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A note on supply chain network equilibrium models

Author

Listed:
  • Meng, Qiang
  • Huang, Yi Kai
  • Cheu, Ruey Long

Abstract

This paper is concerned with the supply chain network equilibrium models proposed by Nagurney et al. [Nagurney, A., Dong, J., Zhang, D., 2002. A supply chain network equilibrium model. Transportation Research 38E, 281-303] and Dong et al. [Dong, J., Zhang, D., Nagurney, A., 2004. A supply chain network equilibrium model with random demands. European Journal of Operational Research 156, 194-212]. It demonstrates that these models possess the unconstrained continuously differentiable minimization formulations, whose any stationary point is the solution of the corresponding model. Accordingly, not only is the Quasi-Newton algorithm capable of finding a solution of the model, but also it can overcome the difficulty experienced by the modified projection method in choosing an appropriate predetermined step size. In addition, 11 benchmark examples are employed to show the advantage of the unconstrained minimization formulation.

Suggested Citation

  • Meng, Qiang & Huang, Yi Kai & Cheu, Ruey Long, 2007. "A note on supply chain network equilibrium models," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 43(1), pages 60-71, January.
    • Handle: RePEc:eee:transe:v:43:y:2007:i:1:p:60-71
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    Citations

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    Cited by:

    1. Meng, Qiang & Huang, Yikai & Cheu, Ruey Long, 2009. "Competitive facility location on decentralized supply chains," European Journal of Operational Research, Elsevier, vol. 196(2), pages 487-499, July.
    2. Rezapour, Shabnam & Hassani, Ashkan & Farahani, Reza Zanjirani, 2015. "Concurrent design of product family and supply chain network considering quality and price," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 81(C), pages 18-35.
    3. Rezapour, Shabnam & Farahani, Reza Zanjirani & Dullaert, Wout & De Borger, Bruno, 2014. "Designing a new supply chain for competition against an existing supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 67(C), pages 124-140.
    4. Wei Liu & Chan He, 2018. "Equilibrium Conditions of a Logistics Service Supply Chain with a New Smoothing Algorithm," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(02), pages 1-22, April.
    5. Xu, Y.D. & Li, S.J. & Teo, K.L., 2012. "Vector network equilibrium problems with capacity constraints of arcs," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(3), pages 567-577.
    6. Farahani, Reza Zanjirani & Rezapour, Shabnam & Drezner, Tammy & Fallah, Samira, 2014. "Competitive supply chain network design: An overview of classifications, models, solution techniques and applications," Omega, Elsevier, vol. 45(C), pages 92-118.
    7. Yamada, Tadashi & Febri, Zukhruf, 2015. "Freight transport network design using particle swarm optimisation in supply chain–transport supernetwork equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 75(C), pages 164-187.
    8. Yamada, Tadashi & Imai, Koji & Nakamura, Takamasa & Taniguchi, Eiichi, 2011. "A supply chain-transport supernetwork equilibrium model with the behaviour of freight carriers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 887-907.
    9. Zhang, Yan & Xia, Guoping, 2010. "Short-run cost-based pricing model for a supply chain network," International Journal of Production Economics, Elsevier, vol. 128(1), pages 167-174, November.

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