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34 Results Found

  • Article
  • Open Access
3 Citations
893 Views
33 Pages

Integrated Curve and Setting Optimization for DOCRs in Microgrid Environments with a BRKGA-MILP Matheuristic

  • León F. Serna-Montoya,
  • Sergio D. Saldarriaga-Zuluaga,
  • Jesús M. López-Lezama,
  • Nicolás Muñoz-Galeano and
  • Juan G. Villegas

28 November 2025

Guaranteeing the effective coordination of directional overcurrent relays (DOCRs) within microgrids (MGs) is a complex nonlinear problem due to bidirectional power flows, varying fault current levels, and the need for adaptive operation across multip...

  • Article
  • Open Access
7 Citations
4,607 Views
18 Pages

A Matheuristic for Joint Optimal Power and Scheduling Assignment in DVB-T2 Networks

  • Fabio D’Andreagiovanni,
  • Hicham Lakhlef and
  • Antonella Nardin

16 January 2020

Because of the introduction and spread of the second generation of the Digital Video Broadcasting—Terrestrial standard (DVB-T2), already active television broadcasters and new broadcasters that have entered in the market will be required to (re...

  • Article
  • Open Access
2 Citations
1,292 Views
19 Pages

Optimization in Mineral Processing: A Novel Matheuristic for a Variant of the Knapsack Problem

  • Carlos Leiva,
  • Hernán Lespay,
  • Aldo Quelopana and
  • Alessandro Navarra

19 April 2025

This study introduces a novel heuristic approach to optimize mineral processing in metallurgical plants, framed as a variant of the fractional knapsack problem. The optimization framework integrates plant operational modes, blending requirements, and...

(This article belongs to the Section Mineral Processing and Extractive Metallurgy)
  • Article
  • Open Access
1 Citations
350 Views
43 Pages

The optimal expansion of unbalanced three-phase distribution networks in non-interconnected zones requires the simultaneous resolution of two highly complex planning decisions: the selection of feeder routes and the sizing of conductors. This problem...

  • Article
  • Open Access
199 Views
20 Pages

28 October 2026

In recent years, increasing attention has been given to the partitioning of electrical distribution systems. One important area of research concerns interconnected microgrids, where the objective is to balance energy generation and consumption across...

(This article belongs to the Special Issue Advances in Algorithm Optimization and Computational Intelligence, 2nd Edition)
  • Article
  • Open Access
5 Citations
3,210 Views
39 Pages

9 December 2021

The hub location problem (HLP) basically consists of selecting nodes from a network to act as hubs to be used for flow traffic directioning, i.e., flow collection from some origin nodes, probably transfer it to other hubs, and distributing it to dest...

(This article belongs to the Section D1: Probability and Statistics)
  • Feature Paper
  • Article
  • Open Access
324 Views
15 Pages

23 September 2026

This work proposes a matheuristic approach that combines heuristic techniques with mathematical optimization to address a bi-objective, multi-source team orienteering problem. During the exploration phase, nodes are assigned to depots using a biased-...

(This article belongs to the Topic Decision Science Applications and Models (DSAM))
  • Article
  • Open Access
32 Citations
5,565 Views
34 Pages

Matheuristics for Multi-UAV Routing and Recharge Station Location for Complete Area Coverage

  • Rafael Santin,
  • Luciana Assis,
  • Alessandro Vivas and
  • Luciano C. A. Pimenta

2 March 2021

This paper presents matheuristics for routing a heterogeneous group of capacitated unmanned air vehicles (UAVs) for complete coverage of ground areas, considering simultaneous minimization of the coverage time and locating the minimal number of refue...

(This article belongs to the Special Issue Deployment and Navigation of Aerial Drones and Unmanned Marine Vehicles for Monitoring, Communication and Delivery)
  • Article
  • Open Access
8 Citations
5,580 Views
12 Pages

A Parallel Algorithm for Matheuristics: A Comparison of Optimization Solvers

  • Martín González,
  • Jose J. López-Espín and
  • Juan Aparicio

21 September 2020

Metaheuristic and exact methods are one of the most common tools to solve Mixed-Integer Optimization Problems (MIPs). Most of these problems are NP-hard problems, being intractable to obtain optimal solutions in a reasonable time when the size of the...

(This article belongs to the Special Issue High-Performance Computer Architectures and Applications)
  • Article
  • Open Access
865 Views
23 Pages

Circular Economy Modeling: A Multiobjective Closed-Loop Sustainable Supply Chain Problem Solved by Kernel Search

  • Joel-Novi Rodríguez-Escoto,
  • Samuel Nucamendi-Guillén,
  • Elias Olivares-Benitez and
  • Julie Drzymalski

25 February 2026

The multi-objective sustainable closed-loop supply chain network studied involves characteristics that produce high complexity due to the interaction of downstream and upstream strategic, tactical, and operational decisions, as well as sustainability...

(This article belongs to the Special Issue Mathematical Modelling and Optimization for Sustainable Operations Management, 2nd Edition)
  • Article
  • Open Access
9 Citations
3,669 Views
14 Pages

14 February 2024

Electric scooter sharing mobility services have recently spread in major cities all around the world. However, the bad parking behavior of users has become a major source of issues, provoking accidents and compromising urban decorum of public areas....

