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The Flying Sidekick Traveling Salesman Problem (FSTSP) considers a delivery system composed by a truck and a drone. The drone launches from the truck with a single package to deliver to a customer. Each drone must return to the truck to…

Artificial Intelligence · Computer Science 2021-08-05 Júlia C. Freitas , Puca Huachi V. Penna , Túlio A. M. Toffolo

There has been a growing number of machine learning methods for approximately solving the travelling salesman problem. However, these methods often require solved instances for training or use complex reinforcement learning approaches that…

Machine Learning · Computer Science 2022-07-28 Elīza Gaile , Andis Draguns , Emīls Ozoliņš , Kārlis Freivalds

We propose and evaluate a system which learns a neuralnetwork heuristic function for forward search-based, satisficing classical planning. Our system learns distance-to-goal estimators from scratch, given a single PDDL training instance.…

Artificial Intelligence · Computer Science 2023-06-08 Yu Liu , Ryo Kuroiwa , Alex Fukunaga

This paper introduces RouteFinder, a comprehensive foundation model framework to tackle different Vehicle Routing Problem (VRP) variants. Our core idea is that a foundation model for VRPs should be able to represent variants by treating…

Artificial Intelligence · Computer Science 2025-09-16 Federico Berto , Chuanbo Hua , Nayeli Gast Zepeda , André Hottung , Niels Wouda , Leon Lan , Junyoung Park , Kevin Tierney , Jinkyoo Park

In recent years new deep learning approaches to solve combinatorial optimization problems, in particular NP-hard Vehicle Routing Problems (VRP), have been proposed. The most impactful of these methods are sequential neural construction…

Machine Learning · Computer Science 2023-10-02 Jonas K. Falkner , Lars Schmidt-Thieme

Grover's search algorithm is one of the basic building block in the world of quantum algorithms. Successfully applying it to combinatorial optimization problems is a subtle challenge. As a quadratic speedup is not enough to naively search…

Combinatorial optimization algorithms for graph problems are usually designed afresh for each new problem with careful attention by an expert to the problem structure. In this work, we develop a new framework to solve any combinatorial…

Recent work investigated the use of Reinforcement Learning (RL) for the synthesis of heuristic guidance to improve the performance of temporal planners when a domain is fixed and a set of training problems (not plans) is given. The idea is…

Artificial Intelligence · Computer Science 2025-05-20 Irene Brugnara , Alessandro Valentini , Andrea Micheli

Understanding the behaviour of heuristic search methods is a challenge. This even holds for simple local search methods such as 2-OPT for the Traveling Salesperson problem. In this paper, we present a general framework that is able to…

Neural and Evolutionary Computing · Computer Science 2020-06-01 Wanru Gao , Samadhi Nallaperuma , Frank Neumann

Path-planning algorithms are an important part of a wide variety of robotic applications, such as mobile robot navigation and robot arm manipulation. However, in large search spaces in which local traps may exist, it remains challenging to…

Machine Learning · Computer Science 2019-08-12 Yuka Ariki , Takuya Narihira

Coordinating agents to complete a set of tasks with intercoupled temporal and resource constraints is computationally challenging, yet human domain experts can solve these difficult scheduling problems using paradigms learned through years…

Artificial Intelligence · Computer Science 2018-05-14 Matthew Gombolay , Reed Jensen , Jessica Stigile , Toni Golen , Neel Shah , Sung-Hyun Son , Julie Shah

Recently, a deep reinforcement learning method is proposed to solve multiobjective optimization problem. In this method, the multiobjective optimization problem is decomposed to a number of single-objective optimization subproblems and all…

Neural and Evolutionary Computing · Computer Science 2020-02-14 Hong Wu , Jiahai Wang , Zizhen Zhang

Hybrid variations of metaheuristics that include data mining strategies have been utilized to solve a variety of combinatorial optimization problems, with superior and encouraging results. Previous hybrid strategies applied mined patterns…

Artificial Intelligence · Computer Science 2020-05-25 Marcelo Rodrigues de Holanda Maia , Alexandre Plastino , Puca Huachi Vaz Penna

In this work, we consider learning-based applications in routing to solve a Vehicle Routing variant characterized by stochasticity and multiple objectives. Such problems are representative of practical settings where decision-makers have to…

Machine Learning · Computer Science 2025-12-02 Abdo Abouelrous , Laurens Bliek , Yaoxin Wu , