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Raw material procurement with fluctuating prices


  • 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.

Suggested Citation

  • Arnold, Jan & Minner, Stefan & Eidam, Björn, 2009. "Raw material procurement with fluctuating prices," International Journal of Production Economics, Elsevier, vol. 121(2), pages 353-364, October.
  • Handle: RePEc:eee:proeco:v:121:y:2009:i:2:p:353-364

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    References listed on IDEAS

    1. 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.
    2. 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.
    3. 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.
    4. 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.
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    Cited by:

    1. Inderfurth, Karl & Kelle, Peter & Kleber, Rainer, 2013. "Dual sourcing using capacity reservation and spot market: Optimal procurement policy and heuristic parameter determination," European Journal of Operational Research, Elsevier, vol. 225(2), pages 298-309.
    2. Sharma, Ashish & Banerjee, Snigdha, 2013. "Optimal price markup policy for an inventory model with random price fluctuations and option for additional purchase," International Journal of Production Economics, Elsevier, vol. 146(2), pages 620-633.
    3. Li, Hongyan & Meissner, Joern, 2011. "Competition under capacitated dynamic lot-sizing with capacity acquisition," International Journal of Production Economics, Elsevier, vol. 131(2), pages 535-544, June.
    4. Karl Inderfurth & Peter Kelle & Rainer Kleber, 2011. "Dual Sourcing Using Capacity Reservation and Spot Market: Optimal Procurement Policy and Heuristic Parameter Determination," FEMM Working Papers 110014, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
    5. Nathalie Sick & Matthias Blug & Jens Leker, 2014. "The Influence of Raw Material Prices on the Development of Hydrogen Storage Materials: The Case of Metal Hydrides," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 5(4), pages 735-760, December.
    6. M. Li & P. Guo & G. Yang & S. Fang, 2014. "IB-ICCMSP: An Integrated Irrigation Water Optimal Allocation and Planning Model Based on Inventory Theory under Uncertainty," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(1), pages 241-260, January.


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