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We consider the vehicle routing problem with stochastic demands (VRPSD), a stochastic variant of the well-known VRP in which demands are only revealed upon arrival of the vehicle at each customer. Motivated by the significant recent…

Optimization and Control · Mathematics 2023-02-07 Alexandre M. Florio , Michel Gendreau , Richard F. Hartl , Stefan Minner , Thibaut Vidal

Heavy goods vehicles are vital backbones of the supply chain delivery system but also contribute significantly to carbon emissions with only 60% loading efficiency in the United Kingdom. Collaborative vehicle routing has been proposed as a…

Machine Learning · Computer Science 2024-06-12 Stefan Schoepf , Stephen Mak , Julian Senoner , Liming Xu , Netland Torbjörn , Alexandra Brintrup

The Capacitated Vehicle Routing Problem with Time Windows (CVRPTW) is a classic NP-hard combinatorial optimization problem widely applied in logistics distribution and transportation management. Its complexity stems from the constraints of…

Machine Learning · Computer Science 2025-07-22 Linjiang Cao , Maonan Wang , Xi Xiong

Vehicle routing problem (VRP) is a typical discrete combinatorial optimization problem, and many models and algorithms have been proposed to solve the VRP and its variants. Although existing approaches have contributed a lot to the…

Machine Learning · Computer Science 2022-02-22 Bingjie Li , Guohua Wu , Yongming He , Mingfeng Fan , Witold Pedrycz

The Electric Vehicle Routing Problem (EVRP) extends the classical Vehicle Routing Problem (VRP) to reflect the growing use of electric and hybrid vehicles in logistics. Due to the variety of constraints considered in the literature,…

Artificial Intelligence · Computer Science 2025-11-14 David Woller , Viktor Kozák , Miroslav Kulich , Libor Přeučil

Truck platooning, a linking technology of trucks on the highway, has gained enormous attention in recent years due to its benefits in energy and operation cost savings. However, most existing studies on truck platooning limit their focus on…

Optimization and Control · Mathematics 2024-04-23 Yilang Hao , Zhibin Chen , Xiaotong Sun , Lu Tong

The Vehicle Fleet Sizing, Positioning and Routing Problem with Stochastic Customers (VFSPRP-SC) consists on pairing strategic decisions of depot positioning and fleet sizing with operational vehicle routing decisions while taking into…

Optimization and Control · Mathematics 2021-09-21 David Corredor-Montenegro , Maria Jose Consuegra-Laino , Alfaima Lucía Solano-Blanco , Camilo Gómez

We present a two-level decomposition strategy for solving the Vehicle Routing Problem (VRP) using the Quantum Approximate Optimization Algorithm. A Problem-Level Decomposition partitions a 13-node (156-qubit) VRP into smaller Traveling…

Quantum Physics · Physics 2025-07-09 Andrew Maciejunes , John Stenger , Dan Gunlycke , Nikos Chrisochoides

Ising machines are expected to solve combinatorial optimization problems faster than the existing integer programming solvers. These problems, particularly those encountered in practical situations, typically involve inequality constraints.…

Statistical Mechanics · Physics 2024-11-05 Hiroshi Kanai , Masashi Yamashita , Kotaro Tanahashi , Shu Tanaka

The Capacitated Vehicle Routing Problem (CVRP) is a fundamental NP-hard problem in logistics. Augmented Lagrangian Methods (ALM) for solving CVRP performance depends heavily on well-tuned penalty parameters. In this paper, we propose a…

Physics and Society · Physics 2025-09-22 Monit Sharma , Hoong Chuin Lau

The traditional Capacitated Vehicle Routing Problem (CVRP) minimizes the total distance of the routes under the capacity constraints of the vehicles. But more often, the objective involves multiple criteria including not only the total…

Machine Learning · Computer Science 2021-08-31 Jayanta Mandi , Rocsildes Canoy , Víctor Bucarey , Tias Guns

Transportation occupies one-third of the amount in the logistics costs, and accordingly transportation systems largely influence the performance of the logistics system. This work presents an adaptive data-driven innovative modular approach…

Artificial Intelligence · Computer Science 2020-01-08 Emir Zunic , Dzenana Donko , Emir Buza

In modern logistics management systems, route planning requires high efficiency. The Open Capacitated Vehicle Routing Problem (OCVRP) deals with finding optimal delivery routes for a fleet of vehicles serving geographically distributed…

Computation and Language · Computer Science 2025-10-01 Assem Omar , Youssef Omar , Marwa Solayman , Hesham Mansour

The paper addresses Capacitated Vehicle Routing Problem (CVRP) in the context of fuel delivery to gas stations. The CVRP aims to minimize total travel distance for a fleet with limited capacity. Fuel delivery, however, introduces unique…

Optimization and Control · Mathematics 2024-12-13 Vitalii Naumov

Simultaneous multi vibroseis vehicle operations are central to modern land seismic exploration and can be modeled as a Vehicle Routing Problem (VRP). A critical distinction from classical VRPs, however, is the need for a minimum start-time…

Optimization and Control · Mathematics 2025-08-11 Kexin Zhu , Jialong Shi , Jianyong Sun , Heng Zhou , Mingen Kuang , Ye Fan

In the last decades, the classical Vehicle Routing Problem (VRP), i.e., assigning a set of orders to vehicles and planning their routes has been intensively researched. As only the assignment of order to vehicles and their routes is already…

Neural and Evolutionary Computing · Computer Science 2022-01-13 Veronika Lesch , Maximilian König , Samuel Kounev , Anthony Stein , Christian Krupitzer

We propose a brand-new formulation of capacitated vehicle routing problem (CVRP) as quadratic unconstrained binary optimization (QUBO). The formulated CVRP is equipped with time-table which describes time-evolution of each vehicle.…

This paper proposes a quantum algorithm for the capacitated vehicle routing problem with time windows (CVRPTW) based on Grover Search framework. This problem is often faced by Postal services in the context of package delivery or other…

Optimization and Control · Mathematics 2026-05-19 Imran Meghazi , Éric Bourreau

In most Swiss municipalities, a curbside system consisting of heavy trucks stopping at almost each household is used for non-recoverable waste collection. Due to the many stops of the trucks, this strategy causes high fuel consumption,…

Optimization and Control · Mathematics 2022-09-09 V. Fischer , M. Pacheco Paneque , A. Legrain , R. Bürgy

SNCF, the French public train company, is experimenting to develop new types of transportation services by tackling vehicle routing problems. While many deep learning models have been used to tackle efficiently vehicle routing problems, it…

Artificial Intelligence · Computer Science 2023-01-11 Baptiste Rabecq , Rémy Chevrier
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