IDEAS home Printed from https://ideas.repec.org/a/wsi/apjorx/v35y2018i02ns0217595918400031.html
   My bibliography  Save this article

Equilibrium Conditions of a Logistics Service Supply Chain with a New Smoothing Algorithm

Author

Listed:
  • Wei Liu

    (College of Transport and Communications, Shanghai Maritime University, Shanghai, P. R. China)

  • Chan He

    (College of Business, Shanghai Dianji University, Shanghai, P. R. China)

Abstract

In this paper, we develop a logistics service supply chain network equilibrium model in which four tiers of decision makers (logistics service subcontractors (LSS), logistics service providers (LSP), logistics services integrators (LSI) and logistics service demand sides (LSD)) seek to determine their respective optimal conditions, with the LSI holding a leading position. We model the optimizing behavior of decision-makers, with the LSI being multicriteria decision-makers which are concerned with both profit maximization and risk minimization. We derive the equilibrium conditions and establish the finite-dimensional variational inequality (VI) formulation. A new smoothing self-adaptive L-M algorithm is established to solve this problems. Finally, we illustrate the effectiveness and feasibility of the model by an example.

Suggested Citation

  • 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.
    • Handle: RePEc:wsi:apjorx:v:35:y:2018:i:02:n:s0217595918400031
    DOI: 10.1142/S0217595918400031
    as

    Download full text from publisher

    File URL: http://www.worldscientific.com/doi/abs/10.1142/S0217595918400031
    Download Restriction: Access to full text is restricted to subscribers
    File URL: https://libkey.io/10.1142/S0217595918400031?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. James V. Burke & Song Xu, 1998. "The Global Linear Convergence of a Noninterior Path-Following Algorithm for Linear Complementarity Problems," Mathematics of Operations Research, INFORMS, vol. 23(3), pages 719-734, August.
    2. Liu, Weihua & Liu, Yang & Zhu, Donglei & Wang, Yijia & Liang, Zhicheng, 2016. "The influences of demand disruption on logistics service supply chain coordination: A comparison of three coordination modes," International Journal of Production Economics, Elsevier, vol. 179(C), pages 59-76.
    3. 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.
    4. Mincong Tang & Yinan Qi & Min Zhang, 2017. "Impact of Product Modularity on Mass Customization Capability: An Exploratory Study of Contextual Factors," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(04), pages 939-959, July.
    5. Hau L. Lee & Corey Billington, 1993. "Material Management in Decentralized Supply Chains," Operations Research, INFORMS, vol. 41(5), pages 835-847, October.
    6. Gunasekaran, Angappa & Subramanian, Nachiappan & Papadopoulos, Thanos, 2017. "Information technology for competitive advantage within logistics and supply chains: A review," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 99(C), pages 14-33.
    7. Charles J. Corbett & Uday S. Karmarkar, 2001. "Competition and Structure in Serial Supply Chains with Deterministic Demand," Management Science, INFORMS, vol. 47(7), pages 966-978, July.
    8. 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, vol. 164(1), pages 120-142, July.
    9. 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.
    10. Anna Nagurney & Patrizia Daniele & Shivani Shukla, 2017. "A supply chain network game theory model of cybersecurity investments with nonlinear budget constraints," Annals of Operations Research, Springer, vol. 248(1), pages 405-427, January.
    11. Matthews, R C O, 1986. "The Economics of Institutions and the," Economic Journal, Royal Economic Society, vol. 96(384), pages 903-918, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. 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.
    4. Hsueh, Che-Fu & Chang, Mei-Shiang, 2008. "Equilibrium analysis and corporate social responsibility for supply chain integration," European Journal of Operational Research, Elsevier, vol. 190(1), pages 116-129, October.
    5. 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.
    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. Chan, Chi Kin & Zhou, Yan & Wong, Kar Hung, 2019. "An equilibrium model of the supply chain network under multi-attribute behaviors analysis," European Journal of Operational Research, Elsevier, vol. 275(2), pages 514-535.
    8. Anna Nagurney & Amir Masoumi & Min Yu, 2012. "Supply chain network operations management of a blood banking system with cost and risk minimization," Computational Management Science, Springer, vol. 9(2), pages 205-231, May.
    9. Zhang, Ding, 2006. "A network economic model for supply chain versus supply chain competition," Omega, Elsevier, vol. 34(3), pages 283-295, June.
    10. Nagurney, Anna & Ke, Ke, 2006. "Financial networks with intermediation: Risk management with variable weights," European Journal of Operational Research, Elsevier, vol. 172(1), pages 40-63, July.
    11. Yongtao Peng & Bohai Chen & Eleonora Veglianti, 2022. "Platform Service Supply Chain Network Equilibrium Model with Data Empowerment," Sustainability, MDPI, vol. 14(9), pages 1-21, April.
    12. Caiquan Duan & Guoyi Xiu & Fengmin Yao, 2019. "Multi-Period E-Closed-Loop Supply Chain Network Considering Consumers’ Preference for Products and AI-Push," Sustainability, MDPI, vol. 11(17), pages 1-32, August.
    13. Longfei He & Qinxu Gu & Junsong Bian & Kin Keung Lai & Xiao Zhang, 2023. "To Pool or Not to Pool in Carbon Quotas: Analyses of Emission Regulation and Operations in Supply Chain Supernetwork under Cap-and-Trade Policy," Annals of Operations Research, Springer, vol. 324(1), pages 311-353, May.
    14. Carland, Corinne & Goentzel, Jarrod & Montibeller, Gilberto, 2018. "Modeling the values of private sector agents in multi-echelon humanitarian supply chains," European Journal of Operational Research, Elsevier, vol. 269(2), pages 532-543.
    15. 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.
    16. Li, Xiaojing & Chen, Jing & Ai, Xingzheng, 2019. "Contract design in a cross-sales supply chain with demand information asymmetry," European Journal of Operational Research, Elsevier, vol. 275(3), pages 939-956.
    17. 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.
    18. Qiang, Qiang & Ke, Ke & Anderson, Trisha & Dong, June, 2013. "The closed-loop supply chain network with competition, distribution channel investment, and uncertainties," Omega, Elsevier, vol. 41(2), pages 186-194.
    19. Priom Mahmud & Sanjoy Kumar Paul & Abdullahil Azeem & Priyabrata Chowdhury, 2021. "Evaluating Supply Chain Collaboration Barriers in Small- and Medium-Sized Enterprises," Sustainability, MDPI, vol. 13(13), pages 1-28, July.
    20. Cuffaro, Nadia, 1997. "Population growth and agriculture in poor countries: A review of theoretical issues and empirical evidence," World Development, Elsevier, vol. 25(7), pages 1151-1163, July.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wsi:apjorx:v:35:y:2018:i:02:n:s0217595918400031. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Tai Tone Lim (email available below). General contact details of provider: http://www.worldscinet.com/apjor/apjor.shtml .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.