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Multitiered Supply Chain Networks: Multicriteria Decision—Making Under Uncertainty

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  • June Dong
  • Ding Zhang
  • Hong Yan
  • Anna Nagurney

Abstract

In this paper, we present a supply chain network model with multiple tiers of decision-makers, consisting, respectively, of manufacturers, distributors, and retailers, who can compete within a tier but may cooperate between tiers. We consider multicriteria decision-making for both the manufacturers and the distributors whereas the retailers are subject to decision-making under uncertainty since the demands associated with the product are random. We derive the optimality conditions for the decision-makers, establish the equilibrium conditions, and derive the variational inequality formulation. We then utilize the variational inequality formulation to provide both qualitative properties of the equilibrium product shipment, service level, and price pattern and to propose a computational procedure, along with convergence results. This is the first supply chain network model to capture both multicriteria decision-making and decision-making under uncertainty in an integrated equilibrium framework. Copyright Springer Science + Business Media, Inc. 2005

Suggested Citation

  • June Dong & Ding Zhang & Hong Yan & Anna Nagurney, 2005. "Multitiered Supply Chain Networks: Multicriteria Decision—Making Under Uncertainty," Annals of Operations Research, Springer, vol. 135(1), pages 155-178, March.
  • Handle: RePEc:spr:annopr:v:135:y:2005:i:1:p:155-178:10.1007/s10479-005-6239-3
    DOI: 10.1007/s10479-005-6239-3
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    References listed on IDEAS

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    1. Anna Nagurney & Lan Zhao, 1993. "Variational Inequalities and Networks in the Formulation and Computation of Market Equilibria and Disequilibria: The Case of Direct Demand Functions," Transportation Science, INFORMS, vol. 27(1), pages 4-15, February.
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    6. Dong, June & Zhang, Ding & Nagurney, Anna, 2004. "A supply chain network equilibrium model with random demands," European Journal of Operational Research, Elsevier, vol. 156(1), pages 194-212, July.
    7. A. Federgruen & P. Zipkin, 1986. "An Inventory Model with Limited Production Capacity and Uncertain Demands I. The Average-Cost Criterion," Mathematics of Operations Research, INFORMS, vol. 11(2), pages 193-207, May.
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    Cited by:

    1. Li, Dong & Nagurney, Anna & Yu, Min, 2018. "Consumer learning of product quality with time delay: Insights from spatial price equilibrium models with differentiated products," Omega, Elsevier, vol. 81(C), pages 150-168.
    2. Anna Nagurney & Mojtaba Salarpour & June Dong & Ladimer S. Nagurney, 2020. "A Stochastic Disaster Relief Game Theory Network Model," SN Operations Research Forum, Springer, vol. 1(2), pages 1-33, June.
    3. Po-Lung Yu & Yen-Chu Chen, 2012. "Dynamic multiple criteria decision making in changeable spaces: from habitual domains to innovation dynamics," Annals of Operations Research, Springer, vol. 197(1), pages 201-220, August.
    4. Hongtao Ren & Wenji Zhou & Marek Makowski & Hongbin Yan & Yadong Yu & Tieju Ma, 2021. "Incorporation of life cycle emissions and carbon price uncertainty into the supply chain network management of PVC production," Annals of Operations Research, Springer, vol. 300(2), pages 601-620, May.
    5. Zugang Liu & Anna Nagurney, 2013. "Supply chain networks with global outsourcing and quick-response production under demand and cost uncertainty," Annals of Operations Research, Springer, vol. 208(1), pages 251-289, September.
    6. 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.
    7. Sahitya Elluru & Hardik Gupta & Harpreet Kaur & Surya Prakash Singh, 2019. "Proactive and reactive models for disaster resilient supply chain," Annals of Operations Research, Springer, vol. 283(1), pages 199-224, December.
    8. Beyeler, Walter E. & Glass, Robert J. & Bech, Morten L. & Soramäki, Kimmo, 2007. "Congestion and cascades in payment systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 384(2), pages 693-718.
    9. Harpreet Kaur & Surya Prakash Singh, 2019. "Sustainable procurement and logistics for disaster resilient supply chain," Annals of Operations Research, Springer, vol. 283(1), pages 309-354, December.
    10. 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.
    11. Besik, Deniz & Nagurney, Anna & Dutta, Pritha, 2023. "An integrated multitiered supply chain network model of competing agricultural firms and processing firms: The case of fresh produce and quality," European Journal of Operational Research, Elsevier, vol. 307(1), pages 364-381.
    12. Liu, Zugang & Wang, Jia, 2019. "Supply chain network equilibrium with strategic financial hedging using futures," European Journal of Operational Research, Elsevier, vol. 272(3), pages 962-978.
    13. Zhang, Guoquan & Shang, Jennifer & Li, Wenli, 2011. "Collaborative production planning of supply chain under price and demand uncertainty," European Journal of Operational Research, Elsevier, vol. 215(3), pages 590-603, December.

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