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Mathematics
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Operations Research and Its Applications
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Operations Research and Its Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E: Applied Mathematics".

Deadline for manuscript submissions: closed (30 September 2024) | Viewed by 5931

Special Issue Editors

Dr. Maria Do Castelo Gouveia

E-Mail Website
Guest Editor
1. Polytechnic of Coimbra, Coimbra Business School | ISCAC Quinta Agrícola, Bencanta, 3040-316 Coimbra, Portugal
2. INESC Coimbra—DEEC, University of Coimbra, Polo 2, 3030-290 Coimbra, Portugal
3. CeBER, Faculty of Economics, University of Coimbra, Av Dias da Silva 165, 3004-512 Coimbra, Portugal
Interests: data envelopment analysis; multicriteria decision analysis; robustness assessment; efficiency analysis
Dr. Carla Oliveira Henriques

E-Mail Website
Guest Editor
Coimbra Business School|ISCAC, Coimbra & INESC Coimbra, Polytechnic University of Coimbra, Bencanta 3045-601, Portugal
Interests: energy economics; economics of education; multiobjetive optimization; interval and fuzzy programming; efficiency analysis
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Operations research applies mathematical and analytical methods to improve decision-making across various domains, such as transportation, logistics, supply chain management, finance, and healthcare. The field often utilizes quantitative models to analyze data and simulate real-world scenarios for optimal decision-making.

Regarding the special issue on operations research and its applications, the topics that can be covered include supply chain optimization and management, transportation planning and logistics, healthcare operations management, revenue management, pricing strategies, risk management, decision-making under uncertainty, data analytics, machine learning applications in operations research, and energy planning. Contributions that report on other applications with real-world case studies are also welcome.

All submitted papers will undergo a rigorous review process according to the quality standards of the Mathematics journal. The papers must contain original research, and numerical illustrations should refer to realistic case studies for which data is provided to ensure result replicability. The papers should also contribute novel and noteworthy research relevant to the field's literature.

Dr. Maria Do Castelo Gouveia
Dr. Carla Oliveira Henriques
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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

  • optimization
  • decision-making
  • modeling
  • simulation
  • data analytics
  • machine learning
  • supply chain management
  • logistics
  • transportation planning
  • healthcare operations management
  • revenue management
  • pricing strategies
  • risk management
  • uncertainty
  • energy planning

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Published Papers (4 papers)

