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1,310 Results Found

  • Article
  • Open Access
16 Citations
9,490 Views
21 Pages

13 May 2023

In this paper, we are discussing a research project aiming to optimize the scheduling of production orders within a real application in the packaging field. As a first approach, we model the problem as an extended version of the hybrid and flexible f...

(This article belongs to the Special Issue Design and Optimization of Manufacturing Systems)
  • Article
  • Open Access
8 Citations
2,133 Views
16 Pages

25 February 2022

In this paper, we investigate and develop a new filled function method for solving integer programming problems with constraints. By adopting the appropriate equivalent transformation method, these problems are transformed into a class of box-constra...

(This article belongs to the Special Issue Fixed Point, Optimization, and Applications II)
  • Feature Paper
  • Article
  • Open Access
8 Citations
3,280 Views
11 Pages

20 December 2021

In finance, the most efficient portfolio is the tangency portfolio, which is formed by the intersection point of the efficient frontier and the capital market line. This paper defines and explores a time-varying tangency portfolio under nonlinear con...

  • Article
  • Open Access
8 Citations
5,151 Views
18 Pages

11 October 2021

The paper presents the Generalized Benders Decomposition (GBD) method, which is now one of the basic approaches to solve big mixed-integer nonlinear optimization problems. It concentrates on the basic formulation with convex objectives and constraint...

(This article belongs to the Special Issue Mixed-Integer Linear and Nonlinear Programming Methods for Energy Aware Traffic Control in Stationary Networks and Clouds)
  • Article
  • Open Access
429 Views
23 Pages

Integer Linear Programming (ILP) is a powerful way to formulate sophisticated optimization models for making geospatial decisions in GIS. One of the general modeling constructs in ILP is the multi-level closest assignment (MLCA) constraint in the rel...

  • Article
  • Open Access
80 Views
47 Pages

11 November 2026

Mass evacuation during a natural hazard can concentrate displaced populations in a limited number of destinations, altering mobility and contact patterns in ways that may increase infectious disease transmission. Existing evacuation models largely em...

  • Article
  • Open Access
6 Citations
2,364 Views
22 Pages

27 August 2024

In this paper, the quadratic p-median optimization problem is discussed, where the goal is to connect users to a selected group of facilities (emergency services, telecommunications servers, healthcare facilities) at the lowest possible cost. The pro...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
5 Citations
2,253 Views
20 Pages

22 September 2025

Optimizing the layout of data centers is important for the rapid development of digital infrastructure, while also addressing the issues of energy consumption, environmental sustainability, and geographic resource distribution. Traditional strategies...

  • Article
  • Open Access
3 Citations
2,911 Views
20 Pages

In three-dimensional (3D) logistics environments, finding optimal paths for unmanned aerial vehicles (UAVs) is challenging due to positioning inaccuracies that require ground-based corrections. These inaccuracies are exacerbated in harsh environments...

(This article belongs to the Special Issue Advanced Modelling Techniques in Transportation Engineering)
  • Article
  • Open Access
29 Citations
9,029 Views
27 Pages

26 November 2020

This paper develops a mathematical model for intermodal freight transportation. It focuses on determining the flow of goods, the number of vehicles, and the transferred volume of goods transported from origin points to destination points. The model o...

(This article belongs to the Special Issue Operations Research Using Fuzzy Sets Theory)
  • Article
  • Open Access
3 Citations
2,928 Views
16 Pages

Aiming at the disrupted flight recovery problem, this paper established a mixed-integer programming model based on the resource assignment model to minimize the recovery cost. To deal with the large-scale examples, the Logic-Based Benders decompositi...

(This article belongs to the Special Issue Advances in Air Traffic and Airspace Control and Management (2nd Edition))
  • Article
  • Open Access
2,596 Views
31 Pages

16 December 2025

While the Seokguram Grotto is celebrated in art history for its sculptural mastery, its architectural identity as a constructed stone dome—distinct from excavated caves—remains under-researched. Existing studies have largely relied on geo...

