Skip to main content

Modeling Multilocation Transshipment with Application of Stochastic Programming Approach

  • Conference paper
Integrated Uncertainty in Knowledge Modelling and Decision Making (IUKM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7027))

  • 875 Accesses

Abstract

Lateral transshipment could be used as an effective and fast replenishment policy in inventory systems. However, in decentralized supply chain systems, imperfect transshipment planning can make total costs increasingly. In this paper, we consider a single-item, multi-location, two-echelon supply chain system with lateral transshipment existence. A continuous review order-up-to policy is assumed for the inventory control of the item. Two objectives are investigated: total costs of the supplier, total costs of the retailers’ coalition. A stochastic multi-objective decision model is established to describe systems behavior. Based on stochastic quasi gradient algorithm (SQGA) and genetic algorithm (GA), a solution procedure is developed to obtain the with-probability-1 (w.p.1) optimal order-up-to levels. An extensive numerical experiment shows the model and algorithm is very efficient. We also test cost parameters sensitivity to the model.

This work was partially by the National Social Science Foundation of China under grant No. 10CGL025 and by the Jiangsu University Social Science Foundation under grant No. 2010SJB630055 and by the Nantong University Social Science Foundation under grant No. 09W021 and by the Nantong University Nature Science Foundation under grant No. 10ZJ010.

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. Herer, Y.T., Tzur, M., Ycesam, E.: The multilocation transshipment problem. IIE Trans. 38(3), 185–200 (2006)

    Article  Google Scholar 

  2. Paterson, C., Kiesmller, G., Teunter, G., Glazebrook, K.: Inventory models with lateral transshipments: A review. Euro. J. Oper. Res. 210(2), 125–136 (2011)

    Article  MathSciNet  Google Scholar 

  3. Olsson, F.: An inventory model with unidirectional lateral transshipments. Euro. J. Oper. Res. 200(3), 725–732 (2011)

    Article  MATH  Google Scholar 

  4. Chen, J., Lu, J.: Influence of Lateral Transshipment Policy on Supply Chain Performance: A Stochastic Demand Case. iBusiness 2(1), 77–86 (2010)

    Article  Google Scholar 

  5. Lee, H.L.: A multi-echelon inventory model for repairable items with emergency lateral transshipments. Management Sci. 33(10), 1302–1316 (1987)

    Article  Google Scholar 

  6. Tagaras, G.: Effects of pooling on the optimization and service levels of two-location inventory systems. IIE Trans. 21(3), 250–257 (1989)

    Article  Google Scholar 

  7. Herer, Y.T., Rashit, A.: Lateral stock transshipments in a two-location inventory system with fixed and joint replenishment costs. Naval Res. Logist. 96(5), 525–547 (1999)

    Article  MathSciNet  MATH  Google Scholar 

  8. Rudi, N., Kapur, S., Pyke, D.F.: A two-location inventory model with transshipment and local decision making. Management Sci. 47(12), 1668–1680 (2001)

    Article  MATH  Google Scholar 

  9. Dong, L., Rudi, N.: Who benefits from transshipment? Exogenous vs. Endogenous wholesale price. Management Sci. 50(5), 645–667 (2004)

    Article  Google Scholar 

  10. Hu, X., Duenyas, I., Kapuscinski, R.: Existence of coordinating transshipment prices in a two-location inventory model. Management Sci. 53(8), 1289–1302 (2007)

    Article  MATH  Google Scholar 

  11. Hu, X., Duenyas, I., Kapuscinski, R.: Optimal joint inventory and transshipment control under uncertain capacity. Oper. Res. 53(8), 1289–1302 (2007)

    MATH  Google Scholar 

  12. Hanny, E., Tzur, M., Levran, A.: The transshipment fund mechanism: Coordinating the decentralized multilocation transshipment problem. Naval Res. Logist. 57(4), 342–353 (2010)

    MathSciNet  MATH  Google Scholar 

  13. Ermoliev, Y.: Stochastic quasigradient methods and their application to system optimization. Stochastics: An International Journal of Probability and Stochastic Processes 9(1-2), 1045–1129 (1983)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Chen, J., Lu, J. (2011). Modeling Multilocation Transshipment with Application of Stochastic Programming Approach. In: Tang, Y., Huynh, VN., Lawry, J. (eds) Integrated Uncertainty in Knowledge Modelling and Decision Making. IUKM 2011. Lecture Notes in Computer Science(), vol 7027. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24918-1_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-24918-1_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24917-4

  • Online ISBN: 978-3-642-24918-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics