEc:eee:proeco:v:121:y:2009:i:2:p:353-364
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  1. 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.
  2. Luhmer, Alfred, 1986. "A continuous time, deterministic, nonstationary model of economic ordering," European Journal of Operational Research, Elsevier, vol. 24(1), pages 123-135, January.
  3. Sarker, Bhaba R. & Al Kindi, Mahmood, 2006. "Erratum to "Optimal ordering policies in response to discount offer" [International Journal of Production Economics 100 (2006) 195-211]," International Journal of Production Economics, Elsevier, vol. 103(2), pages 895-895, October.
  4. Sarker, Bhaba R. & Al Kindi, Mahmood, 2006. "Optimal ordering policies in response to a discount offer," International Journal of Production Economics, Elsevier, vol. 100(2), pages 195-211, April.
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