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Competition under time‐varying demands and dynamic lot sizing costs

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  • Awi Federgruen
  • Joern Meissner

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 planning 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. On the basis of 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. We also design efficient procedures to compute the equilibrium prices and dynamic lotsizing plans.© 2008 Wiley Periodicals, Inc. Naval Research Logistics 2009

Suggested Citation

  • Awi Federgruen & Joern Meissner, 2009. "Competition under time‐varying demands and dynamic lot sizing costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 56(1), pages 57-73, February.
    • Handle: RePEc:wly:navres:v:56:y:2009:i:1:p:57-73
    DOI: 10.1002/nav.20321
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    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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    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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