Mathematical Modeling for Digital and Intelligent Supply Chains

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "D2: Operations Research and Fuzzy Decision Making".

Deadline for manuscript submissions: 31 January 2027 | Viewed by 666

Editors


E-Mail Website
Guest Editor
College of Economics, Shenzhen University, Shenzhen, China
Interests: ESG in supply chain; supply chain finance; energy and environment management
Department of Industrial and Systems Engineering, Hong Kong Polytechnic University, Hong Kong, China
Interests: industrial cyber-physical systems; spatial-temporal awareness and analytics; anomaly detection; industrial artificial intelligence; smart factory

E-Mail Website
Guest Editor Assistant
College of Economics, Shenzhen University, Shenzhen, China
Interests: supply chain configuration; disruptions and resilience; ESG in supply chain; data-driven and LLM

Special Issue Information

Dear Colleagues,

Modern supply chain management (SCM) is undergoing a profound transformation, driven by increasing demands for resilience, sustainability, adaptability, and digital intelligence. Against this backdrop, this Special Issue, entitled “Mathematical Modeling for Digital and Intelligent Supply Chains,” aims to provide a high-level forum for the dissemination of original research on advanced mathematical frameworks, analytical models, and computational methodologies for contemporary supply chain systems.

This Special Issue focuses on the role of mathematical modeling as a rigorous and unifying language for understanding, designing, and improving supply chain systems in the era of digitalization and industrial transformation. We particularly welcome studies that incorporate emerging technological elements—such as data-driven analytics, artificial intelligence (including generative AI and traditional machine learning), blockchain, digital twins, and the Physical Internet—into supply chain planning, coordination, optimization, and control. Contributions may address a broad range of supply chain system problems, including but not limited to network design, sourcing, production and inventory planning, logistics coordination, risk management, sustainability governance, and system reconfiguration under uncertainty.

In addition to methodological novelty, this Special Issue seeks to highlight the intersection between classical operations research and the new frontier of intelligent industrial technologies. We are especially interested in research that combines first-principles mathematical modeling with modern data-centric and AI-enabled approaches to support decision-making in increasingly complex and interconnected supply chain environments. Such research may move beyond traditional efficiency-oriented objectives to explicitly incorporate resilience, environmental and social considerations, and human-centered operational design as endogenous elements of supply chain systems.

We invite original contributions that bridge rigorous mathematical theory and practical challenges in real-world SCM. Potential topics include, but are not limited to:

  • Mathematical Modeling of Supply Chain Systems: analytical, stochastic, dynamic, and optimization-based models; game theory and mechanism design for strategic interactions; simulation and data-driven approaches for complex supply chain decision-making.
  • Data-Driven Supply Chain Optimization: integration of machine learning, predictive analytics, and data-enabled decision models in supply chain operations.
  • Artificial Intelligence in SCM: generative AI (e.g., large language models and diffusion models) and deep learning-enabled methods for forecasting, planning, coordination, negotiation, and decision support.
  • Resilient and Adaptive Supply Chains: models for disruption management, risk mitigation, recovery planning, and reconfiguration under uncertainty.
  • Sustainable and ESG-Aware Supply Chains: endogenous modeling of environmental, social, and governance criteria in supply chain objectives and constraints.
  • Blockchain and Smart Contract Applications: mathematical and computational models for transparency, traceability, trust, and decentralized coordination.
  • Physical Internet and Hyperconnected Logistics: modeling open logistics systems, resource sharing, modular flows, and interoperable transportation networks.
  • Digital Twins and Intelligent Supply Chain Systems: model-based integration of real-time data, simulation, and decision intelligence.
  • Industry 5.0 and Human-Centric Operations: human–machine collaboration, socio-technical system design, and resilient operational ecosystems.
  • Advanced Algorithms and Computational Methods: exact, heuristic, metaheuristic, and decomposition approaches for solving large-scale and NP-hard supply chain problems.

