Artificial Intelligence and Optimization in Engineering Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E1: Mathematics and Computer Science".

Deadline for manuscript submissions: 30 April 2025 | Viewed by 972

Special Issue Editors

College of Systems Engineering, National University of Defense Technology, Changsha 410073, China
Interests: time/sequence-dependent scheduling; meta-heuristics; evolutionary computation

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Guest Editor
College of Systems Engineering, National University of Defense Technology, Changsha 410073, China
Interests: design of experiments; optimization modeling; artificial intelligence and metaheuristics; satellite scheduling

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Guest Editor
Key Laboratory of Collaborative Intelligence Systems, Xidian University, Xi’an 710071, China
Interests: intelligent optimization; resource scheduling; task planning
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Guest Editor
School of Automation, Central South University, Changsha 410083, China
Interests: planning and scheduling; swarm intelligence; evolutionary computation; intelligent transportation
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Special Issue Information

Dear Colleagues,

 Artificial intelligence (AI) is revolutionizing the engineering landscape, transforming traditional processes and operations into intelligent, automated systems. AI's ability to process vast amounts of data, learn from patterns, and make informed decisions in real-time is enhancing efficiency, productivity, and innovation in various engineering sectors. To further explore and showcase these advancements, this Special Issue aims to gather cutting-edge research papers that delve into the integration of AI and optimization techniques in diverse engineering settings, including but not limited to the following:

  • Manufacturing: Utilizing AI and optimization algorithms for smart factories, production planning, and supply chain management.
  • Energy: Applying AI-driven optimization techniques for energy production, grid optimization, and demand-side management.
  • Transportation: Developing AI-powered optimization models for traffic management, routing, and scheduling in logistics and transportation networks.
  • Space Research: Exploring AI techniques for data analysis, spacecraft control, satellite scheduling and autonomous mission planning.
  • Supply Chain Management: Employing AI and optimization to improve the efficiency and resilience of supply chain networks.
  • Resource Allocation: Utilizing AI to optimize the allocation of limited resources in industries such as healthcare, mining, and agriculture.

We invite researchers, academics, and industry experts to submit original, unpublished research papers that present novel AI and optimization techniques, such as meta/hyper-heuristics and machine learning methods, in these engineering applications. Contributions should demonstrate the significance of AI and optimization in enhancing engineering processes, reducing costs, and improving overall performance.

Dr. Lei He
Dr. Xiaolu Liu
Prof. Dr. Lining Xing
Prof. Dr. Guohua Wu
Guest Editors

Manuscript Submission Information

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Keywords

  • artificial intelligence
  • engineering applications
  • optimization techniques
  • manufacturing
  • energy management
  • transportation
  • supply chain management
  • space research
  • real-time decision making
  • data processing
  • automated systems

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Published Papers (1 paper)

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Research

18 pages, 2379 KiB  
Article
Using Machine Learning for the Precise Experimental Modeling of Catastrophe Phenomena: Taking the Establishment of an Experimental Mathematical Model of a Cusp-Type Catastrophe for the Zeeman Catastrophe Machine as an Example
by Shaonan Zhang and Liangshan Xiong
Mathematics 2025, 13(4), 603; https://doi.org/10.3390/math13040603 - 12 Feb 2025
Viewed by 412
Abstract
When catastrophe theory is applied to the experimental modeling of catastrophe phenomena, it is impossible to know in advance the corresponding relationship and mapping form between the parameters of the actual catastrophe mathematical model and the parameters of the canonical catastrophe mathematical model. [...] Read more.
When catastrophe theory is applied to the experimental modeling of catastrophe phenomena, it is impossible to know in advance the corresponding relationship and mapping form between the parameters of the actual catastrophe mathematical model and the parameters of the canonical catastrophe mathematical model. This gives rise to the problem in which the process of experimental modeling cannot be completed in many instances. To solve this problem, an experimental modeling method of catastrophe theory is proposed. It establishes the quantitative relationship between the actual catastrophe mathematical model and the canonical catastrophe mathematical model by assuming that the actual potential function is equal to the canonical potential function, and it uses a machine learning model to represent the diffeomorphism that can realize the error-free transformation of the two models. The method is applied to establish the experimental mathematical model of a cusp-type catastrophe for the Zeeman catastrophe machine. Through programming calculation, it is found that the prediction errors of the potential function, manifold, and bifurcation set of the established model are 0.0455%, 0.0465%, and 0.1252%, respectively. This indicates that the established model can quantitatively predict the catastrophe phenomenon. Full article
(This article belongs to the Special Issue Artificial Intelligence and Optimization in Engineering Applications)
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