IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v489y2018icp141-148.html
   My bibliography  Save this article

Exploring the evolutionary mechanism of complex supply chain systems using evolving hypergraphs

Author

Listed:
  • Suo, Qi
  • Guo, Jin-Li
  • Sun, Shiwei
  • Liu, Han

Abstract

A new evolutionary model is proposed to describe the characteristics and evolution pattern of supply chain systems using evolving hypergraphs, in which nodes represent enterprise entities while hyperedges represent the relationships among diverse trades. The nodes arrive at the system in accordance with a Poisson process, with the evolving process incorporating the addition of new nodes, linking of old nodes, and rewiring of links. Grounded in the Poisson process theory and continuum theory, the stationary average hyperdegree distribution is shown to follow a shifted power law (SPL), and the theoretical predictions are consistent with the results of numerical simulations. Testing the impact of parameters on the model yields a positive correlation between hyperdegree and degree. The model also uncovers macro characteristics of the relationships among enterprises due to the microscopic interactions among individuals.

Suggested Citation

  • Suo, Qi & Guo, Jin-Li & Sun, Shiwei & Liu, Han, 2018. "Exploring the evolutionary mechanism of complex supply chain systems using evolving hypergraphs," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 489(C), pages 141-148.
  • Handle: RePEc:eee:phsmap:v:489:y:2018:i:c:p:141-148
    DOI: 10.1016/j.physa.2017.08.002
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437117307197
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

    File URL: https://libkey.io/10.1016/j.physa.2017.08.002?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. Ge, Zehui & Zhang, Zi-Ke & Lü, Linyuan & Zhou, Tao & Xi, Ning, 2012. "How altruism works: An evolutionary model of supply networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 647-655.
    2. Kühnert, Christian & Helbing, Dirk & West, Geoffrey B., 2006. "Scaling laws in urban supply networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(1), pages 96-103.
    3. Seidman, Stephen B., 1981. "Structures induced by collections of subsets: a hypergraph approach," Mathematical Social Sciences, Elsevier, vol. 1(4), pages 381-396, August.
    4. Chang, Hui & Su, Bei-Bei & Zhou, Yue-Ping & He, Da-Ren, 2007. "Assortativity and act degree distribution of some collaboration networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 383(2), pages 687-702.
    5. Jian-Wei Wang & Li-Li Rong & Qiu-Hong Deng & Ji-Yong Zhang, 2010. "Evolving hypernetwork model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 77(4), pages 493-498, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yu, Ping & Wang, Zhiping & Wang, Peiwen & Yin, Haofei & Wang, Jia, 2022. "Dynamic evolution of shipping network based on hypergraph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    2. Ping Yu & Zhiping Wang & Yanan Sun & Peiwen Wang, 2022. "Risk Diffusion and Control under Uncertain Information Based on Hypernetwork," Mathematics, MDPI, vol. 10(22), pages 1-17, November.
    3. Wang, Zhiping & Yin, Haofei & Jiang, Xin, 2020. "Exploring the dynamic growth mechanism of social networks using evolutionary hypergraph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    4. Zhang, Dezhi & Zhang, Fangtao & Liang, Yijing, 2021. "An evolutionary model of the international logistics network based on the Belt and Road perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 572(C).
    5. Ping Yu & Peiwen Wang & Zhiping Wang & Jia Wang, 2022. "Supply Chain Risk Diffusion Model Considering Multi-Factor Influences under Hypernetwork Vision," Sustainability, MDPI, vol. 14(14), pages 1-15, July.

