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Quantum computing and machine learning have potential for symbiosis. However, in addition to the hardware limitations from current devices, there are still basic issues that must be addressed before quantum circuits can usefully incorporate…

Quantum Physics · Physics 2022-06-15 Fabio Sanches , Sean Weinberg , Takanori Ide , Kazumitsu Kamiya

Recently, neural networks (NN) have made great strides in combinatorial optimization. However, they face challenges when solving the capacitated arc routing problem (CARP) which is to find the minimum-cost tour covering all required edges…

Machine Learning · Computer Science 2024-03-13 Runze Guo , Feng Xue , Anlong Ming , Nicu Sebe

In this work, we address the problem of determining reliable policies in reinforcement learning (RL), with a focus on optimization under uncertainty and the need for performance guarantees. While classical RL algorithms aim at maximizing…

Machine Learning · Computer Science 2025-10-22 Nadir Farhi

In this paper we present a new approach to tackle complex routing problems with an improved state representation that utilizes the model complexity better than previous methods. We enable this by training from temporal differences.…

Machine Learning · Computer Science 2021-04-27 Ahmad Bdeir , Simon Boeder , Tim Dernedde , Kirill Tkachuk , Jonas K. Falkner , Lars Schmidt-Thieme

Recently numerous machine learning based methods for combinatorial optimization problems have been proposed that learn to construct solutions in a sequential decision process via reinforcement learning. While these methods can be easily…

Machine Learning · Computer Science 2022-03-16 André Hottung , Yeong-Dae Kwon , Kevin Tierney

Vehicle Routing Problems (VRPs) can model many real-world scenarios and often involve complex constraints. While recent neural methods excel in constructing solutions based on feasibility masking, they struggle with handling complex…

Artificial Intelligence · Computer Science 2024-10-29 Jieyi Bi , Yining Ma , Jianan Zhou , Wen Song , Zhiguang Cao , Yaoxin Wu , Jie Zhang

In this thesis we present a new algorithm for the Vehicle Routing Problem called the Enhanced Bees Algorithm. It is adapted from a fairly recent algorithm, the Bees Algorithm, which was developed for continuous optimisation problems. We…

Neural and Evolutionary Computing · Computer Science 2016-05-19 Aish Fenton

Motivated by recent progress in quantum hardware and algorithms researchers have developed quantum heuristics for optimization problems, aiming for advantages over classical methods. To date, quantum hardware is still error-prone and…

Quantum Physics · Physics 2026-04-27 Friedrich Wagner , Frauke Liers

Recent researches show that machine learning has the potential to learn better heuristics than the one designed by human for solving combinatorial optimization problems. The deep neural network is used to characterize the input instance for…

Machine Learning · Computer Science 2020-02-11 Bo Peng , Jiahai Wang , Zizhen Zhang

We consider an extension of the rollout algorithm that applies to constrained deterministic dynamic programming, including challenging combinatorial optimization problems. The algorithm relies on a suboptimal policy, called base heuristic.…

Optimization and Control · Mathematics 2020-04-28 Dimitri Bertsekas

Temporal dependencies between customer visits, such as synchronization constraints, pose a fundamental challenge in vehicle routing. These dependencies, which arise in applications such as home healthcare routing, aircraft scheduling, and…

Optimization and Control · Mathematics 2026-04-20 Loek van Montfort , Markus Leitner , Rosario Paradiso

The personnel scheduling problem is a well-known NP-hard combinatorial problem. Due to the complexity of this problem and the size of the real-world instances, it is not possible to use exact methods, and thus heuristics, meta-heuristics,…

Artificial Intelligence · Computer Science 2018-05-22 Roman Václavík , Přemysl Šůcha , Zdeněk Hanzálek

Large-scale ride-sharing systems combine real-time dispatching and routing optimization over a rolling time horizon with a model predictive control (MPC) component that relocates idle vehicles to anticipate the demand. The MPC optimization…

Artificial Intelligence · Computer Science 2021-07-22 Enpeng Yuan , Pascal Van Hentenryck

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…

Computational complexity has been a major challenge in game-theoretic model predictive control (GT-MPC), as real-time solutions to a game (e.g., Nash equilibria (NEs)) have to be computed at each sampling instant of an MPC. This challenge…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Shaoqing Liu , Mushuang Liu

Resource balancing within complex transportation networks is one of the most important problems in real logistics domain. Traditional solutions on these problems leverage combinatorial optimization with demand and supply forecasting.…

Multiagent Systems · Computer Science 2019-03-05 Xihan Li , Jia Zhang , Jiang Bian , Yunhai Tong , Tie-Yan Liu

Autonomous navigation has recently gained great interest in the field of reinforcement learning. However, little attention was given to the time optimal velocity control problem, i.e. controlling a vehicle such that it travels at the…

Robotics · Computer Science 2019-07-26 Gabriel Hartmann , Zvi Shiller , Amos Azaria

Machine learning has increasingly been employed to solve NP-hard combinatorial optimization problems, resulting in the emergence of neural solvers that demonstrate remarkable performance, even with minimal domain-specific knowledge. To…

Optimization and Control · Mathematics 2025-05-27 Chengrui Gao , Haopu Shang , Ke Xue , Chao Qian

Despite the extensive research efforts and the remarkable results obtained on Vehicle Routing Problems (VRP) by using algorithms proposed by the Machine Learning community that are partially or entirely based on data-driven analysis, most…

Machine Learning · Computer Science 2021-09-30 Luca Accorsi , Andrea Lodi , Daniele Vigo

We investigate a structural decomposition for the capacitated vehicle routing problem (CVRP) based on vehicle-to-customer "assignment" and visits "sequencing" decision variables. We show that an heuristic search focused on assignment…

Optimization and Control · Mathematics 2018-03-19 Túlio A. M. Toffolo , Thibaut Vidal , Tony Wauters