Interdisciplinary Modeling and Analysis of Complex Systems

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D: Statistics and Operational Research".

Deadline for manuscript submissions: 20 April 2026 | Viewed by 283

Special Issue Editors


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Guest Editor
Guangzhou Institute of Technology, Guangzhou 510555, China
Interests: complex systems; optimization; machine learning; multi-agent systems

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Guest Editor Assistant
School of Artificial Intelligence, Xidian University, Xi’an 710126, China
Interests: signal processing; machine learning
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Special Issue Information

Dear Colleagues,

Complex systems—characterized by emergent behavior, nonlinear dynamics, and intricate interdependencies—underpin critical challenges across global health, climate resilience, socio-technical networks, financial ecosystems, and biological processes. Understanding their structure, evolution, and resilience is essential for scientific advancement and sustainable societal solutions.

Traditional single-discipline approaches often fail to capture the multi-scale, adaptive nature of complex systems. The system modeling and system simulation of these systems demand the integration of theories and tools from mathematics, computer science, physics, engineering, economics, and social sciences. Novel synergies—such as merging complex networks theory with game theory or embedding AI agents within multi-agent systems frameworks—are vital for decoding emergent patterns and predicting systemic behaviors.

This Special Issue of Mathematics aims to bridge disciplinary silos by curating cutting-edge research at the intersection of computational mathematics and domain-specific complexity. We seek to establish a platform where methodological innovation meets real-world application, advancing rigorous, transferable frameworks for complex system analysis that transcend conventional boundaries.

We invite original research and reviews focusing on interdisciplinary methodologies for complex systems. Contributions may address (but are not limited to) the following areas:

  • Cross-domain applications of complex networks, dynamical systems, or stochastic processes;
  • Multi-agent systems enriched by cognitive science, behavioral economics, or AI agents;
  • Hybrid system modeling (e.g., agent-based + network-based + data-driven);
  • Co-design of models with domain experts (e.g., ecologists, epidemiologists, urban planners);
  • Scalable system simulation for high-dimensional, adaptive systems;
  • Uncertainty quantification, sensitivity analysis, and validation of cross-disciplinary models.

Prof. Dr. Qing Cai
Guest Editor

Dr. Xu Zhang
Guest Editor Assistant

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Keywords

  • system modeling
  • system simulation
  • complex networks
  • complex systems
  • multi-agent systems
  • AI agents

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Published Papers (1 paper)

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Research

28 pages, 6268 KB  
Article
Robustness Evaluation and Enhancement Strategy of Cloud Manufacturing Service System Based on Hybrid Modeling
by Xin Zheng, Beiyu Yi and Hui Min
Mathematics 2025, 13(18), 2905; https://doi.org/10.3390/math13182905 - 9 Sep 2025
Abstract
In dynamic and open cloud service processes, particularly in distributed networked manufacturing environments, the complex and volatile manufacturing landscape introduces numerous uncertainties and disturbances. This paper addresses the common issue of cloud resource connection interruptions by proposing a path substitution strategy based on [...] Read more.
In dynamic and open cloud service processes, particularly in distributed networked manufacturing environments, the complex and volatile manufacturing landscape introduces numerous uncertainties and disturbances. This paper addresses the common issue of cloud resource connection interruptions by proposing a path substitution strategy based on alternative service routes. By integrating agent-based simulation and complex network methodologies, a simulation model for evaluating the robustness of cloud manufacturing service systems is developed, enabling dynamic simulation and quantitative decision-making for the proposed robustness enhancement strategies. First, a hybrid modeling approach for cloud manufacturing service systems is proposed to meet the needs of robustness analysis. The specific construction of the hybrid simulation model is achieved using the AnyLogic 8.7.4 simulation software and Java-based secondary development techniques. Second, a complex network model focusing on cloud manufacturing resource entities is further constructed based on the simulation model. By combining the two models, two-dimensional robustness evaluation indicators—comprising performance robustness and structural robustness—are established. Then, four types of edge attack strategies are designed based on the initial topology and recomputed topology. To ensure system operability after edge failures, a path substitution strategy is proposed by introducing redundant routes. Finally, a case study of a cloud manufacturing project is conducted. The results show the following: (1) The proposed robustness evaluation model fully captures complex disturbance scenarios in cloud manufacturing, and the designed simulation experiments support the evaluation and comparative analysis of robustness improvement strategies from both performance and structural robustness dimensions. (2) The path substitution strategy significantly enhances the robustness of cloud manufacturing services, though its effects on performance and structural robustness vary across different disturbance scenarios. Full article
(This article belongs to the Special Issue Interdisciplinary Modeling and Analysis of Complex Systems)
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