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Joint pricing-procurement control under fluctuating raw material costs

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  • Liu, Yifeng
  • Yang, Jian

Abstract

We consider a firm that periodically procures raw material units, stores them, and processes them into finished products upon order arrivals. The raw material cost evolves in a Markovian fashion, whereas the demand process is influenced by both the raw material cost and sales prices charged by the firm. The firm controls both the raw material procurement activity and sales price in each period. We show the optimality of base-stock-list-price type of policies with the additional raw-cost dependence. Under conditions that are verifiable when the firm engages in price competition with other firms tapping into the same raw material market and when the raw material cost process has time-continuity and mean-reversion tendencies, we identify two monotone patterns in which policy parameters should follow as the raw material cost fluctuates. Cost increases are also shown to translate into price increases at low inventory levels. In other circumstances, however, there does not appear to be a clear pattern as to how the firm should pass cost increases on to end customers. Our numerical evidence unequivocally supports the adaptation of procurement and pricing controls to changing raw material costs.

Suggested Citation

  • Liu, Yifeng & Yang, Jian, 2015. "Joint pricing-procurement control under fluctuating raw material costs," International Journal of Production Economics, Elsevier, vol. 168(C), pages 91-104.
    • Handle: RePEc:eee:proeco:v:168:y:2015:i:c:p:91-104
    DOI: 10.1016/j.ijpe.2015.05.039
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    1. Awi Federgruen & Aliza Heching, 1999. "Combined Pricing and Inventory Control Under Uncertainty," Operations Research, INFORMS, vol. 47(3), pages 454-475, June.
    2. Jeffrey M. Perloff & Steven C. Salop, 1985. "Equilibrium with Product Differentiation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(1), pages 107-120.
    3. T. Fabian & J. L. Fisher & M. W. Sasieni & A. Yardeni, 1959. "Purchasing Raw Material on a Fluctuating Market," Operations Research, INFORMS, vol. 7(1), pages 107-122, February.
    4. Youyi Feng & Guillermo Gallego, 1995. "Optimal Starting Times for End-of-Season Sales and Optimal Stopping Times for Promotional Fares," Management Science, INFORMS, vol. 41(8), pages 1371-1391, August.
    5. Leif Andersen, 2010. "Markov models for commodity futures: theory and practice," Quantitative Finance, Taylor & Francis Journals, vol. 10(8), pages 831-854.
    6. X. Guo & P. Kaminsky & P. Tomecek & M. Yuen, 2011. "Optimal spot market inventory strategies in the presence of cost and price risk," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 73(1), pages 109-137, February.
    7. Guillermo Gallego & Garrett van Ryzin, 1994. "Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons," Management Science, INFORMS, vol. 40(8), pages 999-1020, August.
    8. Ryan, Terence M., 1973. "Security Prices as Markov Processes," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(1), pages 17-36, January.
    9. Chung-Lun Li & Panos Kouvelis, 1999. "Flexible and Risk-Sharing Supply Contracts Under Price Uncertainty," Management Science, INFORMS, vol. 45(10), pages 1378-1398, October.
    10. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    11. Basil A. Kalymon, 1971. "Stochastic Prices in a Single-Item Inventory Purchasing Model," Operations Research, INFORMS, vol. 19(6), pages 1434-1458, October.
    12. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring.
    13. Jing-Sheng Song & Paul Zipkin, 1993. "Inventory Control in a Fluctuating Demand Environment," Operations Research, INFORMS, vol. 41(2), pages 351-370, April.
    14. Kamal Golabi, 1985. "Optimal Inventory Policies When Ordering Prices are Random," Operations Research, INFORMS, vol. 33(3), pages 575-588, June.
    15. Edwin S. Mills, 1959. "Uncertainty and Price Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 73(1), pages 116-130.
    16. Wen Zhao & Yu-Sheng Zheng, 2000. "Optimal Dynamic Pricing for Perishable Assets with Nonhomogeneous Demand," Management Science, INFORMS, vol. 46(3), pages 375-388, March.
    17. Xin Chen & David Simchi-Levi, 2004. "Coordinating Inventory Control and Pricing Strategies with Random Demand and Fixed Ordering Cost: The Infinite Horizon Case," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 698-723, August.
    18. Howe, Roger, 1982. "Most convex functions are smooth," Journal of Mathematical Economics, Elsevier, vol. 9(1-2), pages 37-39, January.
    19. Paul Zipkin, 2008. "On the Structure of Lost-Sales Inventory Models," Operations Research, INFORMS, vol. 56(4), pages 937-944, August.
    20. Serhan Ziya & Hayriye Ayhan & Robert D. Foley, 2004. "Relationships Among Three Assumptions in Revenue Management," Operations Research, INFORMS, vol. 52(5), pages 804-809, October.
    21. Nicola Secomandi, 2010. "Optimal Commodity Trading with a Capacitated Storage Asset," Management Science, INFORMS, vol. 56(3), pages 449-467, March.
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    Cited by:

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