(This article belongs to the Special Issue Architectural History, Modern Built Heritage, Conservation Repair and Renovation)
  • Article
  • Open Access
25 Citations
4,938 Views
19 Pages

Optimization for a Multi-Constraint Truck Appointment System Considering Morning and Evening Peak Congestion

  • Bowei Xu,
  • Xiaoyan Liu,
  • Yongsheng Yang,
  • Junjun Li and
  • Octavian Postolache

23 January 2021

Gate and yard congestion is a typical type of container port congestion, which prevents trucks from traveling freely and has become the bottleneck that constrains the port productivity. In addition, urban traffic increases the uncertainty of the truc...

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
3 Citations
1,824 Views
15 Pages

22 November 2024

Event causality identification (ECI) focuses on detecting causal relationships between events within a document. Existing approaches typically treat each event-mention pair independently, overlooking the relational dynamics and potential conflicts am...

(This article belongs to the Special Issue New Advances in Affective Computing)
  • Article
  • Open Access
3 Citations
2,955 Views
22 Pages

An Extended Unit Restriction Model with Environmental Considerations for Forest Harvesting

  • Roger Z. Ríos-Mercado,
  • Mario C. López-Locés,
  • Oscar A. Aguirre-Calderón,
  • Andrés Weintraub and
  • Carlos Beltrán-Pérez

12 April 2023

This paper addresses a forest harvesting problem with adjacency constraints, including additional environmental constraints to protect wildlife habitats and minimize infrastructure deployment costs. To this end, we propose an integer programming mode...

(This article belongs to the Section Forest Ecology and Management)
  • Article
  • Open Access
6 Citations
3,580 Views
26 Pages

21 August 2025

The transition to fully electric bus (EB) fleets introduces new challenges in coordinating daily operations and managing charging energy needs, while accounting for infrastructure constraints. The paper proposes a three-stage optimization framework t...

(This article belongs to the Special Issue Integrated Solutions for Transportation and Energy Systems: Advancing Sustainable Mobility and Power Infrastructure)
  • Article
  • Open Access
2 Citations
2,903 Views
15 Pages

17 February 2024

A pickup and delivery problem by multiple agents has many applications, such as food delivery service and disaster rescue. In this problem, there are cases where fuels must be considered (e.g., the case of using drones as agents). In addition, there...

  • Article
  • Open Access

A Knowledge-Driven Optimization Planning Method for Emergency Command Communication Networking

  • Yao Li,
  • Jiaqi Liu,
  • Chang Guo,
  • Wei Gao and ,
  • Zhenhai Lu,
  • Jingke Wan,
  • Chao Zhang and
  • Jungang Yang
  • + 3 authors+ 0 author

12 November 2026

After a major earthquake, public communication infrastructure is frequently paralyzed by damage, power outages, and traffic congestion, compelling emergency command systems to rapidly establish reliable dedicated communication networks under limited...

(This article belongs to the Special Issue Advances in Technologies, Algorithms and Applications for Planning, Scheduling and Optimization)
  • Article
  • Open Access
1,345 Views
25 Pages

With the rapid development of all-electric ships (AESs) and the growing emphasis on sustainable shipping, there is an increasing need for effective scheduling solutions that address the unique challenges associated with AESs, such as battery limitati...

(This article belongs to the Section Automated and Connected Vehicles)
  • Article
  • Open Access
5 Citations
3,148 Views
20 Pages

17 December 2023

The coordinated scheduling of cascade hydropower with photovoltaic (PV) power stations can significantly improve the utilization rate of delivery transmission lines. However, the inherent uncertainty associated with photovoltaic (PV) forecasts challe...

(This article belongs to the Section Air, Climate Change and Sustainability)
  • Article
  • Open Access
268 Views
32 Pages

4 October 2026

This paper addresses the optimal distribution feeder reconfiguration (DFR) problem with an explicit and practical consideration of switching maneuver limitations. While extensive research has focused on losses minimization by optimizing the network t...

(This article belongs to the Special Issue Renewable Energy Development in Distribution Networks: Optimization, Assessment and Design of Renewable Plants—2nd Edition)
  • Article
  • Open Access
1 Citations
1,439 Views
30 Pages

Network-Aware Smart Scheduling for Semi-Automated Ceramic Production via Improved Discrete Hippopotamus Optimization

  • Qi Zhang,
  • Changtian Zhang,
  • Man Yao,
  • Xiwang Guo and ,
  • Shujin Qin,
  • Haibin Zhu,
  • Liang Qi and
  • Bin Hu
  • + 3 authors+ 0 author

5 September 2025

The increasing integration of automation and intelligent sensing technologies in daily-use ceramic manufacturing poses new challenges for efficient scheduling under hybrid flow-shop and shared-kiln constraints. To address these challenges, this study...

