Skip to main content

A Markov Model for Inventory Level Optimization in Supply-Chain Management

  • Conference paper
Book cover Advances in Artificial Intelligence (Canadian AI 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3501))

Abstract

We propose a technique for use in supply-chain management that assists the decision-making process for purchases of direct goods. Based on projections for future prices and demand, requests-for-quotes are constructed and quotes are accepted that optimize the level of inventory each day, while minimizing total cost. The problem is modeled as a Markov decision process (MDP), which allows for the computation of the utility of actions to be based on the utilities of consequential future states. Dynamic programming is then used to determine the optimal quote requests and accepts at each state in the MDP. The model is then used to formalize the subproblem of determining optimal request quantities, yielding a technique that is shown experimentally to outperform a standard technique from the literature. The implementation of our entry in the Trading Agent Competition-Supply Chain Management game is also discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arunachalam, R., Eriksson, J., Finne, N., Janson, S., Sadeh, N.: The supply chain management game for the trading agent competition 2004 (Date accessed: April 8, 2004), http://www.sics.se/tac/tacscm_04spec.pdf ,

  2. Arunachalam, R., Sadeh, N.: The 2003 supply chain management trading agent competition. In: Rauterberg, M. (ed.) ICEC 2004. LNCS, vol. 3166, pp. 113–120. Springer, Heidelberg (2004)

    Google Scholar 

  3. Bellman, R.: Dynamic Programming. Princeton University Press, Princeton (1957)

    MATH  Google Scholar 

  4. Boutilier, C., Goldszmidt, M., Sabata, B.: Continuous value function approximation for sequential bidding policies. In: the Fifteenth Annual Conference on Uncertainty in Artificial Intelligence (UAI 1999), Stockholm, pp. 81–90 (1999)

    Google Scholar 

  5. Boutilier, C., Goldszmidt, M., Sabata, B.: Sequential auctions for the allocation of resources with complementaries. In: The Sixteenth International Joint Conference on Artificial Intelligence (IJCAI 1999), Stockholm, pp. 527–534 (1999)

    Google Scholar 

  6. Buffett, S., Grant, A.: A decision-theoretic algorithm for bundle purchasing in multiple open ascending price auctions. In: Webb, G.I., Yu, X. (eds.) AI 2004. LNCS (LNAI), vol. 3339, pp. 429–433. Springer, Heidelberg (2004)

    Google Scholar 

  7. Buffett, S., Scott, N.: An algorithm for procurement in supply chain management. In: Proc. of the Trading Agent Design and Analysis Workshop (TADA 2004), New York, pp. 9–14 (2004)

    Google Scholar 

  8. Byde, A.: A dynamic programming model for algorithm design in simultaneous auctions. In: Fiege, L., Mühl, G., Wilhelm, U.G. (eds.) WELCOM 2001. LNCS, vol. 2232, p. 152. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  9. Howard, R.A.: Dynamic Programming and Markov Processes. MIT Press, Cambridge (1960)

    MATH  Google Scholar 

  10. Preist, C., Bartolini, C., Byde, A.: Agent-based service composition through simultaneous negotiation in forward and reverse auctions. In: Proceedings of the 4th ACM Conference on Electronic Commerce, San Diego, California, USA, pp. 55–63 (2003)

    Google Scholar 

  11. Priest, C., Byde, A., Bartolini, C., Piccinelli, G.: Towards agent-based service composition through negotiation in multiple auctions. In: AISB 2001 Symp. on Inf. Agents for Electronic Commerce (2001)

    Google Scholar 

  12. Puterman, M.L.: Markov Decision Processes. Wiley, Chichester (1994)

    Book  MATH  Google Scholar 

  13. Shapiro, J.F.: Modeling the Supply Chain. Duxbury, Pacific Grove, CA (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Buffett, S. (2005). A Markov Model for Inventory Level Optimization in Supply-Chain Management. In: Kégl, B., Lapalme, G. (eds) Advances in Artificial Intelligence. Canadian AI 2005. Lecture Notes in Computer Science(), vol 3501. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11424918_15

Download citation

  • DOI: https://doi.org/10.1007/11424918_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-25864-3

  • Online ISBN: 978-3-540-31952-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics