Mathematical Problems in Engineering

Advances in Numerical Optimisation: Theory, Models, and Applications


Publishing date
01 Feb 2021
Status
Closed
Submission deadline
18 Sep 2020

1Ayandegan Institute of Higher Education, Tonekabon, Iran

2University of Niš, Niš, Serbia

3Zhengzhou University of Aeronautics, Zhengzhou, China

This issue is now closed for submissions.
More articles will be published in the near future.

Advances in Numerical Optimisation: Theory, Models, and Applications

This issue is now closed for submissions.
More articles will be published in the near future.

Description

Optimisation is one of today's most interesting fields of research in all areas of applied mathematics and engineering. In the field of scientific and technical computation, various equations which describe realistic problems like natural phenomena, or engineering problems such as cryptography, natural language processing, MRI reconstruction, wireless sensor networks, intrusion detection systems, financial portfolios, economic modelling, or uncertainty problems, can often be reduced to solving an optimisation problem. However, some of the aforementioned problems, particularly in various challenging real-world scenarios, are very difficult to solve using a mathematical analysis approach and must be solved numerically. In this case, numerical optimisation has become one of the most promising tools for different applications and has rapidly spread into many other disciplines.

Along with the development of basic optimisation algorithms, in the last several decades there is a trend in the scientific community to solve complex and global optimisation problems by using metaheuristic algorithms, such as genetic and swarm-intelligence optimisation algorithms. These algorithms use some randomness and imitate the evolution process in nature to avoid local optima. Traditional numerical algorithms aim to solve static optimisation problems which do not change in time. On the other hand, the dynamical approach in time-varying optimisation has several potential advantages, such as self-adaptation, parallel processing, and convenience for hardware implementation.

This Special Issue aims to portray an overview of recent research trends on this matter, with results opening pathways for future work. This Special Issue encourages original research papers of high quality that focus on new and recent developments in methodologies, techniques, and applications of numerical optimisation for solving various practical problems. In addition to original research, we also welcome review articles.

Potential topics include but are not limited to the following:

  • Approximation and complexity in numerical optimisation
  • Constrained and unconstrained optimisation
  • Numerical PDE-constrained optimisation
  • Linear and nonlinear complementarity problems
  • Fuzzy optimisation
  • Data envelopment analysis
  • Global optimisation
  • Metaheuristic algorithms
  • Time-varying nonlinear optimisation
  • Intelligent decision making
  • Neural networks
  • Deep learning algorithms

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 8490147
  • - Research Article

Two Efficient Algorithms for Orthogonal Nonnegative Matrix Factorization

Jing Wu | Bin Chen | Tao Han
  • Special Issue
  • - Volume 2021
  • - Article ID 7826496
  • - Research Article

Research on Torsional Property of Body-In-White Based on Square Box Model and Multiobjective Genetic Algorithm

Yanmei Meng | Yuan Liang | ... | Johnny Qin
  • Special Issue
  • - Volume 2021
  • - Article ID 8837846
  • - Research Article

A B-Spline Quasi Interpolation Crank–Nicolson Scheme for Solving the Coupled Burgers Equations with the Caputo–Fabrizio Derivative

M. Taghipour | H. Aminikhah
  • Special Issue
  • - Volume 2020
  • - Article ID 8891713
  • - Research Article

Value- and Ambiguity-Based Approach for Solving Intuitionistic Fuzzy Transportation Problem with Total Quantity Discounts and Incremental Quantity Discounts

C. Veeramani | M. Joseph Robinson | S. Vasanthi
  • Special Issue
  • - Volume 2020
  • - Article ID 5136948
  • - Research Article

Effect of the Angle between Hydraulic Fracture and Natural Fracture on Shale Gas Seepage

Xiaoming Wang | Junbin Chen | ... | Diguang Gong
  • Special Issue
  • - Volume 2020
  • - Article ID 8856040
  • - Research Article

A Novel Bio-Inspired Algorithm Applied to Selective Harmonic Elimination in a Three-Phase Eleven-Level Inverter

Adrián F. Peña-Delgado | Hernán Peraza-Vázquez | ... | Juan M. Ramirez-Arredondo
  • Special Issue
  • - Volume 2020
  • - Article ID 8857424
  • - Research Article

Self-Operated Store or Franchised Store? Optimal Decisions for Online-to-Offline Supply Chain with a Demand Shift

Feng Wei | Yan Zhu
  • Special Issue
  • - Volume 2020
  • - Article ID 8895856
  • - Research Article

A New Algorithm for Solving Large-Scale Generalized Eigenvalue Problem Based on Projection Methods

F. Abbasi Nedamani | A. H. Refahi Sheikhani | H. Saberi Najafi
  • Special Issue
  • - Volume 2020
  • - Article ID 4065809
  • - Research Article

Inconsistent LR Fuzzy Matrix Equation

Xiaobin Guo | Lijuan Wu
  • Special Issue
  • - Volume 2020
  • - Article ID 3416907
  • - Research Article

Adaptive Image Restoration via a Relaxed Regularization of Mean Curvature

Mingxi Ma | Jun Zhang | ... | Yuanyun Wang
Mathematical Problems in Engineering
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Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
CiteScore1.800
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Impact Factor1.305
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.