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The closed-loop supply chain network with competition, distribution channel investment, and uncertainties

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  • Qiang, Qiang
  • Ke, Ke
  • Anderson, Trisha
  • Dong, June
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    Abstract

    In this paper, a closed-loop supply chain network is investigated with decentralized decision-makers consisting of raw material suppliers, retail outlets, and the manufacturers that collect the recycled product directly from the demand market. We derive the optimality conditions of the various decision-makers, and establish that the governing equilibrium conditions can be formulated as a finite-dimensional variational inequality problem. We establish convergence of the proposed algorithm that can allow for the discussion of the effects of competition, distribution channel investment, yield and conversion rates, combined with uncertainties in demand, on equilibrium quantity transactions and prices. Numerical examples are provided for illustration.

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    Bibliographic Info

    Article provided by Elsevier in its journal Omega.

    Volume (Year): 41 (2013)
    Issue (Month): 2 ()
    Pages: 186-194

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    Handle: RePEc:eee:jomega:v:41:y:2013:i:2:p:186-194

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    Related research

    Keywords: Environmental responsibility; Remanufacturing; Closed-loop supply chain;

    References

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    1. Hammond, David & Beullens, Patrick, 2007. "Closed-loop supply chain network equilibrium under legislation," European Journal of Operational Research, Elsevier, Elsevier, vol. 183(2), pages 895-908, December.
    2. L. Beril Toktay & Lawrence M. Wein & Stefanos A. Zenios, 2000. "Inventory Management of Remanufacturable Products," Management Science, INFORMS, INFORMS, vol. 46(11), pages 1412-1426, November.
    3. Dong, June & Zhang, Ding & Nagurney, Anna, 2004. "A supply chain network equilibrium model with random demands," European Journal of Operational Research, Elsevier, Elsevier, vol. 156(1), pages 194-212, July.
    4. Nagurney, Anna & Toyasaki, Fuminori, 2005. "Reverse supply chain management and electronic waste recycling: a multitiered network equilibrium framework for e-cycling," Transportation Research Part E: Logistics and Transportation Review, Elsevier, Elsevier, vol. 41(1), pages 1-28, January.
    5. Ferrer, Geraldo, 2003. "Yield information and supplier responsiveness in remanufacturing operations," European Journal of Operational Research, Elsevier, Elsevier, vol. 149(3), pages 540-556, September.
    6. Yang, Guang-fen & Wang, Zhi-ping & Li, Xiao-qiang, 2009. "The optimization of the closed-loop supply chain network," Transportation Research Part E: Logistics and Transportation Review, Elsevier, Elsevier, vol. 45(1), pages 16-28, January.
    7. Minner, Stefan, 2001. "Strategic safety stocks in reverse logistics supply chains," International Journal of Production Economics, Elsevier, Elsevier, vol. 71(1-3), pages 417-428, May.
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    10. Sheu, Jiuh-Biing & Chou, Yi-Hwa & Hu, Chun-Chia, 2005. "An integrated logistics operational model for green-supply chain management," Transportation Research Part E: Logistics and Transportation Review, Elsevier, Elsevier, vol. 41(4), pages 287-313, July.
    11. Nagurney, Anna & Cruz, Jose & Dong, June & Zhang, Ding, 2005. "Supply chain networks, electronic commerce, and supply side and demand side risk," European Journal of Operational Research, Elsevier, Elsevier, vol. 164(1), pages 120-142, July.
    12. Georgiadis, Michael C. & Tsiakis, Panagiotis & Longinidis, Pantelis & Sofioglou, Maria K., 2011. "Optimal design of supply chain networks under uncertain transient demand variations," Omega, Elsevier, Elsevier, vol. 39(3), pages 254-272, June.
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    14. Wongthatsanekorn, Wuthichai & Realff, Matthew J. & Ammons, Jane C., 2010. "Multi-time scale Markov decision process approach to strategic network growth of reverse supply chains," Omega, Elsevier, Elsevier, vol. 38(1-2), pages 20-32, February.
    15. Nagurney, Anna & Dong, June & Zhang, Ding, 2002. "A supply chain network equilibrium model," Transportation Research Part E: Logistics and Transportation Review, Elsevier, Elsevier, vol. 38(5), pages 281-303, September.
    16. Chen, Liang-Hsuan & Chen, Ying-Che, 2010. "A multiple-item budget-constraint newsboy problem with a reservation policy," Omega, Elsevier, Elsevier, vol. 38(6), pages 431-439, December.
    17. Bayindir, Z. Pelin & Erkip, Nesim & Gullu, Refik, 2003. "A model to evaluate inventory costs in a remanufacturing environment," International Journal of Production Economics, Elsevier, Elsevier, vol. 81(1), pages 597-607, January.
    18. Barker, Theresa J. & Zabinsky, Zelda B., 2011. "A multicriteria decision making model for reverse logistics using analytical hierarchy process," Omega, Elsevier, Elsevier, vol. 39(5), pages 558-573, October.
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    Citations

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    Cited by:
    1. Li, Chuanfa & Feng, Lipan & Wang, Xuehong, 2014. "随机需求下的weee双回收渠道管理研究
      [Dual-recycling channel management for WEEE with stochastic demand]
      ," MPRA Paper 57959, University Library of Munich, Germany.
    2. Toyasaki, Fuminori & Daniele, Patrizia & Wakolbinger, Tina, 2014. "A variational inequality formulation of equilibrium models for end-of-life products with nonlinear constraints," European Journal of Operational Research, Elsevier, Elsevier, vol. 236(1), pages 340-350.
    3. Özceylan, Eren & Paksoy, Turan & Bektaş, Tolga, 2014. "Modeling and optimizing the integrated problem of closed-loop supply chain network design and disassembly line balancing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, Elsevier, vol. 61(C), pages 142-164.
    4. Li, Chuanfa & Feng, Lipan & Wang, Xuehong, 2014. "随机需求下的weee双回收渠道管理研究
      [Dual-recycling channel management for WEEE with stochastic demand]
      ," MPRA Paper 58142, University Library of Munich, Germany.
    5. Longinidis, Pantelis & Georgiadis, Michael C., 2014. "Integration of sale and leaseback in the optimal design of supply chain networks," Omega, Elsevier, Elsevier, vol. 47(C), pages 73-89.

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