    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. Wang, Zhiping & Yin, Haofei & Jiang, Xin, 2020. "Exploring the dynamic growth mechanism of social networks using evolutionary hypergraph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 544(C).
    2. Yu, Ping & Wang, Zhiping & Wang, Peiwen & Yin, Haofei & Wang, Jia, 2022. "Dynamic evolution of shipping network based on hypergraph," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).
    3. Feng Hu & Lin Ma & Xiu-Xiu Zhan & Yinzuo Zhou & Chuang Liu & Haixing Zhao & Zi-Ke Zhang, 2021. "The aging effect in evolving scientific citation networks," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(5), pages 4297-4309, May.
    4. Denise PUMAIN, 2012. "Une Théorie Géographique Pour La Loi De Zipf," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 36, pages 31-54.
    5. Joao Meirelles & Camilo Rodrigues Neto & Fernando Fagundes Ferreira & Fabiano Lemes Ribeiro & Claudia Rebeca Binder, 2018. "Evolution of urban scaling: Evidence from Brazil," PLOS ONE, Public Library of Science, vol. 13(10), pages 1-15, October.
    6. Deqing Ma & Jinsong Hu & Weihao Wang, 2021. "Differential game of product–service supply chain considering consumers’ reference effect and supply chain members’ reciprocity altruism in the online-to-offline mode," Annals of Operations Research, Springer, vol. 304(1), pages 263-297, September.
    7. Xu, Gang & Xu, Zhibang & Gu, Yanyan & Lei, Weiqian & Pan, Yupiao & Liu, Jie & Jiao, Limin, 2020. "Scaling laws in intra-urban systems and over time at the district level in Shanghai, China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    8. Cura, Robin & Cottineau, Clémentine & Swerts, Elfie & Ignazzi, Cosmo Antonio & Bretagnolle, Anne & Vacchiani-Marcuzzo, Celine & Pumain, Denise, 2017. "The Old and the New: Qualifying City Systems in the World with Classical Models and New Data," SocArXiv pbzn6, Center for Open Science.
    9. Dalgaard, Carl-Johan & Strulik, Holger, 2011. "Energy distribution and economic growth," Resource and Energy Economics, Elsevier, vol. 33(4), pages 782-797.
    10. Fábio Duarte & Ricardo Álvarez, 2019. "The data politics of the urban age," Palgrave Communications, Palgrave Macmillan, vol. 5(1), pages 1-7, December.
    11. Huo, Jie & Wang, Xu-Ming & Zhao, Ning & Hao, Rui, 2016. "Statistical characteristics of dynamics for population migration driven by the economic interests," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 451(C), pages 123-134.
    12. Cheng, Lu & Mi, Zhifu & Sudmant, Andrew & Coffman, D'Maris, 2022. "Bigger cities better climate? Results from an analysis of urban areas in China," Energy Economics, Elsevier, vol. 107(C).
    13. Feng, Ai-Xia & Fu, Chun-Hua & Xu, Xiu-Lian & Zhou, Yue-Ping & Chang, Hui & Wang, Jian & He, Da-Ren & Feng, Guo-Lin, 2012. "An extended clique degree distribution and its heterogeneity in cooperation–competition networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2454-2462.
    14. Fei Xu & Honglei Wang, 2018. "Competitive–Cooperative Strategy Based on Altruistic Behavior for Dual-Channel Supply Chains," Sustainability, MDPI, vol. 10(6), pages 1-15, June.
    15. Jung-Hun Yang & Kwang-Woo Nam, 2022. "Modelling the Relationship of Infrastructure and Externalities Using Urban Scaling," Sustainability, MDPI, vol. 14(9), pages 1-17, April.
    16. Wang, Jiang-Pan & Guo, Qiang & Yang, Guang-Yong & Liu, Jian-Guo, 2015. "Improved knowledge diffusion model based on the collaboration hypernetwork," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 250-256.
    17. David Levinson, 2012. "Network Structure and City Size," PLOS ONE, Public Library of Science, vol. 7(1), pages 1-11, January.
    18. Chen, Yanguang, 2017. "Multi-scaling allometric analysis for urban and regional development," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 673-689.
    19. Fabiano L Ribeiro & Joao Meirelles & Vinicius M Netto & Camilo Rodrigues Neto & Andrea Baronchelli, 2020. "On the relation between transversal and longitudinal scaling in cities," PLOS ONE, Public Library of Science, vol. 15(5), pages 1-20, May.
    20. Wang, Xu-Ming & Wang, Peng & Zhang, Ping & Hao, Rui & Huo, Jie, 2012. "Statistical dynamics of early river networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(19), pages 4497-4505.

    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:eee:phsmap:v:489:y:2018:i:c:p:141-148. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.