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We give a probabilistic analysis of the unit-demand Euclidean capacitated vehicle routing problem in the random setting, where the input distribution consists of $n$ unit-demand customers modeled as independent, identically distributed…

Data Structures and Algorithms · Computer Science 2021-12-14 Claire Mathieu , Hang Zhou

Unmanned aerial vehicles or drones are becoming increasingly popular due to their low cost and high mobility. In this paper we address the routing and coordination of a drone-truck pairing where the drone travels to multiple locations to…

Discrete Mathematics · Computer Science 2022-03-16 Fanruiqi Zeng , Zaiwei Chen , John-Paul Clarke , David Goldsman

When vehicle routing decisions are intertwined with higher-level decisions, the resulting optimization problems pose significant challenges for computation. Examples are the multi-depot vehicle routing problem (MDVRP), where customers are…

Neural and Evolutionary Computing · Computer Science 2024-09-10 Abhay Sobhanan , Junyoung Park , Jinkyoo Park , Changhyun Kwon

Multi-depot vehicle routing problems (MDVRPs) are prevalent in a variety of practical applications. However, they are computationally challenging to solve due to their inherent complexity. This paper proposes an effective hybrid algorithm…

Robotics · Computer Science 2026-05-08 Zhenyu Lei , Jin-Kao Hao

The increasing adoption of Electric Vehicles (EVs) for service and goods distribution operations has led to the emergence of Electric Vehicle Routing Problems (EVRPs), a class of vehicle routing problems addressing the unique challenges…

Optimization and Control · Mathematics 2025-12-04 Andrea Spinelli , Dario Bezzi , Ola Jabali , Francesca Maggioni

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

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

We consider a family of Rich Vehicle Routing Problems (RVRP) which have the particularity to combine a heterogeneous fleet with other attributes, such as backhauls, multiple depots, split deliveries, site dependency, open routes, duration…

Optimization and Control · Mathematics 2018-03-07 Puca Huachi Vaz Penna , Anand Subramanian , Luiz Satoru Ochi , Thibaut Vidal , Christian Prins

This paper introduces the Capacitated Covering Salesman Problem (CCSP), approaching the notion of service by coverage in capacitated vehicle routing problems. In CCSP, locations where vehicles can transit are provided, some of which have…

Artificial Intelligence · Computer Science 2024-03-13 Lucas Porto Maziero , Fábio Luiz Usberti , Celso Cavellucci

The worldwide growth of e-commerce has created new challenges for logistics companies, one of which is being able to deliver products quickly and at low cost, which reflects directly in the way of sorting packages, needing to eliminate…

This paper presents a new branch-and-cut algorithm based on infeasible path elimination for the three-dimensional loading capacitated vehicle routing problem (3L-CVRP) with different loading problem variants. We show that a previously…

Optimization and Control · Mathematics 2024-02-26 Felix Tamke , Florian Linß , Leopold Kuttner , Udo Buscher

In this paper, we study the Maximum-Profit Routing Problem with Variable Supply (MPRP-VS). This is a more general version of the Maximum-Profit Public Transportation Route Planning Problem, or simply Maximum-Profit Routing Problem (MPRP),…

Data Structures and Algorithms · Computer Science 2020-07-21 Bogdan Armaselu

We investigate the problem of coordinating multiple automated vehicles (AVs) in confined areas. This problem can be formulated as an optimal control problem (OCP) where the motion of the AVs is optimized such that collisions are avoided in…

Optimization and Control · Mathematics 2022-10-28 Stefan Kojchev , Robert Hult , Jonas Fredriksson

Ready Mixed Concrete Delivery Problem (RMCDP) is a multi-objective multi-constraint dynamic combinatorial optimization problem. From the operational research prospective, it is a real life logistic problem that is hard to be solved with…

Data Structures and Algorithms · Computer Science 2018-10-29 Mohamed Masoud , Saeid Belkasim

The split delivery vehicle routing problem (SDVRP) is a relaxed variant of the capacitated vehicle routing problem (CVRP) where the restriction that each customer is visited precisely once is removed. Compared with CVRP, the SDVRP allows a…

Systems and Control · Electrical Eng. & Systems 2023-09-01 Nariman Torkzaban , Anousheh Gholami , John S. Baras , Bruce Golden

Learning to solve combinatorial optimization problems, such as the vehicle routing problem, offers great computational advantages over classical operations research solvers and heuristics. The recently developed deep reinforcement learning…

Machine Learning · Computer Science 2022-01-06 Daniela Thyssens , Jonas Falkner , Lars Schmidt-Thieme

Recently, machine learning of the branch and bound algorithm has shown promise in approximating competent solutions to NP-hard problems. In this paper, we utilize and comprehensively compare the outcomes of three neural networks--graph…

Machine Learning · Computer Science 2023-10-18 Andrew Naguib , Waleed A. Yousef , Issa Traoré , Mohammad Mamun

The Capacitated Arc Routing Problem (CARP) occurs in applications like urban waste collection or winter gritting. It is usually defined in literature on an undirected graph , with a set of nodes and a set of edges. A fleet of identical…

Optimization and Control · Mathematics 2022-11-15 Fleury Gérard , Lacomme Philippe , Prins Christian , Sevaux Marc

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

This paper studies a variant of the Set Covering Routing Problem (SCRP) motivated by post-disaster humanitarian logistics. We consider a hybrid distribution concept in which the majority of transportation is performed by helicopters, while…

Optimization and Control · Mathematics 2026-05-05 Andreas Hagn , Jan Krause , Moritz Stargalla , Lorenza Moreno
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