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945 Results Found

  • Article
  • Open Access
36 Citations
10,236 Views
16 Pages

Mixed Integer Linear Programming Models to Solve a Real-Life Vehicle Routing Problem with Pickup and Delivery

  • Ali Louati,
  • Rahma Lahyani,
  • Abdulaziz Aldaej,
  • Racem Mellouli and
  • Muneer Nusir

14 October 2021

This paper presents multiple readings to solve a vehicle routing problem with pickup and delivery (VRPPD) based on a real-life case study. Compared to theoretical problems, real-life ones are more difficult to address due to their richness and comple...

(This article belongs to the Section Transportation and Future Mobility)
  • Article
  • Open Access
401 Views
32 Pages

5 August 2026

This paper aims to present efficient alternative mixed-integer non-linear programming models and a customized hybrid metaheuristic, the Genetic-Based Algorithm (GBA), for a resource-constrained project-scheduling problem with a flexible network struc...

  • Article
  • Open Access
27 Citations
7,036 Views
17 Pages

29 September 2018

Finding a minimum spanning tree in a given network is a famous combinatorial optimization problem that appears in different engineering applications. Even though this problem is solvable in polynomial time, having efficient mathematical programming m...

  • Feature Paper
  • Article
  • Open Access
4 Citations
2,887 Views
31 Pages

Mixed-Integer Linear Programming Models for the Vehicle Routing Problem with Release Times and Reloading at Mobile Satellites

  • Raúl Soto-Concha,
  • Daniel Morillo-Torres,
  • John Willmer Escobar,
  • Jorge Félix Mena-Reyes and
  • Rodrigo Linfati

13 November 2025

The Vehicle Routing Problem (VRP) is central to last-mile logistics, yet a gap remains when products have late release times and vehicles can be reloaded en route via mobile satellites that rendezvous with reloading vehicles at customer locations. We...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
21 Citations
9,775 Views
24 Pages

A Mixed-Integer Linear Formulation for a Dynamic Modified Stochastic p-Median Problem in a Competitive Supply Chain Network Design

  • Amir Hossein Sadeghi,
  • Ziyuan Sun,
  • Amirreza Sahebi-Fakhrabad,
  • Hamid Arzani and
  • Robert Handfield

Background: The Dynamic Modified Stochastic p-Median Problem (DMS-p-MP) is an important problem in supply chain network design, as it deals with the optimal location of facilities and the allocation of demand in a dynamic and uncertain environment. M...

(This article belongs to the Topic Sustainable Transport Systems and New Mobility Services: Challenges and Solutions, 2nd Volume)
  • Article
  • Open Access
1 Citations
1,933 Views
23 Pages

A Sequential Optimization Approach for the Vehicle and Crew Scheduling Problem of a Fleet of Electric Buses

  • Katholiki Triommati,
  • Dimitrios Rizopoulos,
  • Marilena Merakou and
  • Konstantinos Gkiotsalitis

2 September 2025

The growing adoption of electric buses in public transport has intensified the need for efficient scheduling algorithms. In the context of tactical planning, public transport operators must address two interdependent scheduling problems: the Single D...

  • Article
  • Open Access
1 Citations
2,404 Views
19 Pages

The Unit Re-Balancing Problem

  • Robin Dee,
  • Armin Fügenschuh and
  • George Kaimakamis

11 December 2021

We describe the problem of re-balancing a number of units distributed over a geographic area. Each unit consists of a number of components. A value between 0 and 1 describes the current rating of each component. By a piecewise linear function, this v...

(This article belongs to the Section E: Applied Mathematics)
  • Article
  • Open Access
19 Citations
5,136 Views
25 Pages

5 December 2022

Electric vehicles (EVs) are a promising option to reduce air pollution and shipping costs, especially in urban areas. To provide scientific guidance for the growing number of logistics companies using EVs, we investigated an electric-vehicle-routing...

(This article belongs to the Special Issue Energy Saving in Traffic Infrastructure)
  • Article
  • Open Access
18 Citations
4,894 Views
22 Pages

A Mixed-Integer Linear Programming Model for Addressing Efficient Flexible Flow Shop Scheduling Problem with Automatic Guided Vehicles Consideration

  • Dekun Wang,
  • Hongxu Wu,
  • Wengang Zheng,
  • Yuhao Zhao and ,
  • Guangdong Tian,
  • Wenjie Wang and
  • Dong Chen
  • + 2 authors+ 0 author

13 March 2025

With the development of Industry 4.0, discrete manufacturing systems are accelerating their transformation toward flexibility and intelligence to meet the market demand for various products and small-batch production. The flexible flow shop (FFS) par...

