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Competition under Time-Varying Demands and Dynamic Lot-Sizing Costs

Author

Listed:
  • Awi Federgruen

    (Graduate School of Business, Columbia University)

  • Joern Meissner

    (Department of Management Science, Lancaster University Management School)

Abstract

We develop a competitive pricing model which combines the complexity of time-varying demand and cost functions and that of scale economies arising from dynamic lot sizing costs. Each firm can replenish inventory in each of the T periods into which the planing horizon is partitioned. Fixed as well as variable procurement costs are incurred for each procurement order, along with inventory carrying costs. Each firm adopts, at the beginning of the planning horizon, a (single) price to be employed throughout the horizon. Based on each period's system of demand equations, these prices determine a time series of demands for each firm, which needs to service them with an optimal corresponding dynamic lot sizing plan. We establish the existence of a price equilibrium and associated optimal dynamic lotsizing plans, under mild conditions and employing a close approximation for the optimal lotsizing costs. We also design efficient procedures to compute the equilibrium prices and dynamic lotsizing plans.

Suggested Citation

  • Awi Federgruen & Joern Meissner, 2004. "Competition under Time-Varying Demands and Dynamic Lot-Sizing Costs," Working Papers MRG/0003, Department of Management Science, Lancaster University, revised May 2008.
    • Handle: RePEc:lms:mansci:mrg-0003
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    Cited by:

    1. Carvalho, Margarida & Pedroso, João Pedro & Telha, Claudio & Van Vyve, Mathieu, 2018. "Competitive uncapacitated lot-sizing game," International Journal of Production Economics, Elsevier, vol. 204(C), pages 148-159.
    2. 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.
    3. Ying Wei, 2020. "Optimizing constant pricing and inventory decisions for a periodic review system with batch ordering," Annals of Operations Research, Springer, vol. 291(1), pages 939-957, August.

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    More about this item

    Keywords

    equilibrium; price; competition; game theory; inventory models; lot sizing; pricing; supply chain management;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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