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

Qi Suo, Jin-Li Guo, Shiwei Sun and Han Liu

Physica A: Statistical Mechanics and its Applications, 2018, vol. 489, issue C, 141-148

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.

Keywords: Supply chain systems; Complex network; Evolving hypergraph (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:489:y:2018:i:c:p:141-148

DOI: 10.1016/j.physa.2017.08.002

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