(This article belongs to the Section Computing and Artificial Intelligence)
  • Feature Paper
  • Article
  • Open Access
30 Citations
6,992 Views
15 Pages

The rapid increase in international trade volume has caused frequent fluctuation of the vessels’ arrival time in container terminals. In order to solve this problem, this study proposes a methodology for rescheduling berth and quay cranes caused by u...

(This article belongs to the Special Issue The Strategy of Smart Port)
  • Article
  • Open Access
17 Citations
5,497 Views
15 Pages

Mixed-integer linear programming is adopted to translate the routing of service operation vessels that support the logistic aspects of the maintenance of offshore floating wind farms into mathematical language. The models attempt to help the decision...

(This article belongs to the Special Issue Offshore Wind Energy)
  • Article
  • Open Access
5 Citations
3,036 Views
15 Pages

A Bender’s Algorithm of Decomposition Used for the Parallel Machine Problem of Robotic Cell

  • Mohammad Reza Komari Alaei,
  • Mehmet Soysal,
  • Atabak Elmi,
  • Audrius Banaitis and ,
  • Nerija Banaitiene,
  • Reza Rostamzadeh and
  • Shima Javanmard
  • + 2 authors+ 0 author

22 July 2021

The present research addresses the single transportation robot used to alleviate problems of robotic cell scheduling of the machines. For the purpose of minimizing the make-span, a model of mixed-integer linear programming (MILP) has been suggested....

  • 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
13 Citations
4,670 Views
19 Pages

11 October 2024

This article presents methods of planning unmanned aerial vehicle (UAV) missions in which individual platforms work together during the reconnaissance of objects located within a terrain. The planning problem concerns determining the flight routes of...

  • 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
13 Citations
3,914 Views
31 Pages

Optimization of the Collaborative Hub Location Problem with Metaheuristics

  • Mohamed Amine Gargouri,
  • Nadia Hamani,
  • Nassim Mrabti and
  • Lyes Kermad

30 October 2021

By creating new job opportunities and developing the regional economy, the transport of goods generates significant costs, environmental and sanitary nuisances, and high greenhouse gas (GHG) emissions. In this context, collaboration is an interesting...

(This article belongs to the Section E2: Control Theory and Mechanics)
  • Article
  • Open Access
4 Citations
3,307 Views
16 Pages

The Machine-Part Cell Formation Problem with Non-Binary Values: A MILP Model and a Case of Study in the Accounting Profession

  • Jose Joaquin del Pozo-Antúnez,
  • Francisco Fernández-Navarro,
  • Horacio Molina-Sánchez,
  • Antonio Ariza-Montes and
  • Mariano Carbonero-Ruz

27 July 2021

The traditional machine-part cell formation problem simultaneously clusters machines and parts in different production cells from a zero–one incidence matrix that describes the existing interactions between the elements. This manuscript explores a no...

(This article belongs to the Special Issue Application of Mathematical Methods to Economics, Management, Finance and Social Problems)
  • Article
  • Open Access
608 Views
19 Pages

14 May 2026

This paper investigates a transportation service procurement problem for truckload operations within a combinatorial auction framework. In practice, conventional clock auctions may suffer from slow convergence and inefficient allocation when the numb...

(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)
  • Article
  • Open Access
7 Citations
7,168 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
6 Citations
2,821 Views
29 Pages

13 September 2022

In this paper, a manufacturing process for a single-server permutation Flow Shop Scheduling Problem with sequence dependant, disjoint setups and makespan minimization is considered. The full problem is divided into two levels, and the lower level, ai...

(This article belongs to the Section Manufacturing Processes and Systems)
  • Article
  • Open Access
12 Citations
4,201 Views
27 Pages

19 September 2021

In this paper, we propose robust optimisation models for the distribution network design problem (DNDP) to deal with uncertainty cases in a collaborative context. The studied network consists of collaborative suppliers who satisfy their customers’ ne...

(This article belongs to the Special Issue Mathematical Models and Exact and Heuristic Algorithms for Solving Complex Optimization Problems)
  • Article
  • Open Access
5 Citations
4,988 Views
17 Pages

Mathematical Programming Formulations for the Berth Allocation Problems in Container Seaport Terminals

  • Awad M. Aljuaid,
  • Mayssa Koubâa,
  • Mohamed Haykal Ammar,
  • Karim Kammoun and
  • Wafik Hachicha

Background: Improving the performance of marine terminals is one of the major concerns of both researchers and decision-makers in the maritime transportation sector. The problem of container storage planning and the berth allocation problem (BAP) are...

