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Symmetry
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Symmetry in Process Optimization
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Symmetry in Process Optimization

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Computer".

Deadline for manuscript submissions: 31 May 2025 | Viewed by 3034

Special Issue Editors

Dr. Aleksandar Djordjevic

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Guest Editor
Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, 34000, Serbia
Interests: genetic algorithms; optimization; process management; databases; machine learning
Prof. Dr. Miladin Stefanović

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Guest Editor
Faculty of Engineering, University of Kragujevac, Sestre Janjic 6, Kragujevac, 34000, Serbia
Interests: quality; information systems
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The Special Issue, “Symmetry in Process Optimization”, aims to explore the pervasive role of symmetry principles in advancing optimization techniques across diverse scientific domains. With a focus on the integration of machine learning and optimization methodologies, this Special Issue seeks to elucidate how symmetry considerations can enhance algorithmic efficiency, model robustness, and solution quality in various application areas. By fostering interdisciplinary dialogue, this collection will illuminate novel approaches for tackling complex optimization problems in fields such as engineering, physics, chemistry, biology, and beyond. Through theoretical analyses, algorithm development, and real-world case studies, this issue aims to showcase the transformative potential of symmetry-aware optimization techniques in addressing contemporary scientific challenges.

Dr. Aleksandar Djordjevic
Prof. Dr. Miladin Stefanović
Guest Editors

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. Symmetry is an international peer-reviewed open access monthly 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 2400 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

  • symmetry
  • process optimization
  • machine learning
  • optimization methods
  • interdisciplinary
  • algorithm efficiency
  • model robustness
  • solution quality
  • engineering
  • physics
  • chemistry
  • medecine

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Published Papers (3 papers)

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Research

22 pages, 3117 KiB  
Article
Symmetry-Optimized Dynamical Analysis of Optical Soliton Patterns in the Flexibly Supported Euler–Bernoulli Beam Equation: A Semi-Analytical Solution Approach
by Muhammad Umer and Paweł Olejnik
Symmetry 2024, 16(7), 849; https://doi.org/10.3390/sym16070849 - 5 Jul 2024
Cited by 1 | Viewed by 856
Abstract
This study employs spatial optimization principles to investigate the nonlinear vibration of a flexibly supported Euler–Bernoulli beam, a (1 + 1)-dimensional system subjected to axial loads. The modified Khater method, a crucial tool in mechanical engineering, is utilized to analyze analytical solutions, which [...] Read more.
This study employs spatial optimization principles to investigate the nonlinear vibration of a flexibly supported Euler–Bernoulli beam, a (1 + 1)-dimensional system subjected to axial loads. The modified Khater method, a crucial tool in mechanical engineering, is utilized to analyze analytical solutions, which include a symmetric spatial representation of the waveform as an integral part of each solution. Notably, periodic soliton solutions for the nonlinear model closely align with numerical and approximate analytical solutions, demonstrating the accuracy of our modeling approach. Density diagrams, contour diagrams, and Poincaré maps depicting the obtained analytical solutions are presented to elucidate their accuracy and provide visual confirmation of the optimized engineering model’s physical significance. The planar dynamical system is derived through the Galilean transformation by employing mathematical models and appropriate parameter values, thereby further refining problem understanding. Sensitivity analysis is conducted, and phase portraits with equilibrium points are illustrated by analyzing a special case of the investigated dynamical system, emphasizing its symmetrical properties. Lastly, we perform a global analysis to identify periodic, quasi-periodic, and chaotic behaviors, with an extra weak forcing term confirmed by Poincaré maps and a two-dimensional symmetric basin of the largest Lyapunov exponent. Full article
(This article belongs to the Special Issue Symmetry in Process Optimization)
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15 pages, 850 KiB  
Article
A Symmetric Multiprocessor System-on-a-Chip-Based Solution for Real-Time Image Dehazing
by Dat Ngo and Bongsoon Kang
Symmetry 2024, 16(6), 653; https://doi.org/10.3390/sym16060653 - 25 May 2024
Viewed by 789
Abstract
The acquisition of digital images is susceptible to haze, and images captured under such adverse conditions may impact high-level applications designed for clean input data. Image dehazing emerges as a practical solution to this problem, as it can be employed to pre-process images [...] Read more.
The acquisition of digital images is susceptible to haze, and images captured under such adverse conditions may impact high-level applications designed for clean input data. Image dehazing emerges as a practical solution to this problem, as it can be employed to pre-process images immediately after acquisition. This paper presents a concise review of impactful algorithms, including those based on deep learning models, to identify the existing gap in real-time processing capabilities. Subsequently, a real-time dehazing system on a multiprocessor system-on-a-chip (MPSoC) platform is introduced to bridge this gap. The proposed system balances the trade-off between dehazing performance and computational complexity; hence, the name “Symmetric” is coined. Additionally, the entire system is implemented in programmable logic and wrapped by an interface circuit supporting double-buffering, rendering it highly suitable for seamless integration into existing camera systems. Implementation results on a Zynq UltraScale+ MPSoC ZCU106 Evaluation Kit demonstrate a maximum operating frequency of 356.51 MHz, equivalent to a maximum processing speed of 40.27 frames per second for DCI 4K resolution. Full article
(This article belongs to the Special Issue Symmetry in Process Optimization)
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22 pages, 674 KiB  
Article
On Maximum Guaranteed Payoff in a Fuzzy Matrix Decision-Making Problem with a Fuzzy Set of States
by Svajone Bekesiene and Serhii Mashchenko
Symmetry 2024, 16(5), 510; https://doi.org/10.3390/sym16050510 - 23 Apr 2024
Viewed by 725
Abstract
The current study delves into a fuzzy matrix decision-making problem involving fuzzy sets of states. It establishes that a maximum guaranteed payoff constitutes a type-2 fuzzy set defined on the real line. Additionally, it provides the associated type-2 membership function. Moreover, the paper [...] Read more.
The current study delves into a fuzzy matrix decision-making problem involving fuzzy sets of states. It establishes that a maximum guaranteed payoff constitutes a type-2 fuzzy set defined on the real line. Additionally, it provides the associated type-2 membership function. Moreover, the paper illustrates that the maximum guaranteed payoff type-2 fuzzy set of the decision-making problem can be broken down, based on the secondary membership grades, into a finite collection of fuzzy numbers. Each of these fuzzy numbers represents the maximum guaranteed payoff of the corresponding decision-making problem with a crisp set of states. This set corresponds to a specific cut of the original fuzzy set of states. Some properties of the maximum guaranteed payoff type-2 fuzzy set are investigated, and illustrative examples are provided. Since the problem formulation is symmetrical with respect to alternatives and states of nature, the results obtained can be used in the case of a fuzzy set of alternatives. Full article
(This article belongs to the Special Issue Symmetry in Process Optimization)
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