(This article belongs to the Section Networks)
  • Article
  • Open Access
87 Citations
6,253 Views
14 Pages

3 March 2019

In this paper, the mixed integer linear programming (MILP) for solving unit commitment (UC) problems in a hybrid power system containing thermal, hydro, and wind power have been studied. To promote its efficiency, an improved MILP approach has been p...

  • Article
  • Open Access
7 Citations
7,174 Views
19 Pages

Solving Location Assignment and Order Picker-Routing Problems in Warehouse Management

  • Johanna Bolaños-Zuñiga,
  • M. Angélica Salazar-Aguilar and
  • Jania Astrid Saucedo-Martínez

22 July 2023

One of the critical warehousing processes is the order-picking process. This activity consists of retrieving items from their storage locations to fulfill the demand specified in the pick lists. Therefore, the storage location assignment affects the...

(This article belongs to the Special Issue Applied Mathematical Modeling and Optimization)
  • Article
  • Open Access
74 Citations
10,587 Views
21 Pages

Hazardous waste location-routing problems are of importance due to the potential risk for nearby residents and the environment. In this paper, an improved mathematical formulation is developed based upon a multi-objective mixed integer programming ap...

  • Article
  • Open Access
3 Citations
3,341 Views
19 Pages

Divide and Conquer: A Location-Allocation Approach to Sectorization

  • Cristina Lopes,
  • Ana Maria Rodrigues,
  • Valeria Romanciuc,
  • José Soeiro Ferreira and ,
  • Elif Göksu Öztürk and
  • Cristina Oliveira
  • + 1 author+ 0 author

2 June 2023

Sectorization is concerned with dividing a large territory into smaller areas, also known as sectors. This process usually simplifies a complex problem, leading to easier solution approaches to solving the resulting subproblems. Sectors are built wit...

(This article belongs to the Special Issue Industrial Mathematics in Management and Engineering)
  • Article
  • Open Access
4 Citations
1,081 Views
25 Pages

Joint Scheduling of New Energy Hybrid Tugboats and Berths Under Shore Power Constraint

  • Liangyong Chu,
  • Jiachen Lin,
  • Xiyao Xu,
  • Zihao Yang and
  • Qiuping Yang

24 November 2025

With the rapid advancement of battery technology, new energy hybrid tugboats have been progressively adopted. In order to align with the trend of electrifying tugboat fleets, a mixed-integer linear programming (MILP) model for the joint scheduling of...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
14 Citations
8,483 Views
20 Pages

Graph Burning: Mathematical Formulations and Optimal Solutions

  • Jesús García-Díaz,
  • Lil María Xibai Rodríguez-Henríquez,
  • Julio César Pérez-Sansalvador and
  • Saúl Eduardo Pomares-Hernández

5 August 2022

The graph burning problem is an NP-hard combinatorial optimization problem that helps quantify how vulnerable a graph is to contagion. This paper introduces three mathematical formulations of the problem: an integer linear program (ILP) and two const...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
4 Citations
3,160 Views
24 Pages

Extending and Solving the Refrigerated Routing Problem

  • Sara Ceschia,
  • Luca Di Gaspero and
  • Antonella Meneghetti

26 November 2020

In recent years, cold food chains have shown an impressive growth, mainly due to customers life style changes. Consequently, the transportation of refrigerated food is becoming a crucial aspect of the chain, aiming at ensuring efficiency and sustaina...

(This article belongs to the Special Issue Refrigeration Systems and Applications 2020)
  • Article
  • Open Access
835 Views
37 Pages

ILP Formulation and Exact Solution of Multicast Routing with Fairness

  • Basma Mostafa Hassan,
  • Hanan Haj Ahmad and
  • Miklós Molnár

11 August 2026

Fairness is critical in delay-sensitive group applications—multiplayer online games, live collaborative editing, and distributed interactive simulations—where every participant should receive each message within a bounded delay and with m...

