Mathematical Problems in Engineering

Optimization Algorithms Combining (Meta)heuristics and Mathematical Programming and Its Application in Engineering


Status
Published

1Pontificia Universidad Católica de Valparaíso, Valparaíso, Chile

2Nanyang Technological University, Nanyang, Singapore

3CONICET, Buenos Aires, Argentina


Optimization Algorithms Combining (Meta)heuristics and Mathematical Programming and Its Application in Engineering

Description

Complex optimization problems can be tackled by means of mathematical programming methods as well as by means of (meta)heuristic methods. On the one hand, mathematical programming methods give us guarantee of optimality, while (meta)heuristic methods do not. On the other hand, heuristic methods can handle large and complex optimization problems, while mathematical programming methods tend to fail as the size of the optimization problem in hand increases. Thus, it makes sense to combine these two strategies to obtain better solutions to the problem that is being addressed. During the last two decades or so, algorithms that either include mathematical programming solvers into (meta)heuristic frameworks or include (meta)heuristic concepts within mathematical programming methods have demonstrated to be very effective in solving large complex optimization problems. These hybrid algorithms are also called matheuristics.

The aim of this special issue is to publish high-quality papers that combine (meta)heuristic methods and mathematical programming to solve complex optimization problems. Reviews on this topic are also welcome.

Potential topics include but are not limited to the following:

  • Theoretical issues on matheuristic methods
  • Novel algorithms combining mathematical programming and (meta)heuristics methods
  • Mixed integer programming and (meta)heuristic methods
  • Guided search and mathematical programming
  • Mathematical programming solvers embedded into (meta)heuristic frameworks
  • Hybrid algorithms for big data
  • Hybrid algorithms for deep learning
  • Hybrid algorithms applied to real problems from industry

Articles

  • Special Issue
  • - Volume 2018
  • - Article ID 7484256
  • - Research Article

An Objective Penalty Function-Based Method for Inequality Constrained Minimization Problem

Shujun Lian | Sitong Meng | Yiju Wang
  • Special Issue
  • - Volume 2018
  • - Article ID 9497618
  • - Research Article

Filled Function Method for Nonlinear Model Predictive Control

Hajer Degachi | Bechir Naffeti | ... | Moufida Ksouri
  • Special Issue
  • - Volume 2018
  • - Article ID 7873984
  • - Research Article

Multiobjective Optimization for a Wireless Ad Hoc Sensor Distribution on Shaped-Bounded Areas

Armando Céspedes-Mota | Gerardo Castañón | ... | Leopoldo Eduardo Cárdenas-Barrón
  • Special Issue
  • - Volume 2018
  • - Article ID 8750740
  • - Research Article

A Hybrid Epigraph Directions Method for Nonsmooth and Nonconvex Constrained Optimization via Generalized Augmented Lagrangian Duality and a Genetic Algorithm

Wilhelm P. Freire | Afonso C. C. Lemonge | ... | Hernando J. R. Franco
  • Special Issue
  • - Volume 2018
  • - Article ID 8163927
  • - Research Article

A Modified Priority-Based Encoding for Design of a Closed-Loop Supply Chain Network Using a Discrete League Championship Algorithm

Javid Ghahremani Nahr | Ramez Kian | Hassan Rezazadeh
  • Special Issue
  • - Volume 2018
  • - Article ID 9496371
  • - Research Article

Heuristic Determination of Resolving Controls for Exact and Approximate Controllability of Nonlinear Dynamic Systems

Asatur Zh. Khurshudyan
  • Special Issue
  • - Volume 2018
  • - Article ID 9547934
  • - Research Article

An Adaptive Gradient Projection Algorithm for Piecewise Convex Optimization and Its Application in Compressed Spectrum Sensing

Tianjing Wang | Hang Shen | ... | Hua Jiang
  • Special Issue
  • - Volume 2018
  • - Article ID 4208415
  • - Research Article

Allocation of Distributed Energy Systems at District-Scale over Wide Areas for Sustainable Urban Planning with a MILP Model

Yeşim Ok | Mehmet Atak
  • Special Issue
  • - Volume 2018
  • - Article ID 3025264
  • - Research Article

Patch Based Collaborative Representation with Gabor Feature and Measurement Matrix for Face Recognition

Zhengyuan Xu | Yu Liu | ... | Xun Chen
  • Special Issue
  • - Volume 2018
  • - Article ID 9146309
  • - Research Article

Global Optimization for Generalized Linear Multiplicative Programming Using Convex Relaxation

Yingfeng Zhao | Ting Zhao
Mathematical Problems in Engineering
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Acceptance rate12%
Submission to final decision157 days
Acceptance to publication34 days
CiteScore2.600
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