Mathematical Modelling, Simulation, and Optimal Control

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

Deadline for manuscript submissions: closed (30 November 2024) | Viewed by 3135

Special Issue Editor


E-Mail Website
Guest Editor
1. Applied Digital Transformation Laboratory (ADiT-Lab), Polytechnic Institute of Viana do Castelo, Viana do Castelo, Portugal
2. Center for Research & Development in Mathematics and Applications (CIDMA), Department of Mathematics, University of Aveiro, Aveiro, Portugal
Interests: optimal control; nonlinear optimization; mathematical modelling; biomathematics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Mathematical modelling, simulation, and optimal control are three fields that play a crucial role in solving real-world problems. Mathematical modeling uses mathematical equations to elucidate various phenoma. Simulation, on the other hand, creates a virtual model of a real-world system to analyze its behavior under different conditions, which help to make and predict informed decisions. Finally, optimal control is an optimization technique ised to study the best control strategy to optimize the performance of the system. These fields are widely used in various industries, including finance, engineering, and healthcare, among others, to analyze and improve complex systems. The combination of these fields has proven to be an efficient tool for complex problems.

As Guest Editor, I cordially invite you to consider contributing your expertise and submit a manuscript for possible publication in the forthcoming Special Issue "Mathematical Modelling, Simulation, and Optimal Control", which will be published in the Mathematics journal:

Mathematics is an international, peer-reviewed, open access journal of mathematics, mathematical logic, and mathematical physics, published online by MDPI, with several indexations, including Scopus and SCIE (Web of Science).

This Special Issue aims to allow scientists and researchers to present their works that focus on mathematical modelling, simulation, and optimal control fields, using several applications such as management, engineering, and healthcare, among others, to help predict and make informed decisions.

Prof. Dr. Helena Sofia Rodrigues
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • mathematical modelling
  • optimal control
  • computational mathematics
  • simulation
  • differential equations

Benefits of Publishing in a Special Issue

  • Ease of navigation: Grouping papers by topic helps scholars navigate broad scope journals more efficiently.
  • Greater discoverability: Special Issues support the reach and impact of scientific research. Articles in Special Issues are more discoverable and cited more frequently.
  • Expansion of research network: Special Issues facilitate connections among authors, fostering scientific collaborations.
  • External promotion: Articles in Special Issues are often promoted through the journal's social media, increasing their visibility.
  • e-Book format: Special Issues with more than 10 articles can be published as dedicated e-books, ensuring wide and rapid dissemination.

Further information on MDPI's Special Issue policies can be found here.

Published Papers (2 papers)

Order results
Result details
Select all
Export citation of selected articles as:

Research

25 pages, 5397 KiB  
Article
Hybrid Multi-Objective Artificial Bee Colony for Flexible Assembly Job Shop with Learning Effect
by Zhaosheng Du, Junqing Li and Jiake Li
Mathematics 2025, 13(3), 472; https://doi.org/10.3390/math13030472 - 31 Jan 2025
Viewed by 652
Abstract
The flexible job shop scheduling problem is a typical and complex combinatorial optimization problem. In recent years, the assembly problem in job shop scheduling problems has been widely studied. However, most of the studies ignore the learning effect of workers, which may lead [...] Read more.
The flexible job shop scheduling problem is a typical and complex combinatorial optimization problem. In recent years, the assembly problem in job shop scheduling problems has been widely studied. However, most of the studies ignore the learning effect of workers, which may lead to higher costs than necessary. This paper considers a flexible assembly job scheduling problem with learning effect (FAJSPLE) and proposes a hybrid multi-objective artificial bee colony (HMABC) algorithm to solve the problem. Firstly, a mixed integer linear programming model is developed where the maximum completion time (makespan), total energy consumption and total cost are optimized simultaneously. Secondly, a critical path-based mutation strategy was designed to dynamically adjust the level of workers according to the characteristics of the critical path. Finally, the local search capability is enhanced by combining the simulated annealing algorithm (SA), and four search operators with different neighborhood structures are designed. By comparative analysis on different scales instances, the proposed algorithm reduces 55.8 and 958.99 on average over the comparison algorithms for the GD and IGD metrics, respectively; for the C-metric, the proposed algorithm improves 0.036 on average over the comparison algorithms. Full article
(This article belongs to the Special Issue Mathematical Modelling, Simulation, and Optimal Control)
Show Figures

Figure 1

14 pages, 1216 KiB  
Article
One New Property of a Class of Linear Time-Optimal Control Problems
by Borislav Penev
Mathematics 2023, 11(16), 3486; https://doi.org/10.3390/math11163486 - 11 Aug 2023
Cited by 1 | Viewed by 1618
Abstract
The following paper deals with a new property of linear time-optimal control problems with real eigenvalues of the system. This property unveils the possibility of synthesizing the time-optimal control without describing the switching hyper-surfaces. Furthermore, the novel technique offers an alternative solution to [...] Read more.
The following paper deals with a new property of linear time-optimal control problems with real eigenvalues of the system. This property unveils the possibility of synthesizing the time-optimal control without describing the switching hyper-surfaces. Furthermore, the novel technique offers an alternative solution to the classic example of the time-optimal control of a double integrator system. Full article
(This article belongs to the Special Issue Mathematical Modelling, Simulation, and Optimal Control)
Show Figures

Figure 1

Back to TopTop