(This article belongs to the Special Issue Advanced Optimization Methods and Applications, 3rd Edition)
  • Article
  • Open Access
14 Citations
4,380 Views
39 Pages

Supply Chains Problem During Crises: A Data-Driven Approach

  • Farima Salamian,
  • Amirmohammad Paksaz,
  • Behrooz Khalil Loo,
  • Mobina Mousapour Mamoudan and ,
  • Mohammad Aghsami and
  • Amir Aghsami
  • + 1 author+ 0 author

12 December 2024

Efficient management of hospital evacuations and pharmaceutical supply chains is a critical challenge in modern healthcare, particularly during emergencies. This study addresses these challenges by proposing a novel bi-objective optimization framewor...

  • Article
  • Open Access
30 Citations
6,764 Views
17 Pages

25 November 2015

Available transfer capability (ATC) is the transfer capability remaining in the physical transmission network for further commercial activity over and above already committed uses which needs to be posted in the electricity market to facilitate compe...

  • Article
  • Open Access
343 Views
26 Pages

Energy Mix Optimization for Yard Trucks in Container Ports Under Low-Carbon Constraints

  • Linlin Zhang,
  • Junhao Lai,
  • Ke Hu,
  • Ye Zhang and ,
  • Qinmei Zhu,
  • Pengjun Zheng and
  • Guiyun Liu
  • + 2 authors+ 0 author

13 August 2026

With the rapid expansion of global trade, the environmental impacts of port operations have attracted increasing attention. This study develops a mixed-integer programming (MIP) model to identify low-carbon energy mix replacement pathways for yard tr...

  • Article
  • Open Access

13 November 2026

Dynamic collaborative organizations must allocate limited decision-making resources under task uncertainty, cross-role workload coupling and reliability constraints. This study develops an integrated type-determination and quantity-optimization frame...

  • Article
  • Open Access
26 Citations
6,677 Views
30 Pages

9 May 2019

In this paper, we propose a variable block insertion heuristic (VBIH) algorithm to solve the permutation flow shop scheduling problem (PFSP). The VBIH algorithm removes a block of jobs from the current solution. It applies an insertion local search t...

(This article belongs to the Special Issue Metaheuristic Algorithms in Optimization and Applications (volume 2))
  • Article
  • Open Access
36 Views
21 Pages

4 November 2026

Wind investors in network-constrained electricity markets must make siting and capacity decisions under uncertain demand and wind availability, while market prices and congestion respond to these decisions. This paper examines how alternative represe...

(This article belongs to the Special Issue Next-Generation Smart Energy Systems for Sustainable and Decarbonized Energy Infrastructures)
  • Article
  • Open Access
13 Citations
5,446 Views
30 Pages

18 August 2021

Global warming and climate change are threatening life on earth. These changes are due to human activities resulting in the emission of greenhouse gases. This is caused by intensive industrial activities and excessive fuel energy consumption. Recentl...

(This article belongs to the Special Issue Sustainable Product Design and Manufacturing)
  • Article
  • Open Access
13 Citations
7,086 Views
14 Pages

22 November 2019

Integer Linear Programming (ILP) is among the most successful and general paradigms for solving computationally intractable optimization problems in computer science. ILP is NP-complete, and until recently we have lacked a systematic study of the com...

(This article belongs to the Special Issue New Frontiers in Parameterized Complexity and Algorithms)
  • Proceeding Paper
  • Open Access

18 September 2026

We formulate the training of a fully connected feed-forward neural network with two hidden layers as a nonlinear programming framework with integer-parameterized architectures. The upper level selects an L2 regularization coefficient λ∈[&...

  • Article
  • Open Access
2 Citations
3,426 Views
16 Pages

27 December 2023

The minimum-cost arborescence problem is a well-studied problem. Polynomial-time algorithms for solving it exist. Recently, a new variation of the problem called the Precedence-Constrained Minimum-Cost Arborescence Problem with Waiting Times was pres...

(This article belongs to the Special Issue 2022 and 2023 Selected Papers from Algorithms Editorial Board Members)
  • Review
  • Open Access
16 Citations
10,151 Views
27 Pages

From Integer Programming to Machine Learning: A Technical Review on Solving University Timetabling Problems

  • Xin Gu,
  • Muralee Krish,
  • Shaleeza Sohail,
  • Sweta Thakur and ,
  • Fariza Sabrina and
  • Zongwen Fan
  • + 1 author+ 0 author

Solving the university timetabling problem is crucial as it ensures efficient use of resources, minimises scheduling conflicts, and enhances overall productivity. This paper presents a comprehensive review of university timetabling problems using int...