Dr. Yelin Fu
Dr. Wei Wu
Guest Editors

Dr. Yiji Cai
Guest Editor Assistant

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Keywords

  • supply chain management
  • mathematical modeling
  • supply chain configuration
  • ESG
  • machine learning
  • generative artificial intelligence
  • blockchain
  • physical internet
  • Industry 5.0
  • operations research
  • optimization algorithms
  • supply chain and logistics finance
  • game theory

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Published Papers (2 papers)

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Research

24 pages, 754 KB  
Article
Fairness Concern, ESG Effort, and Cost-Sharing Contracts: Implications for Semiconductor Supply Chain Stability Under Market Uncertainty
by Hai Shen, Yu Li, Jianbo Zhao, Anqi Fan and Xiaogang Zhao
Mathematics 2026, 14(12), 2194; https://doi.org/10.3390/math14122194 - 18 Jun 2026
Viewed by 40
Abstract
As a cornerstone of global technological advancement, the semiconductor industry depends critically on supply chain stability, which directly influences the global economy and technological innovation. To address uncertainty in semiconductor supply chains, this study develops a Stackelberg game model incorporating Nash bargaining fairness [...] Read more.
As a cornerstone of global technological advancement, the semiconductor industry depends critically on supply chain stability, which directly influences the global economy and technological innovation. To address uncertainty in semiconductor supply chains, this study develops a Stackelberg game model incorporating Nash bargaining fairness concern to examine pricing strategies, ESG effort decisions, and their implications for supply chain stability under different fairness concern scenarios. A cost-sharing contract-based coordination mechanism is proposed, and numerical simulations verify the effects of fairness concern and ESG effort on stability, as well as the coordinating role of the cost-sharing contract under market uncertainty. The results show the following: (1) Manufacturer fairness concern boosts its profit and ESG effort, but excessive price hikes erode retailer profit and undermine stability. (2) Retailer fairness concern prompts the manufacturer to rebalance profit allocation via lower wholesale prices and reduced ESG effort, weakening supply chain competitiveness. (3) Cost-sharing contracts effectively mitigate the adverse effects of fairness concern and enhance semiconductor supply chain stability. This study provides a verifiable framework for semiconductor firms to improve cooperative stability and sustainable development. Full article
(This article belongs to the Special Issue Mathematical Modeling for Digital and Intelligent Supply Chains)
19 pages, 3716 KB  
Article
Dynamic Bayesian Modeling of Carbon-Adjusted Costs and Supply Chain Risks for Sustainable Investment in Power Grid Technical Renovation Projects
by Miaohuan Song, Maoning Li, Xiaomei Zhang, Bowen Liu and Fan Liu
Mathematics 2026, 14(11), 1921; https://doi.org/10.3390/math14111921 - 1 Jun 2026
Viewed by 205
Abstract
Power grid technical renovation projects are implemented through project-based supply chains involving equipment procurement, logistics coordination and on-site construction under market, delivery and carbon constraints. Their final cost is jointly affected by engineering quantities, supplier behavior, lead-time uncertainty, material price volatility and sustainability [...] Read more.
Power grid technical renovation projects are implemented through project-based supply chains involving equipment procurement, logistics coordination and on-site construction under market, delivery and carbon constraints. Their final cost is jointly affected by engineering quantities, supplier behavior, lead-time uncertainty, material price volatility and sustainability requirements. Existing studies usually emphasize technical parameters and direct expenditure, whereas supplier reliability, green procurement, carbon intensity and procurement contingency effects are only indirectly incorporated. This study develops a dynamic Bayesian model for carbon-adjusted cost forecasting and investment priority support in power grid technical renovation projects. Based on 800 anonymized project-level records, a random forest is first used to identify informative engineering, supply chain and sustainability variables. These variables are then organized in a Bayesian network that links observed evidence, intermediate cost nodes and the carbon-adjusted cost target. A dynamic evidence-weighting mechanism updates posterior cost beliefs as supplier, logistics, market and carbon information become available during implementation. Compared with static Bayesian inference, XGBoost, an improved BPNN and GRA-based benchmarks, the proposed model yields lower MAE and RMSE. Ablation and scenario analyses further show that supply chain and sustainability variables improve both predictive performance and decision interpretability. The results provide a quantitative basis for budget control, green procurement adjustment, contingency allocation and sustainable asset renewal prioritization in energy enterprises. Full article
(This article belongs to the Special Issue Mathematical Modeling for Digital and Intelligent Supply Chains)
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