Advanced Applications of Mathematical Modeling and Optimization in Logistics and Manufacturing

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".

Deadline for manuscript submissions: 28 December 2024 | Viewed by 630

Special Issue Editor


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Guest Editor
Facultad de Ingenieria, Universidad Nacional Autonoma de Mexico, Ciudad de Mexico, Mexico
Interests: large-scale optimization; operations research; digital twins; high-performance computing

Special Issue Information

Dear Colleagues,

Mathematical modeling and optimization are essential tools for logistics and manufacturing in today’s global economy. These techniques can be used to solve a wide range of problems, including routing, scheduling, inventory management, and production planning. By using mathematical modeling and optimization, businesses can become more efficient, reduce costs, and improve customer satisfaction. Mathematical modeling and optimization are powerful tools that can improve the efficiency and effectiveness of logistics and manufacturing operations. In addition, machine learning, artificial intelligence, and digital twins are all playing increasingly important roles in logistics and manufacturing. These technologies are used to automate tasks, improve decision-making, and optimize operations. Digital twins are virtual representations of physical systems. They can simulate real-world processes and predict how such processes will behave in the future. Machine learning, artificial intelligence, and digital twins are all powerful technologies that have the potential to revolutionize logistics and manufacturing.

As the Guest Editor of this Special Issue, I invite practitioners, professionals, and researchers to submit studies of the application of optimization, simulation, and digital twin techniques to improve organizations’ logistics and manufacturing processes.

Prof. Dr. Jose Antonio Marmolejo-Saucedo
Guest Editor

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Keywords

  • mathematical programming
  • deep neural network
  • stochastic optimization
  • combinatorial optimization
  • digital supply chain twins
  • optimization of supply chain
  • heuristics and metaheuristics
  • robust optimization
  • forecasting
  • machine learning
  • optimization applications
  • high-performance computing
  • green supply chain
  • packing problems optimization
  • fuzzy systems
  • discrete event simulation
  • dynamic systems

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Published Papers (1 paper)

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Research

25 pages, 16408 KiB  
Article
The Normalized Direct Trigonometry Model for the Two-Dimensional Irregular Strip Packing Problem
by Germán Pantoja-Benavides, David Álvarez-Martínez and Francisco Parreño Torres
Mathematics 2024, 12(15), 2414; https://doi.org/10.3390/math12152414 - 2 Aug 2024
Viewed by 407
Abstract
Background: The Irregular Strip Packing Problem (ISPP) involves packing a set of irregularly shaped items within a strip while minimizing its length. Methods: This study introduces the Normalized Direct Trigonometry Model (NDTM), an innovative enhancement of the Direct Trigonometry Model (DTM). The NDTM [...] Read more.
Background: The Irregular Strip Packing Problem (ISPP) involves packing a set of irregularly shaped items within a strip while minimizing its length. Methods: This study introduces the Normalized Direct Trigonometry Model (NDTM), an innovative enhancement of the Direct Trigonometry Model (DTM). The NDTM incorporates a distance function that supports the integration of the separation constraint, which mandates a minimum separation distance between items. Additionally, the paper proposes a new set of constraints based on the bounding boxes of the pieces aimed at improving the non-overlapping condition. Results: Comparative computational experiments were performed using a comprehensive set of 90 instances. Results show that the NDTM finds more feasible and optimal solutions than the DTM. While the NDTM allows for the implementation of the separation constraint, the number of feasible and optimal solutions tends to decrease as more separation among the items is considered, despite not increasing the number of variables or constraints. Conclusions: The NDTM outperforms the DTM. Moreover, the results indicate that the new set of non-overlapping constraints facilitates the exploration of feasible solutions at the expense of optimality in some cases. Full article
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