Advanced Search
MyIDEAS: Login to save this paper or follow this series

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

Contents:

Author Info

  • 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.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.meiss.com/en/publications/competition-lot-sizing.html
File Function: Webpage
Download Restriction: no

File URL: http://www.meiss.com/download/SC-Federgruen-Meissner.pdf
File Function: Full Paper
Download Restriction: no

Bibliographic Info

Paper provided by Department of Management Science, Lancaster University in its series Working Papers with number MRG/0003.

as in new window
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.
Handle: RePEc:lms:mansci:mrg-0003

Contact details of provider:
Postal: LANCASTER LA1 4YX
Web page: http://www.lums.lancs.ac.uk/departments/ManSci/
More information through EDIRC

Related research

Keywords: equilibrium; price; competition; game theory; inventory models; lot sizing; pricing; supply chain management;

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Jehoshua Eliashberg & Abel P. Jeuland, 1986. "The Impact of Competitive Entry in a Developing Market Upon Dynamic Pricing Strategies," Marketing Science, INFORMS, vol. 5(1), pages 20-36.
  2. Engelbert Dockner & Steffen Jørgensen, 1988. "Optimal Pricing Strategies for New Products in Dynamic Oligopolies," Marketing Science, INFORMS, vol. 7(4), pages 315-334.
  3. Clarke, Darral G & Dolan, Robert J, 1984. "A Simulation Analysis of Alternative Pricing Strategies for Dynamic Environments," The Journal of Business, University of Chicago Press, vol. 57(1), pages S179-200, January.
  4. Milgrom, Paul & Roberts, John, 1990. "Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities," Econometrica, Econometric Society, vol. 58(6), pages 1255-77, November.
  5. Anil K. Kashyap, 1990. "Sticky prices: new evidence from retail catalogs," Finance and Economics Discussion Series 112, Board of Governors of the Federal Reserve System (U.S.).
  6. Gérard P. Cachon & Patrick T. Harker, 2002. "Competition and Outsourcing with Scale Economies," Management Science, INFORMS, vol. 48(10), pages 1314-1333, October.
  7. Howard Kunreuther & Linus Schrage, 1973. "Joint Pricing and Inventory Decisions for Constant Priced Items," Management Science, INFORMS, vol. 19(7), pages 732-738, March.
  8. van den Heuvel, Wilco & Wagelmans, Albert P.M., 2006. "A polynomial time algorithm for a deterministic joint pricing and inventory model," European Journal of Operational Research, Elsevier, vol. 170(2), pages 463-480, April.
  9. Shlomo Kalish, 1983. "Monopolist Pricing with Dynamic Demand and Production Cost," Marketing Science, INFORMS, vol. 2(2), pages 135-159.
  10. Peter E. Rossi & Judith A. Chevalier & Anil K. Kashyap, 2002. "Why Don't Prices Rise During Periods of Peak Demand? Evidence from Scanner Data," Yale School of Management Working Papers ysm291, Yale School of Management.
  11. Cecchetti, Stephen G., 1986. "The frequency of price adjustment : A study of the newsstand prices of magazines," Journal of Econometrics, Elsevier, vol. 31(3), pages 255-274, April.
  12. Joseph Thomas, 1970. "Price-Production Decisions with Deterministic Demand," Management Science, INFORMS, vol. 16(11), pages 747-750, July.
Full references (including those not matched with items on IDEAS)

Citations

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:lms:mansci:mrg-0003. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Joern Meissner).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.