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Branch-price-and-cut is the state-of-the-art exact method for solving many types of vehicle routing problems, and is particularly effective for vehicle routing problems with time windows. A well-known challenge in branch-price-and-cut is…

Optimization and Control · Mathematics 2026-02-11 Lukas Eveborn , Elina Rönnberg

We present an optimization strategy to reduce the execution time of liquid handling operations in the context of an automated chemical laboratory. By formulating the task as a capacitated vehicle routing problem (CVRP), we leverage…

Optimization and Control · Mathematics 2025-06-04 Guangqi Wu , Runzhong Wang , Connor W. Coley

We give a polynomial time approximation scheme (PTAS) for the unit demand capacitated vehicle routing problem (CVRP) on trees, for the entire range of the tour capacity. The result extends to the splittable CVRP.

Data Structures and Algorithms · Computer Science 2022-04-12 Claire Mathieu , Hang Zhou

Given an undirected graph with edge costs and edge demands, the Capacitated Arc Routing problem (CARP) asks for minimum-cost routes for equal-capacity vehicles so as to satisfy all demands. Constant-factor polynomial-time approximation…

Data Structures and Algorithms · Computer Science 2014-07-15 René van Bevern , Sepp Hartung , André Nichterlein , Manuel Sorge

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…

We present an end-to-end framework for solving the Vehicle Routing Problem (VRP) using reinforcement learning. In this approach, we train a single model that finds near-optimal solutions for problem instances sampled from a given…

Artificial Intelligence · Computer Science 2018-05-23 Mohammadreza Nazari , Afshin Oroojlooy , Lawrence V. Snyder , Martin Takáč

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

We consider the vehicle routing problem with stochastic demands (VRPSD) on tree structured networks with a single depot. The problem we are concerned with in this paper is to find a set of tours for the vehicle with minimum expected length.…

Data Structures and Algorithms · Computer Science 2013-04-23 Shalabh Vidyarthi , Kaushal K Shukla

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

Automated guided vehicles (AGVs) are widely used in various industries, and scheduling and routing them in a conflict-free manner is crucial to their efficient operation. We propose a loop-based algorithm that solves the online,…

Computational Engineering, Finance, and Science · Computer Science 2026-03-10 Louis Stubbe , Jens Goemaere , Jan Goedgebeur

This paper is the fruit of a partnership with Renault. Their backward logistic requires solving a continent-scale multi-attribute inventory routing problem (IRP). With an average of 30 commodities, 16 depots, and 600 customers spread across…

Optimization and Control · Mathematics 2023-10-02 Louis Bouvier , Guillaume Dalle , Axel Parmentier , Thibaut Vidal

This paper introduces a novel compact mixed integer linear programming (MILP) formulation and a discretization discovery-based solution approach for the Vehicle Routing Problem with Time Windows (VRPTW). We aim to solve the optimization…

Optimization and Control · Mathematics 2024-03-04 Udayan Mandal , Amelia Regan , Louis Martin Rousseau , Julian Yarkony

We investigate the capacitated vehicle routing problem (CVRP) under a robotics context, where a vehicle with limited payload must complete delivery (or pickup) tasks to serve a set of geographically distributed customers with varying…

Robotics · Computer Science 2021-07-27 Kai Gao , Jingjin Yu

Arc-routing problems underpin numerous critical field operations, including power-line inspection, urban police patrolling, and traffic monitoring. In this domain, the Rural Postman Problem (RPP) is a fundamental variant in which a…

Neural and Evolutionary Computing · Computer Science 2025-08-26 Abhay Sobhanan , Hadi Charkhgard , Changhyun Kwon

Aircraft routing and crew pairing problems aims at building the sequences of flight legs operated respectively by airplanes and by crews of an airline. Given their impact on airlines operating costs, both have been extensively studied for…

Optimization and Control · Mathematics 2019-10-10 Axel Parmentier , Frédéric Meunier

We study a stochastic variant of the vehicle routing problem arising in the context of domestic donor collection services. The problem we consider combines the following attributes. Customers requesting services are variable, in the sense…

Optimization and Control · Mathematics 2022-07-15 Mohsen Dastpak , Fausto Errico , Ola Jabali

Applying agrochemicals is the default procedure for conventional weed control in crop production, but has negative impacts on the environment. Robots have the potential to treat every plant in the field individually and thus can reduce the…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Philipp Lottes , Jens Behley , Nived Chebrolu , Andres Milioto , Cyrill Stachniss

The identification of valid inequalities, such as the rounded capacity inequalities (RCIs), is a key component of cutting plane methods for the Capacitated Vehicle Routing Problem (CVRP). While a deep learning-based separation method can…

Artificial Intelligence · Computer Science 2025-10-02 Yoonju Sim , Hyeonah Kim , Changhyun Kwon

In vehicle production factories, the vehicle painting process employs multiple robotic arms to simultaneously apply paint to car bodies advancing along a conveyor line. Designing paint paths for these robotic arms, which involves assigning…

Robotics · Computer Science 2026-01-05 Yuya Nagai , Hiromitsu Nakamura , Narito Shinmachi , Yuta Higashizono , Satoshi Ono

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