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Chin. Phys. B, 2026, Vol. 35(7): 078902    DOI: 10.1088/1674-1056/ae6432
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev  

Robustness analysis of binary-coupled logistics-supply chain interdependent networks under load redistribution

Hai-Bo Yu(于海波)1, Yan-Li Gao(高彦丽)2, Guang-Ming Chen(陈光明)2, Qiu-Yu Tang(唐秋宇)1, Chao Feng(凤超)1, and Lei Zhang(张雷)3,†
1 School of Economics and Management, Xinjiang Institute of Technology, Aksu 843100, China;
2 School of Electrical and Automation Engineering, East China JiaoTong University, Nanchang 330013, China;
3 School of Management, Zhejiang University of Finance & Economics, Hangzhou 310018, China
Abstract  To capture the interdependencies between logistics and supply chain networks in real-world systems, this paper develops a load redistribution-based logistics—supply chain binary-coupled network (LSBCN) model. Employing a dynamic load redistribution strategy, we systematically investigate the robustness of the LSBCN under cascading failures. We evaluate network performance under both random and deliberate failures, thoroughly analyze the mechanisms of influence of capacity factor ($\beta$) and capacity index ($\gamma$) on network robustness, and design three optimization strategies: parameter optimization, critical edge protection, and redundant edge addition. Furthermore, we quantitatively examine the synergistic effects and cost-effectiveness among these strategies. The results reveal that capacity factors exert significant regulatory effects on network robustness; however, the marginal improvement diminishes beyond a critical threshold. Distinct optimal capacity parameter configurations correspond to different failure proportions. Protecting critical edges of the logistics network demonstrates superior robustness enhancement under random failures, whereas adding redundant edges proves more effective under deliberate failures. The synergistic effects between strategies exhibit strong dependence on both failure modes and proportions. Under random failures, critical edge protection should be prioritized, while under deliberate failures, redundant edge addition is preferable. These findings provide theoretical foundations and decision-making references for vulnerability assessment, collaborative optimization, and risk management in logistics—supply chain systems.
Keywords:  binary-coupled      logistics—supply chain networks      load redistribution      cascading failure      robustness analysis  
Received:  30 January 2026      Revised:  17 April 2026      Accepted manuscript online:  24 April 2026
PACS:  89.75.-k (Complex systems)  
  89.75.Fb (Structures and organization in complex systems)  
  64.60.ah (Percolation)  
Fund: Lei Zhang acknowledges the support of the National Social Science Fundation of China (Grant No. 23BJY006). Yan-Li Gao acknowledges the support of the National Natural Science Foundation of China (Grant No. 62341306) and Project in JiangXi Province Department of Science and Technology (Grant No. 20232BAB202033). Qiu-Yu Tang acknowledges the support of the Youth Fund Project of Xinjiang under the Ministry of Education Humanities and Social Sciences Research Project (Grant No. 24XJJC630001) and the General Project of the China Society of Logistics (Grant No. 2026CSLKT3-267). Hai-Bo Yu acknowledges the support of the Social Science Research Project of Xinjiang Institute of Technology (Grant No. SY202506).
Corresponding Authors:  Lei Zhang     E-mail:  leinuo_zhang@zufe.edu.cn

Cite this article: 

Hai-Bo Yu(于海波), Yan-Li Gao(高彦丽), Guang-Ming Chen(陈光明), Qiu-Yu Tang(唐秋宇), Chao Feng(凤超), and Lei Zhang(张雷) Robustness analysis of binary-coupled logistics-supply chain interdependent networks under load redistribution 2026 Chin. Phys. B 35 078902

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