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22 pages, 3200 KiB  
Article
Stochastic Evolutionary Analysis of an Aerial Attack–Defense Game in Uncertain Environments
by Shiguang Hu, Le Ru, Bo Lu, Zhenhua Wang, Wenfei Wang and Hailong Xi
Mathematics 2024, 12(19), 3050; https://doi.org/10.3390/math12193050 - 28 Sep 2024
Viewed by 810
Abstract
Aiming at the problem of random environment interference in the process of strategy interaction and the behavioral evolution of an aerial attack–defense game, this paper considers the influence of the difference in the performance and value between both game players in terms of [...] Read more.
Aiming at the problem of random environment interference in the process of strategy interaction and the behavioral evolution of an aerial attack–defense game, this paper considers the influence of the difference in the performance and value between both game players in terms of strategy evolution; explores the randomness of the complex battlefield environment, the uncertainty of the behavioral state of game players, and the limitations of the emergent situation; constructs a mathematical model of the stochastic evolution of an aerial-coordinated attack–defense game in uncertain environments; and studies the stability of the strategy interaction and behavioral decision-making process of both players of the aerial attack–defense game. Simulation results show that many factors of the performance and value between both game players have a greater impact on the strategy evolution trend in both game players, which not only causes changes in the results of the strategy selection but also affects the rate of strategy evolution for the game players. In addition, random environmental factors cause a certain degree of interference to the strategy evolution process of the game players, which usually accelerates the game players’ strategy evolution rate and greatly affects the evolution process of the game players’ strategy. This study can provide a theoretical basis and feasible reference for improving mission decision-making, response mechanisms, and system modeling of an aerial attack–defense game, which has important theoretical value and practical significance. Full article
(This article belongs to the Special Issue Operations Research and Its Applications)
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28 pages, 1220 KiB  
Article
Handling Non-Linearities in Modelling the Optimal Design and Operation of a Multi-Energy System
by Antoine Mallégol, Arwa Khannoussi, Mehrdad Mohammadi, Bruno Lacarrière and Patrick Meyer
Mathematics 2023, 11(23), 4855; https://doi.org/10.3390/math11234855 - 2 Dec 2023
Cited by 2 | Viewed by 1287
Abstract
Multi-energy systems (MESs) combining different energy carriers like electricity and heat allow for more efficient and sustainable energy solutions. However, optimizing the design and operation of MESs is challenging due to non-linearities in the mathematical models used, especially the performance curves of technologies [...] Read more.
Multi-energy systems (MESs) combining different energy carriers like electricity and heat allow for more efficient and sustainable energy solutions. However, optimizing the design and operation of MESs is challenging due to non-linearities in the mathematical models used, especially the performance curves of technologies like combined heat and power units. Unlike similar work from the literature, this paper proposes an improved piecewise linearization method to efficiently handle the non-linearities, models an MES as a multi-objective mixed-integer linear program (MILP), and solves the optimization problem over a year with hourly resolution to enable detailed operation and faithful system design. The method uses fewer linear pieces to approximate non-linear functions compared to a standard technique, resulting in lower complexity while preserving accuracy. The MES design and operation problem maximizes cost reduction and the rate of renewable energy sources. A case study on an MES with electricity and heat over one year with hourly resolution demonstrates the effectiveness of the new method. It allows for solving a long-term MES optimization problem in reasonable computation times. Full article
(This article belongs to the Special Issue Operations Research and Its Applications)
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23 pages, 6365 KiB  
Article
A Multi-Objective Mathematical Programming Model for Transit Network Design and Frequency Setting Problem
by Abdulkerim Benli and İbrahim Akgün
Mathematics 2023, 11(21), 4488; https://doi.org/10.3390/math11214488 - 30 Oct 2023
Cited by 1 | Viewed by 1749
Abstract
In this study, we propose a novel multi-objective nonlinear mixed-integer mathematical programming model for the transit network design and frequency setting problem that aims at designing the routes and determining the frequencies of the routes to satisfy passenger demand in a transit network. [...] Read more.
In this study, we propose a novel multi-objective nonlinear mixed-integer mathematical programming model for the transit network design and frequency setting problem that aims at designing the routes and determining the frequencies of the routes to satisfy passenger demand in a transit network. The proposed model incorporates the features of real-life transit network systems and reflects the views of both passengers and the transit agency by considering the in-vehicle travel time, transfers, waiting times at the boarding and transfer stops, overcrowding and under-utilization of vehicles, and vehicle fleet size. Unlike previous studies that simplify several aspects of the transit network design and frequency setting problem, the proposed model is the first to determine routes and their frequencies simultaneously from scratch, i.e., without using line and frequency pools while considering the aforementioned issues, such as transfers and waiting. We solve the proposed model using Gurobi. We provide the results of what-if analyses conducted using a real-world public bus transport network in the city of Kayseri in Türkiye. We also present the results of computational tests implemented to validate and verify the model using Mandl benchmark instances from the literature. The results indicate that the model produces better solutions than the state-of-the-art algorithms in the literature and that the model can be used by public transit planners as a decision aid. Full article
(This article belongs to the Special Issue Operations Research and Its Applications)
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30 pages, 3131 KiB  
Article
The Delay Time Profile of Multistage Networks with Synchronization
by Yonit Barron
Mathematics 2023, 11(14), 3232; https://doi.org/10.3390/math11143232 - 23 Jul 2023
Cited by 1 | Viewed by 1069
Abstract
The interaction between projects and servers has grown significantly in complexity; thus, applying parallel calculations increases dramatically. However, it should not be ignored that parallel processing gives rise to synchronization constraints and delays, generating penalty costs that may overshadow the savings obtained from [...] Read more.
The interaction between projects and servers has grown significantly in complexity; thus, applying parallel calculations increases dramatically. However, it should not be ignored that parallel processing gives rise to synchronization constraints and delays, generating penalty costs that may overshadow the savings obtained from parallel processing. Motivated by this trade-off, this study investigates two special and symmetric systems of split–join structures: (i) parallel structure and (ii) serial structure. In a parallel structure, the project arrives, splits into m parallel groups (subprojects), each comprising n subsequent stages, and ends after all groups are completed. In the serial structure, the project requires synchronization after each stage. Employing a numerical study, we investigates the time profile of the project by focusing on two types of delays: delay due to synchronization overhead (occurring due to the parallel structure), and delay due to overloaded servers (occurring due to the serial structure). In particular, the author studies the effect of the number of stages, the number of groups, and the utilization of the servers on the time profile and performance of the system. Further, this study shows the efficiency of lower and upper bounds for the mean sojourn time. The results show that the added time grows logarithmically with m (parallelism) and linearly with n (seriality) in both structures. However, comparing the two types of split–join structures shows that the synchronization overhead grows logarithmically undr both parallelism and seriality; this yields an unexpected duality property of the added time to the serial system. Full article
(This article belongs to the Special Issue Operations Research and Its Applications)
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