Competition under Time-Varying Demands and Dynamic Lot-Sizing Costs
AbstractWe 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.
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Bibliographic InfoPaper provided by Department of Management Science, Lancaster University in its series Working Papers with number MRG/0003.
Length: 37 pages
Date of creation: Jun 2004
Date of revision: May 2008
Publication status: Published in Naval Research Logistics Vol 56, No 1 (February 2009), pp 57Ð73.
equilibrium; price; competition; game theory; inventory models; lot sizing; pricing; supply chain management;
Find related papers by 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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