(This article belongs to the Section Computational Social Science)
  • Article
  • Open Access
6 Citations
2,684 Views
15 Pages

15 June 2020

Recently, as global warming has become a major issue, many companies have increased their efforts to control carbon emissions in green supply chain management (GSCM) activities. This paper deals with the multi-item replenishment problem in GSCM, from...

(This article belongs to the Special Issue Sustainable Assessment in Supply Chain and Infrastructure Management)
  • Article
  • Open Access
8 Citations
4,724 Views
16 Pages

Improving Farmers’ Revenue in Crop Rotation Systems with Plot Adjacency Constraints in Organic Farms with Nutrient Amendments

  • Jean Louis Ebongue Kedieng Fendji,
  • Clovis Tchuinte Kenmogne,
  • David Jaurès Fotsa-Mbogne and
  • Anna Förster

23 July 2021

The search for sustainable agriculture is leading many economies to turn to crop rotation systems and to abandon monoculture systems which generally require increased use of pesticides and synthetic fertilizers. But the optimization of crop rotation...

  • Article
  • Open Access
18 Citations
5,090 Views
32 Pages

In the process of globalization, customer demand is usually difficult to predict, and product recycling is generally difficult to achieve accurately. It is also urgent to deal with increased inventory while avoiding shortages, with the purpose of red...

(This article belongs to the Special Issue Engineering for Sustainable Environment)
  • Article
  • Open Access
1,046 Views
21 Pages

This study proposes a rigorous optimization framework for the design of traffic counting station locations in large-scale highway networks, with specific application to Thailand’s national highway system. A mixed-integer linear programming (MIL...

  • Article
  • Open Access
5 Citations
3,152 Views
25 Pages

The Normalized Direct Trigonometry Model for the Two-Dimensional Irregular Strip Packing Problem

  • Germán Pantoja-Benavides,
  • David Álvarez-Martínez and
  • Francisco Parreño Torres

2 August 2024

Background: The Irregular Strip Packing Problem (ISPP) involves packing a set of irregularly shaped items within a strip while minimizing its length. Methods: This study introduces the Normalized Direct Trigonometry Model (NDTM), an innovative enhanc...

(This article belongs to the Special Issue Advanced Applications of Mathematical Modeling and Optimization in Logistics and Manufacturing)
  • Article
  • Open Access
601 Views
20 Pages

30 January 2026

Digital microfluidic biochips are widely used for automated biochemical and diagnostic applications such as molecular analysis, immunoassays, and point-of-care testing. Among them, micro-electrode-dot-array (MEDA) biochips enable fine-grained droplet...

(This article belongs to the Section Applied Biosciences and Bioengineering)
  • Article
  • Open Access
16 Citations
3,832 Views
32 Pages

Optimizing Virtual Power Plants with Parallel Simulated Annealing on High-Performance Computing

  • Ali Abbasi,
  • Filipe Alves,
  • Rui A. Ribeiro,
  • João L. Sobral and
  • Ricardo Rodrigues

This work focuses on optimizing the scheduling of virtual power plants (VPPs)—as implemented in the Portuguese national project New Generation Storage (NGS)—to maximize social welfare and enhance energy trading efficiency within modern en...

  • Article
  • Open Access
18 Citations
3,288 Views
11 Pages

Constrained MLAMBDA Method for Multi-GNSS Structural Health Monitoring

  • Haiyang Li,
  • Guigen Nie,
  • Dezhong Chen,
  • Shuguang Wu and
  • Kezhi Wang

15 October 2019

Deformation monitoring of engineering structures using the advanced Global Navigation Satellite System (GNSS) has attracted research interest due to its high-precision, constant availability and global coverage. However, GNSS application requires pre...

(This article belongs to the Section Remote Sensors)
  • Article
  • Open Access
16 Citations
3,857 Views
23 Pages

18 February 2019

The generation management concept for non-interconnected island (NII) systems is traditionally based on simple, semi-empirical operating rules dating back to the era before the massive deployment of renewable energy sources (RES), which do not achiev...

(This article belongs to the Special Issue Advances in Electrical Power Engineering—Select papers from 53rd International Universities Power Engineering Conference (UPEC2018))

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