(This article belongs to the Section Algorithms for Multidisciplinary Applications)
  • Article
  • Open Access
11 Citations
5,678 Views
39 Pages

27 October 2021

This paper considers a variant of the Vehicle Routing Problem with Time Windows, with site dependencies, multiple depots and outsourcing costs. This problem is the basis for many technician routing problems. Having both site-dependency and time windo...

(This article belongs to the Special Issue 2021 Selected Papers from Algorithms Editorial Board Members)
  • Article
  • Open Access
17 Citations
7,181 Views
26 Pages

9 June 2020

This paper considers the general lot sizing and scheduling problem with rich constraints exemplified by means of rework and lifetime constraints for defective items (GLSP-RP), which finds numerous applications in industrial settings, for example, the...

(This article belongs to the Section Algorithms for Multidisciplinary Applications)
  • Article
  • Open Access
9 Citations
5,509 Views
29 Pages

30 July 2020

This paper studies the hybridization of Mixed Integer Programming (MIP) with dual heuristics and machine learning techniques, to provide dual bounds for a large scale optimization problem from an industrial application. The case study is the EURO/ROA...

  • Article
  • Open Access
22 Citations
3,440 Views
14 Pages

12 August 2022

In contemporary urban logistics, drones will become a preferred transportation mode for last-mile deliveries, as they have shown commercial potential and triple-bottom-line performance. Drones, in fact, address many challenges related to congestion a...

  • Article
  • Open Access
13 Citations
3,563 Views
11 Pages

10 November 2022

This paper addresses the Capacitated Vehicle Routing Problem (CVRP), which is a widely studied optimization problem due to its relevance to the field of transportation, distribution, and logistics. We present a matheuristic method for CVRP that adopt...

  • Article
  • Open Access
7 Citations
3,884 Views
16 Pages

Matheuristics for the Design of a Multi-Step, Multi-Product Supply Chain with Multimodal Transport

  • David A. Ruvalcaba-Sandoval,
  • Elias Olivares-Benitez,
  • Omar Rojas and
  • Guillermo Sosa-Gómez

1 November 2021

Supply-chain network design is a complex task because there are many decisions involved, and presently, global networks involve many actors and variables, for example, in the automotive, pharmaceutical, and electronics industries. This research addre...

(This article belongs to the Special Issue Lifecycle and Supply Chain Optimization in Industry 4.0)
  • Article
  • Open Access
7 Citations
2,991 Views
24 Pages

29 April 2022

The No-wait Flowshop Scheduling Problem (NWFSP) has always been a research hotspot because of its importance in various industries. This paper uses a matheuristic approach that combines exact and heuristic algorithms to solve it with the objective to...

(This article belongs to the Section A: Computer Science)
  • Article
  • Open Access
16 Citations
6,922 Views
16 Pages

22 December 2021

This paper focuses on the investigation of a new efficient method for solving machine scheduling and sequencing problems. The complexity of production systems significantly affects companies, especially small- and medium-sized enterprises (SMEs), whi...

(This article belongs to the Special Issue Computing, Electrical and Industrial Systems 2021)
  • Article
  • Open Access
2 Citations
1,200 Views
35 Pages

17 December 2025

Accurate behavioral segmentation of vessel trajectories from Automatic Identification System (AIS) is essential for maritime safety and traffic management. Existing methods often rely on predefined thresholds or emphasize geometric criteria and offer...

(This article belongs to the Section Ocean Engineering)
  • Article
  • Open Access
975 Views
33 Pages

A Matheuristic for the Distance Constrained Inventory Routing Problem

  • Víctor Manuel Valenzuela-Alcaraz,
  • Efraín Ruiz-y-Ruiz,
  • Alma Danisa Romero-Ocaño,
  • Pamela Chiñas-Sánchez and
  • Cecilia Guadalupe Mota-Gutiérrez

7 March 2026

This paper addresses the Distance-Constrained Inventory Routing Problem (DCIRP), a complex problem that combines inventory management and vehicle routing in a logistics context. The problem arises in the context of a specialty gas delivery company th...

(This article belongs to the Special Issue Mathematical Modelling and Optimization for Sustainable Operations Management, 2nd Edition)
  • Article
  • Open Access
1,261 Views
24 Pages

A Two-Stage Matheuristic for the Capacitated Arc Routing Problem with Vehicle Dependence

  • Hugo Alexer Pérez-Vicente,
  • Jonás Velasco and
  • Luis E. Urbán-Rivero

In the capacitated arc routing problem (CARP), a fleet of capacitated vehicles based at a depot must cover the streets of a network where the demand is located at the lowest possible total cost. Waste collection, street sweeping, winter gritting, and...

(This article belongs to the Special Issue Advances in Computational Methods for Logistics and Supply Chain Optimization)
  • Article
  • Open Access
15 Citations
7,401 Views
44 Pages

4 July 2021

A matheuristic approach based on a reduced two-stage Stochastic Integer Linear Programming (SILP) model is presented. The proposed approach is suitable for obtaining a policy constructed dynamically on the go during the rollout algorithm. The rollout...

