Optimization Theory and Applications in Engineering, Management and Other Fields

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Fuzzy Sets, Systems and Decision Making".

Deadline for manuscript submissions: closed (30 April 2024) | Viewed by 2420

Special Issue Editors


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Guest Editor
Department of Mathematics, Addis Ababa Science and Technology University, Addis Ababa, Ethiopia
Interests: applied mathematics; computational optimization

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Guest Editor
Automation Research Group of MAIAA (Applied Mathematics, Informatics and Automation for Aeronautics) at Elena Capitanul Conea (ENAC, France), Toulouse, France
Interests: resource-constrained project scheduling; scheduling problem; resources

Special Issue Information

Dear Colleagues,

Optimization has a far-reaching use and applications in different disciplines. It has been used in engineering, management, policy design, and so on. Due to its applicability and the introduction of new and challenging problems, the study of optimization methods has been one of the focus points in applied disciplines. Depending on the nature of the problem, it can be classified in different ways. Multi-objective versus single objective is one classification, where the former deals with simultaneous optimization of, often conflicting, multiple objectives. Dynamic versus static is another classification where dynamic is when a time-dependent model is under consideration. Deterministic versus non-deterministic is another classification based on the level of information on the quantities under consideration. Non-deterministic considers when there is incomplete information where these quantities can be stochastic, fuzzy, or grey. Solution methods for these problems can be classical or heuristic based. With the development of computational tools, heuristic algorithms are popular for challenging optimization problems including black box optimization.

This Special Issue is devoted to the advances in this area. Hence, possible focus topics include, but are not limited to:

  • Linear and non-linear programming
  • Stochastic optimization
  • Fuzzy optimization
  • Grey optimization
  • Multi objective optimization
  • Multilevel optimization
  • Optimal control
  • Dynamic optimization
  • Metaheuristics
  • Hyperheuristics
  • Matheuristics

Dr. Surafel Luleseged Tilahun
Prof. Dr. F. Mora-Camino
Guest Editors

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Keywords

  • linear and non-linear programming
  • stochastic optimization
  • fuzzy optimization
  • grey optimization
  • multi objective optimization
  • multilevel optimization
  • optimal control
  • dynamic optimization
  • metaheuristics
  • hyperheuristics
  • matheuristic

 

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Published Papers (1 paper)

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Research

22 pages, 1275 KiB  
Article
A Data-Driven Heuristic Method for Irregular Flight Recovery
by Nianyi Wang, Huiling Wang, Shan Pei and Boyu Zhang
Mathematics 2023, 11(11), 2577; https://doi.org/10.3390/math11112577 - 4 Jun 2023
Cited by 2 | Viewed by 1544
Abstract
In this study, we develop a data-driven heuristic method to solve the irregular flight recovery problem. Based on operational data from China South Airlines, Beijing, China, we evaluate the importance of a flight in the flight network and the influence of a delay [...] Read more.
In this study, we develop a data-driven heuristic method to solve the irregular flight recovery problem. Based on operational data from China South Airlines, Beijing, China, we evaluate the importance of a flight in the flight network and the influence of a delay on a flight and its subsequent flights. Then, we classify historical states into three scenarios according to their delay reasons and investigate the recovery patterns for each scenario. Inspired by the results of the data analysis, we develop a heuristic algorithm that imitates dispatcher actions. The algorithm is based on two basic operations: swapping the tail numbers of two flights and resetting their flight departure times. The algorithm can provide multiple recovery plans in real time for different scenarios, and we continue to refine and validate the algorithm for more robust and general solutions through a cost analysis. Finally, we test the efficiency and effectiveness of the recovery method based on the flight schedule, with real and simulated delays, and compare it with two other methods and the recovery actions of dispatchers. Full article
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