(This article belongs to the Special Issue Optimizations and Operations Management of Modern Logistic Systems and Supply Chains)
  • Article
  • Open Access
1 Citations
1,795 Views
47 Pages

8 February 2026

This paper addresses the Pickup and Delivery Problem with Time Windows (PDPTW), an NP-hard combinatorial optimization problem with major practical relevance in logistics and transportation. The study focuses on a quadratic unconstrained binary optimi...

(This article belongs to the Special Issue Future Horizons in Multi-Agent Systems: Pioneering Trends and Breakthrough Innovations)
  • Article
  • Open Access
5 Citations
4,881 Views
15 Pages

Modeling the Capacitated Multi-Level Lot-Sizing Problem under Time-Varying Environments and a Fix-and-Optimize Solution Approach

  • Meng You,
  • Yiyong Xiao,
  • Siyue Zhang,
  • Shenghan Zhou and ,
  • Pei Yang and
  • Xing Pan
  • + 1 author+ 0 author

7 April 2019

In this study, we investigated the time-varying capacitated lot-sizing problem under a fast-changing production environment, where production factors such as the setup costs, inventory-holding costs, production capacities, or even material prices may...

(This article belongs to the Section Complexity)
  • Article
  • Open Access
26 Citations
5,644 Views
21 Pages

A Novel Hybrid Simulated Annealing for No-Wait Open-Shop Surgical Case Scheduling Problems

  • Amin Rahimi,
  • Seyed Mojtaba Hejazi,
  • Mostafa Zandieh and
  • Mirpouya Mirmozaffari

In this paper, the problem of finding an assignment of “n” surgeries to be presented in one of “m” identical operating rooms (ORs) or machines as the surgical case scheduling problem (SCSP) is proposed. Since ORs are among NP-...

  • Feature Paper
  • Article
  • Open Access
21 Citations
4,287 Views
12 Pages

Risk-Constrained Optimal Chiller Loading Strategy Using Information Gap Decision Theory

  • Er Shi,
  • Farkhondeh Jabari,
  • Amjad Anvari-Moghaddam,
  • Mousa Mohammadpourfard and
  • Behnam Mohammadi-ivatloo

10 May 2019

This paper presents a novel framework for economic cooling load dispatch in conventional water-cooled chillers. Moreover, information gap decision theory (IGDT) is applied to the optimal chiller loading (OCL) problem to find the optimum operating poi...

(This article belongs to the Special Issue Sustainable Energy Systems Planning, Integration and Management)
  • Article
  • Open Access
35 Citations
6,167 Views
19 Pages

A Clustering Approach for the Optimal Siting of Recharging Stations in the Electric Vehicle Routing Problem with Time Windows

  • Danny García Sánchez,
  • Alejandra Tabares,
  • Lucas Teles Faria,
  • Juan Carlos Rivera and
  • John Fredy Franco

24 March 2022

Transportation has been incorporating electric vehicles (EVs) progressively. EVs do not produce air or noise pollution, and they have high energy efficiency and low maintenance costs. In this context, the development of efficient techniques to overco...

(This article belongs to the Special Issue Energy Transition: Decentralization, Electric Vehicles, and Local Energy Markets)
  • Article
  • Open Access
1 Citations
2,380 Views
38 Pages

20 November 2025

Large-scale Aircraft Routing Problems (ARPs) remain challenging for standard Branch-and-Bound (B&B) and modern Mixed-Integer Linear Programming (MILP) solvers due to vast search spaces and instance-agnostic heuristics. Methods: We develop a learn...

(This article belongs to the Special Issue AI, Machine Learning and Automation for Air Traffic Control (ATC))
  • Article
  • Open Access
22 Citations
6,701 Views
20 Pages

An Energy-Efficient Logistic Drone Routing Method Considering Dynamic Drone Speed and Payload

  • Kunpeng Wu,
  • Shaofeng Lu,
  • Haoqin Chen,
  • Minling Feng and
  • Zenghao Lu

12 June 2024

Unmanned aerial vehicles (UAVs), or drones, are recognized for their potential to improve efficiency in last-mile delivery. Unlike the vehicle routing problem, drone route design is challenging due to several operational signatures, such as speed opt...

