Mathematical Problems in Engineering

Recent Advances in Optimisation Theory, Methods, and Applications in Science and Engineering


Publishing date
01 Mar 2021
Status
Closed
Submission deadline
13 Nov 2020

Lead Editor

1Shanghai University of Engineering Science, Shanghai, China

2Loyola University Maryland, Baltimore, USA

3Georgia Southern University, Statesboro, USA

4Nord University, Nesna, Norway

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

Recent Advances in Optimisation Theory, Methods, and Applications in Science and Engineering

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

Description

Modern optimisation theory and associated methods have seen significant and rapid progress in recent decades. These advances have had an important impact on the development of many areas of science, engineering, and technology, as well as business and finance. One of the areas of optimisation that has had the strongest development both in theory and methods is the area of convex conic optimisation. There are three major factors that have contributed to such development. The first is the fact that convex conic optimisation is a unifying frame that contains important optimisation problems, such as linear optimisation, second-order cone optimisation, and semidefinite optimisation as special cases. In addition, convex conic optimisation has combined Euclidean Jordan algebras and related symmetric cones with optimisation theory leading to strong and significant research results, and a still very active research area. The second factor is the fact that interior-point methods, which have in many ways revolutionized the theory and methods of mathematical programming, have shown to be efficient algorithms in solving conic optimisation problems, both theoretically and practically. The third factor is the numerous applications in various fields, such as statistics, optimal experiment design, information and communication theory, electrical engineering, portfolio optimisation, and combinatorial optimisation, that can be formulated as conic optimisation problems and solved efficiently using appropriate interior-point methods.

The need to solve challenging large-scale optimisation problems arising in various areas of science, engineering, and technology has led to breakthrough advancements in numerical optimisation, including first-order methods and augmented Lagrangian methods. These and other optimisation methods have contributed to rapid development in many fields, including operations research, data science, data analytics, machine learning, and artificial intelligence, among many others. Significant progress has also been made in solving difficult and previously non-tractable problems such as non-convex and/or non-symmetric optimisation, nonlinear conic optimisation, sparse optimisation, and stochastic optimisation problems with applications in science and engineering. However, many challenges and open questions still remain as the size of problems and the need to solve them efficiently is increasing.

The aim of this Special Issue is to provide a comprehensive collection of cutting-edge research contributions on optimisation theory, methods, and applications in science and engineering. We welcome both original research and review articles.

Potential topics include but are not limited to the following:

  • Optimisation Theory
  • Linear and Nonlinear Optimisation
  • Interior-Point Methods and Related Topics
  • First-Order Methods and Related Topics
  • Sparse Optimisation
  • Robust Optimisation
  • Stochastic Optimisation
  • Conic Optimisation
  • Complementarity Problems and Variational Inequalities
  • Discrete and Combinatorial Optimisation
  • Applications of optimisation theory and methods

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 9234084
  • - Research Article

Application of High-Dimensional Outlier Mining Based on the Maximum Frequent Pattern Factor in Intrusion Detection

Limin Shen | Zhongkui Sun | ... | Jiayin Feng
  • Special Issue
  • - Volume 2021
  • - Article ID 6697942
  • - Research Article

Nonlinear Contour Tracking of a Voice Coil Motors-Driven Dual-Axis Positioning Stage Using Fuzzy Fractional PID Control with Variable Orders

Syuan-Yi Chen | Meng-Chen Yang
  • Special Issue
  • - Volume 2021
  • - Article ID 8863000
  • - Research Article

Optimization of Transmitter-Receiver Pairing of Spaceborne Cluster Flight Netted Radar for Area Coverage and Target Detection

Tingting Yan | Shengbo Hu | ... | Mingfei Xia
  • Special Issue
  • - Volume 2021
  • - Article ID 8877037
  • - Research Article

An Efficient Polynomial Time Algorithm for a Class of Generalized Linear Multiplicative Programs with Positive Exponents

Bo Zhang | YueLin Gao | ... | XiaoLi Huang
  • Special Issue
  • - Volume 2021
  • - Article ID 6692294
  • - Research Article

The Magnetic Bead Computing Model of the 0-1 Integer Programming Problem Based on DNA Cycle Hybridization

Rujie Xu | Zhixiang Yin | ... | Xiyuan Wang
  • Special Issue
  • - Volume 2021
  • - Article ID 6643349
  • - Research Article

Extinction Moment for a Branching Tree Evolution with Birth Rate and Death Rate Both Depending on Age

Xi Hu | Yun-Zhi Yan | ... | Hong-Yan Zhao
  • Special Issue
  • - Volume 2021
  • - Article ID 8857417
  • - Research Article

An Ensemble of Adaptive Surrogate Models Based on Local Error Expectations

Huanwei Xu | Xin Zhang | ... | Ge Xiang
  • Special Issue
  • - Volume 2021
  • - Article ID 6674520
  • - Research Article

Jacobian Consistency of a Smoothing Function for the Weighted Second-Order Cone Complementarity Problem

Wenli Liu | Xiaoni Chi | ... | Ranran Cui
  • Special Issue
  • - Volume 2020
  • - Article ID 6614177
  • - Research Article

A Class of Optimal Liquidation Problem with a Nonlinear Temporary Market Impact

Jiangming Ma | Di Gao
  • Special Issue
  • - Volume 2020
  • - Article ID 6642725
  • - Research Article

A Double Nonmonotone Quasi-Newton Method for Nonlinear Complementarity Problem Based on Piecewise NCP Functions

Zhensheng Yu | Zilun Wang | Ke Su
Mathematical Problems in Engineering
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.