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The Capacitated Vehicle Routing Problem with Time Windows (CVRPTW) is a fundamental NP-hard optimization problem in logistics. Solving large-scale instances remains computationally challenging for exact solvers. This paper introduces a…

Artificial Intelligence · Computer Science 2026-04-14 Mustafa Mert Özyılmaz

This paper attempts to solve the famous Vehicle Routing Problem by considering multiple constraints including capacitated vehicles, single depot, and distance using two approaches namely, cluster first and route the second algorithm and…

Data Structures and Algorithms · Computer Science 2022-08-02 Apurv Choudhari , Ameya Ekbote , Prerona Chaudhuri

Capacitated vehicle routing problem (CVRP) is being one of the most common optimization problems in our days, considering the wide usage of routing algorithms in multiple fields such as transportation domain, food delivery, network routing,…

Artificial Intelligence · Computer Science 2021-12-28 Hassan Moussa

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

The capacitated Vehicle Routing Problem with structured Time Windows (cVRPsTW) is concerned with finding optimal tours for vehicles with given capacity constraints to deliver goods to customers within assigned time windows. In our problem…

Optimization and Control · Mathematics 2019-10-10 Christoph Hertrich , Philipp Hungerländer , Christian Truden

Efficiently solving a vehicle routing problem (VRP) in a practical runtime is a critical challenge for delivery management companies. This paper explores both a theoretical and experimental connection between the Capacitated Vehicle Routing…

Optimization and Control · Mathematics 2024-03-22 Abdelhakim Abdellaoui , Loubna Benabbou , Issmail El Hallaoui

The Dynamic Vehicle Routing Problem with Time Windows (DVRPTW) is an extension of the well-known Vehicle Routing Problem (VRP), which takes into account the dynamic nature of the problem. This aspect requires the vehicle routes to be…

Neural and Evolutionary Computing · Computer Science 2017-04-07 Raluca Necula , Mihaela Breaban , Madalina Raschip

The well-known Vehicle Routing Problem with Time Windows (VRPTW) aims to reduce the cost of moving goods between several destinations while accommodating constraints like set time windows for certain locations and vehicle capacity.…

Neural and Evolutionary Computing · Computer Science 2023-06-06 Gautam Siddharth Kashyap , Alexander E. I. Brownlee , Orchid Chetia Phukan , Karan Malik , Samar Wazir

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 this research, we propose an iterative learning hybrid optimization solver developed to strengthen the performance of metaheuristic algorithms in solving the Capacitated Vehicle Routing Problem (CVRP). The iterative hybrid mechanism…

Artificial Intelligence · Computer Science 2025-08-13 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux , Daniele Vigo

The Capacitated Vehicle Routing Problem (CVRP) is an NP-optimization problem (NPO) that has been of great interest for decades for both, science and industry. The CVRP is a variant of the vehicle routing problem characterized by capacity…

The Vehicle Routing Problem with Time-Windows (VRPTW) is an important problem in allocating resources on networks in time and space. We present in this paper a Deterministic Annealing (DA)-based approach to solving the VRPTW with its…

Optimization and Control · Mathematics 2016-04-14 Mayank Baranwal , Pratik M. Parekh , Lavanya Marla , Srinivasa M. Salapaka , Carolyn L. Beck

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

The dynamic vehicle routing problem with time windows (DVRPTW) is a generalization of the classical VRPTW to an online setting, where customer data arrives in batches and real-time routing solutions are required. In this paper we adapt the…

Neural and Evolutionary Computing · Computer Science 2023-07-27 Mohammed Ghannam , Ambros Gleixner

In real life, providing security for a set of large areas by covering the area with Unmanned Aerial Vehicles (UAVs) is a difficult problem that consist of multiple objectives. These difficulties are even greater if the area coverage must…

Artificial Intelligence · Computer Science 2020-03-17 Fatih Semiz , Faruk Polat

In many applications of vehicle routing, a set of time windows are feasible for each visit, giving rise to the Vehicle Routing Problem with Multiple Time Windows (VRPMTW). We argue that such disjunctions are problematic for many solution…

Optimization and Control · Mathematics 2019-05-13 Rune Larsen , Dario Pacino

The vehicle routing problem is a well known class of NP-hard combinatorial optimisation problems in literature. Traditional solution methods involve either carefully designed heuristics, or time-consuming metaheuristics. Recent work in…

Artificial Intelligence · Computer Science 2022-06-15 Harshad Khadilkar

This paper presents a parallel memetic algorithm for solving the vehicle routing problem with time windows (VRPTW). The VRPTW is a well-known NP-hard discrete optimization problem with two objectives. The main objective is to minimize the…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-02-28 Jakub Nalepa , Zbigniew J. Czech

The Capacitated Vehicle Routing Problem is a well-known NP-hard problem that poses the challenge of finding the optimal route of a vehicle delivering products to multiple locations. Recently, new efforts have emerged to create constructive…

With the rise of e-commerce and increasing customer requirements, logistics service providers face a new complexity in their daily planning, mainly due to efficiently handling same day deliveries. Existing multi-stage stochastic…

Optimization and Control · Mathematics 2023-04-04 Léo Baty , Kai Jungel , Patrick S. Klein , Axel Parmentier , Maximilian Schiffer
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