(This article belongs to the Section Sustainable Engineering and Science)
  • Article
  • Open Access
6 Citations
3,449 Views
22 Pages

The idea of this paper comes from the need for a practical layout design for the subsea pipe line network and the power transmission network of offshore wind farms with subsea cables, which are both subsea transmission networks with line-shaped condu...

(This article belongs to the Topic Advances in Intelligent Construction, Operation and Maintenance)
  • Article
  • Open Access
2 Citations
1,769 Views
29 Pages

4 September 2025

This study tries to make some improvements in the order picking operations by offering a novel mathematical model and efficient solution algorithm. Accordingly, the order picking policies are examined to allow for picking more orders by reducing the...

(This article belongs to the Section Supply Chain Management)
  • Article
  • Open Access
3 Citations
3,640 Views
23 Pages

The maritime inventory routing problem (MIRP) integrates vessel routing and inventory management over a planning horizon to optimize logistical operations in marine environments. While existing models predominantly address short-term planning with si...

(This article belongs to the Special Issue Maritime Logistics and Green Shipping)
  • Article
  • Open Access
7 Citations
5,072 Views
16 Pages

13 January 2024

This paper presents a novel eight-step iterative algorithm for optimizing the layout of a neighborhood, focusing on the efficient allocation of houses to strategically placed facilities, herein referred to as ’points of interest’. The met...

(This article belongs to the Section Architectural Design, Urban Science, and Real Estate)
  • Article
  • Open Access
3 Citations
3,759 Views
17 Pages

Dynamic Gaming Case of the R-Interdiction Median Problem with Fortification and an MILP-Based Solution Approach

  • Yiyong Xiao,
  • Pei Yang,
  • Siyue Zhang,
  • Shenghan Zhou and ,
  • Wenbing Chang and
  • Yue Zhang
  • + 1 author+ 0 author

13 January 2020

This paper studies the cyclic dynamic gaming case of the r-interdiction median problem with fortification (CDGC-RIMF), which is important for strengthening a facility’s reliability and invulnerability under various possible attacks. We formulat...

(This article belongs to the Special Issue Operational Research Tools for Solving Sustainable Engineering Problems)
  • Article
  • Open Access
358 Views
30 Pages

Multi-Stage Tower-Crane Layout Optimization Incorporating Relocation Penalties and Operational Constraints

  • Hao-Chen Shen,
  • Li-Shan Xu,
  • Kai Jiang,
  • Wen-Qi Wang and ,
  • Yong Xia,
  • Ru-Xin Lu and
  • Chun Huang
  • + 2 authors+ 0 author

10 September 2026

Tower-crane layout planning becomes challenging when deployment decisions are coupled across construction stages. This study develops a dynamic multi-stage mixed-integer linear programming (MILP) model that jointly determines crane type, number, and...

(This article belongs to the Special Issue Construction and Building Technology: Latest Advances and Prospects)
  • Article
  • Open Access
7 Citations
2,380 Views
18 Pages

15 April 2023

This paper deals with a variant of the multifacility location-routing problem in urban areas. The distribution network is modelled by an undirected graph, in which the nodes are split into a set of pickup-delivery stations, a depot, and a set of cust...

(This article belongs to the Special Issue Combinatorial Optimization and Applications)
  • Article
  • Open Access
10 Citations
4,623 Views
27 Pages

4 January 2023

A rescheduling algorithm for trains on a single-track railway was developed in case of disturbances that would cause conflicts between trains. This algorithm is based on mixed integer linear programming (MILP) with speed-up routines. The model consid...

(This article belongs to the Section Civil Engineering)
  • Proceeding Paper
  • Open Access
1,005 Views
9 Pages

This paper presents a two-stage stochastic unit commitment model to mitigate the costs and reliability effects of high wind energy penetration into the power system. Wind energy variability/uncertainty is explored through this system. Mixed-integer l...

(This article belongs to the Proceedings of The 34th Southern African Universities Power Engineering Conference (SAUPEC 2026))
  • Article
  • Open Access
9 Citations
5,159 Views
15 Pages

9 January 2022

Techniques and methods of linear optimization underwent a significant improvement in the 20th century which led to the development of reliable mixed integer linear programming (MILP) solvers. It would be useful if these solvers could handle mixed int...

