IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2013y2013i1n605017.html

Stabilization Strategies of Supply Networks with Stochastic Switched Topology

Author

Listed:
  • Shukai Li
  • Jianxiong Zhang
  • Wansheng Tang

Abstract

In this paper, a dynamical supply networks model with stochastic switched topology is presented, in which the stochastic switched topology is dependent on a continuous time Markov process. The goal is to design the state‐feedback control strategies to stabilize the dynamical supply networks. Based on Lyapunov stability theory, sufficient conditions for the existence of state feedback control strategies are given in terms of matrix inequalities, which ensure the robust stability of the supply networks at the stationary states and a prescribed H∞ disturbance attenuation level with respect to the uncertain demand. A numerical example is given to illustrate the effectiveness of the proposed method.

Suggested Citation

  • Shukai Li & Jianxiong Zhang & Wansheng Tang, 2013. "Stabilization Strategies of Supply Networks with Stochastic Switched Topology," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:605017
    DOI: 10.1155/2013/605017
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/605017
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/605017?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
    ---><---

    References listed on IDEAS

    as
    1. Helbing, Dirk & Armbruster, Dieter & Mikhailov, Alexander S. & Lefeber, Erjen, 2006. "Information and material flows in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 1-1.
    2. Nagatani, Takashi & Helbing, Dirk, 2004. "Stability analysis and stabilization strategies for linear supply chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 644-660.
    3. Fenglan He & Ming Dong & Xiaofeng Shao, 2011. "Modeling and Analysis of Material Flows in Re‐Entrant Supply Chain Networks Using Modified Partial Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    4. Fenglan He & Ming Dong & Xiaofeng Shao, 2011. "Modeling and Analysis of Material Flows in Re-Entrant Supply Chain Networks Using Modified Partial Differential Equations," Journal of Applied Mathematics, Hindawi, vol. 2011, pages 1-14, February.
    5. Jianxiong Zhang & Wansheng Tang, 2012. "Optimal Control for a Class of Chaotic Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    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, vol. 45(1), pages 16-28, January.
    7. Elodie Adida & Georgia Perakis, 2007. "A nonlinear continuous time optimal control model of dynamic pricing and inventory control with no backorders," Naval Research Logistics (NRL), John Wiley & Sons, vol. 54(7), pages 767-795, October.
    8. Laumanns, Marco & Lefeber, Erjen, 2006. "Robust optimal control of material flows in demand-driven supply networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 24-31.
    9. Jianxiong Zhang & Wansheng Tang, 2012. "Optimal Control for a Class of Chaotic Systems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-20, April.
    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. Carmen Nejneru & Anca Nicuţă & Boris Constantin & Liliana Rozemarie Manea & Mirela Teodorescu & Maricel Agop, 2013. "Dynamics Control of the Complex Systems via Nondifferentiability," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. Yan Zhou & Xin-Tong Lin & Zhi-Ping Fan & Kar-Hung Wong, 2022. "Remanufacturing Strategy Choice of a Closed-Loop Supply Chain Network Considering Carbon Emission Trading, Green Innovation, and Green Consumers," IJERPH, MDPI, vol. 19(11), pages 1-42, June.
    3. Zhang, Abraham & Wang, Jason X. & Farooque, Muhammad & Wang, Yulan & Choi, Tsan-Ming, 2021. "Multi-dimensional circular supply chain management: A comparative review of the state-of-the-art practices and research," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 155(C).
    4. Yang, Yuxiang & Goodarzi, Shadi & Jabbarzadeh, Armin & Fahimnia, Behnam, 2022. "In-house production and outsourcing under different emissions reduction regulations: An equilibrium decision model for global supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    5. Bhattacharya, Sourabh & Govindan, Kannan & Ghosh Dastidar, Surajit & Sharma, Preeti, 2024. "Applications of artificial intelligence in closed-loop supply chains: Systematic literature review and future research agenda," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 184(C).
    6. Klug, Florian, 2014. "Modelling and analysis of synchronised material flow with fluid dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 404-417.
    7. Zheng, Yongai & Ji, Zhilin, 2016. "Predictive control of fractional-order chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 307-313.
    8. Guowei Liu & Jianxiong Zhang & Wansheng Tang, 2015. "Joint dynamic pricing and investment strategy for perishable foods with price-quality dependent demand," Annals of Operations Research, Springer, vol. 226(1), pages 397-416, March.
    9. Yan Zhou & Xue-Qi Liu & Kar-Hung Wong, 2021. "Remanufacturing Policies Options for a Closed-Loop Supply Chain Network," Sustainability, MDPI, vol. 13(12), pages 1-26, June.
    10. Guitao Zhang & Xiao Zhang & Hao Sun & Xinyu Zhao, 2021. "Three-Echelon Closed-Loop Supply Chain Network Equilibrium under Cap-and-Trade Regulation," Sustainability, MDPI, vol. 13(11), pages 1-26, June.
    11. Yu-yan Wang & Yuan-yuan Zhang, 2017. "Remanufacturer’s production strategy with capital constraint and differentiated demand," Journal of Intelligent Manufacturing, Springer, vol. 28(4), pages 869-882, April.
    12. 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.
    13. Chunguang Bai & Kannan Govindan & Dileep Dhavale, 2024. "Optimal selection and investment-allocation decisions for sustainable supplier development practices," Annals of Operations Research, Springer, vol. 335(1), pages 1-31, April.
    14. Kristianto, Yohanes & Helo, Petri, 2014. "Product architecture modularity implications for operations economy of green supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 70(C), pages 128-145.
    15. Li, Gang & Yang, Hongjiao & Sun, Linyan & Ji, Ping & Feng, Lei, 2010. "The evolutionary complexity of complex adaptive supply networks: A simulation and case study," International Journal of Production Economics, Elsevier, vol. 124(2), pages 310-330, April.
    16. Felix T.S. Chan & Nan Li & S.H. Chung & Mozafar Saadat, 2017. "Management of sustainable manufacturing systems-a review on mathematical problems," International Journal of Production Research, Taylor & Francis Journals, vol. 55(4), pages 1210-1225, February.
    17. Chen, Jen-Ming & Chang, Chia-I, 2012. "The co-opetitive strategy of a closed-loop supply chain with remanufacturing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 48(2), pages 387-400.
    18. Azevedo, Susana G. & Carvalho, Helena & Cruz Machado, V., 2011. "The influence of green practices on supply chain performance: A case study approach," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 47(6), pages 850-871.
    19. Hamdouch, Younes & Ghoudi, Kilani, 2020. "A Supply Chain Equilibrium Model with General Price-Dependent Demand," Operations Research Perspectives, Elsevier, vol. 7(C).
    20. Kristianto, Yohanes & Helo, Petri, 2015. "Reprint of “Product architecture modularity implications for operations economy of green supply chains”," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 74(C), pages 63-80.

    More about this item

    Statistics

    Access and download statistics

    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:wly:jnljam:v:2013:y:2013:i:1:n:605017. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    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.