(This article belongs to the Special Issue Mathematical Models and Exact and Heuristic Algorithms for Solving Complex Optimization Problems)
  • Article
  • Open Access
316 Views
39 Pages

Greedy Backbone Matheuristics for Hierarchical Functional Connected Dominating Sets in Heterogeneous Drone Networks

  • Gustavo Alcántara,
  • Pablo Adasme,
  • Ali Dehghan Firoozabadi and
  • Enrique San Juan

1 September 2026

This paper studies hierarchical functional drone deployment in disaster-response networks through the Hierarchical Functional Connected Dominating Set (HF-CDS) problem. The problem jointly determines active drone locations, a connected backbone of do...

(This article belongs to the Section Combinatorial Optimization, Graph, and Network Algorithms)
  • Article
  • Open Access
3 Citations
2,497 Views
15 Pages

A VNS-Based Matheuristic to Solve the Districting Problem in Bicycle-Sharing Systems

  • Guillermo Cabrera-Guerrero,
  • Aníbal Álvarez,
  • Joaquín Vásquez,
  • Pablo A. Maya Duque and
  • Lucas Villavicencio

8 November 2022

A matheuristic approach that combines a reduced variable neighbourhood search (rVNS) algorithm and a mathematical programming (MP) solver to solve a novel model for the districting problem in a public bicycle-sharing system is presented. The problem...

(This article belongs to the Special Issue Advanced Optimization Methods and Applications)
  • Article
  • Open Access
555 Views
42 Pages

2 July 2026

The electrification of urban transport has made battery electric buses (BEBs) an important option for reducing carbon emissions and improving urban air quality. However, the high investment cost of charging infrastructure and the uncertainty in effec...

(This article belongs to the Section Systems Engineering)
  • Article
  • Open Access
37 Citations
52,449 Views
23 Pages

A Biased-Randomized Iterated Local Search Algorithm for Rich Portfolio Optimization

  • Renatas Kizys,
  • Angel A. Juan,
  • Bartosz Sawik and
  • Laura Calvet

26 August 2019

This research develops an original algorithm for rich portfolio optimization (ARPO), considering more realistic constraints than those usually analyzed in the literature. Using a matheuristic framework that combines an iterated local search metaheuri...

(This article belongs to the Special Issue Advanced Bio-Inspired Mathematical Modeling and Machine Learning Algorithms for Quantitative Finance Applications)
  • Article
  • Open Access
2 Citations
1,824 Views
30 Pages

15 November 2024

In this paper, we study a novel static bike-sharing repositioning problem. There is a set of stations spread over a given area, each containing a number of operative bikes, damaged bikes, and free slots. The customers may pick up an operative bike fr...

  • Article
  • Open Access
6 Citations
2,274 Views
35 Pages

Sustainable and Safe Last-Mile Delivery: A Multi-Objective Truck–Drone Matheuristic

  • Armin Mahmoodi,
  • Mehdi Davoodi,
  • Said M. Easa and
  • Seyed Mojtaba Sajadi

4 February 2026

Background: The rapid growth of e-commerce has intensified the need for last-mile delivery systems that can navigate urban congestion while minimizing environmental impact. Hybrid truck–drone networks offer a promising solution by combining hea...

(This article belongs to the Special Issue Multi-Criteria Decision-Making and Its Application in Sustainable Smart Logistics—2nd Edition)
  • Article
  • Open Access
573 Views
36 Pages

17 September 2026

Integrated mine–plant optimization should account for multiple geological uncertainties, yet practice typically considers only grade. Lithological domain uncertainty is a distinct source of geometallurgical variability because rock type governs...

(This article belongs to the Special Issue Geometallurgy Applied to Mine Planning)
  • Article
  • Open Access
11 Citations
8,737 Views
20 Pages

18 November 2023

The problem of two-dimensional irregular packing involves the arrangement of objects with diverse shapes and sizes within a given area. This challenge arises across various industrial sectors, where effective packing optimization can yield cost savin...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Article
  • Open Access
630 Views
26 Pages

30 June 2026

Over the last decades, the rapid growth of e-commerce has increased the scale and operational intensity of warehouse systems. Consequently, sustainability in warehouse operations has become increasingly important due to rising energy consumption and...

(This article belongs to the Section Sustainable Transportation)
  • Article
  • Open Access
423 Views
36 Pages

9 May 2026

In geometric communication networks, a backbone is useful only if it is inexpensive to build and, at the same time, close enough to the demand points it must serve. This paper studies a backbone design problem in geometric communication networks that...

(This article belongs to the Special Issue Mathematical Advances in Combinatorial Optimization: Theory, Methods, and Applications)
  • Article
  • Open Access
6 Citations
2,798 Views
20 Pages

26 January 2024

The flexible movement of racks in the mobile-rack picking system (MRPS) significantly improves the picking efficiency of e-commerce orders with the characteristics of “one order multi–items” and creates a challenging problem of how...

(This article belongs to the Special Issue Operations and Supply Chain Management with the Application of Mathematical Models)