(This article belongs to the Special Issue Development and Optimization of Mathematical Models for Operations Research)
  • Article
  • Open Access
510 Views
22 Pages

MIPLP: A Mixed-Integer Piecewise-Linear Programming Path-Planning Approach for the Three-Point Reeds–Shepp Problem

  • Xing Zhou,
  • Wenxin Zhang,
  • Lin Li,
  • Hao Gao and ,
  • Daqiang Zhang,
  • Zhen Zhang,
  • Zhaoqing Li and
  • Qijiao Lei
  • + 3 authors+ 0 author

25 May 2026

This paper studies an inspection path-planning task for cross-domain platforms, in which a Reeds–Shepp unmanned surface vehicle (USV) must plan the shortest curvature-constrained path from the starting configuration (e.g., the USV depot) to the...

(This article belongs to the Special Issue Advanced Cross-Domain Unmanned Platform Command and Security Technology: 2nd Edition)
  • Article
  • Open Access
15 Citations
5,366 Views
24 Pages

6 February 2023

In recent years, there has been a tremendous increase in environmental awareness, due to concerns about sustainability. Designing an efficient supply chain network that fulfills the expectation of both business owners and customers and, at the same t...

(This article belongs to the Special Issue Sustainable Perspectives: Green Operations Management and Supply Chain)
  • Article
  • Open Access
24 Citations
6,134 Views
30 Pages

20 October 2022

Sustainable supply chains depend on three critical decisions: production, inventory management, and distribution with reverse flows. To achieve an effective level of operational performance, policymakers must consider all these decisions, especially...

(This article belongs to the Special Issue Advances in Operations and Supply Chain Management with Sustainability Considerations)
  • Article
  • Open Access
6 Citations
2,337 Views
15 Pages

19 September 2022

This paper presents a logistics problem, related to the transport of goods, which can be applied in practice, for example, in postal or courier services. Two mathematical models are presented as problems occurring in a logistics network. The main obj...

(This article belongs to the Special Issue Metaheuristics for Real-World Optimization Problems)
  • Article
  • Open Access
9 Citations
4,741 Views
22 Pages

28 December 2023

Integrated access and backhaul (IAB) networks offer transformative benefits, primarily their deployment flexibility in locations where fixed backhaul faces logistical or financial challenges. This flexibility is further enhanced by IAB’s inherent abi...

(This article belongs to the Section Information Applications)
  • Article
  • Open Access
4 Citations
2,600 Views
11 Pages

Global Optimization for Mixed–Discrete Structural Design

  • Jung-Fa Tsai,
  • Ming-Hua Lin and
  • Duan-Yi Wen

16 September 2020

Several structural design problems that involve continuous and discrete variables are very challenging because of the combinatorial and non-convex characteristics of the problems. Although the deterministic optimization approach theoretically guarant...

  • Communication
  • Open Access
19 Citations
4,332 Views
15 Pages

An Optimal Routing Algorithm for Unmanned Aerial Vehicles

  • Sooyeon Kim,
  • Jae Hyun Kwak,
  • Byoungryul Oh,
  • Da-Han Lee and
  • Duehee Lee

9 February 2021

A delivery service using unmanned aerial vehicles (UAVs) has potential as a future business opportunity, due to its speed, safety and low-environmental impact. To operate a UAV delivery network, a management system is required to optimize UAV deliver...

(This article belongs to the Special Issue Time-Sensitive Networks for Unmanned Aircraft Systems)
  • Article
  • Open Access
2 Citations
5,515 Views
22 Pages

11 November 2015

In this article, we investigate the Minimum Cardinality Segmentation Problem (MCSP), an NP-hard combinatorial optimization problem arising in intensity-modulated radiation therapy. The problem consists in decomposing a given nonnegative integer matri...

(This article belongs to the Special Issue Algorithmic Themes in Bioinformatics)
  • Feature Paper
  • Article
  • Open Access
4 Citations
4,772 Views
16 Pages

2 October 2020

Correct planning is crucial for efficient production and best quality of products. The planning processes are commonly supported with computer solutions; however manual interactions are commonly needed, as sometimes the problems do not fit the genera...

(This article belongs to the Special Issue Expanding the Horizons of Manufacturing: Towards Wide Integration, Smart Systems and Tools)
  • Article
  • Open Access
3 Citations
2,609 Views
13 Pages

3 March 2022

This paper introduces a new variant of the Shortest Path Problem (SPP) called the Cost-Balanced Path Problem (CBPP). Various real problems can either be modeled as BCPP or include BCPP as a sub-problem. We prove several properties related to the comp...

(This article belongs to the Special Issue Mathematical Optimization and Evolutionary Algorithms with Applications)
  • 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...

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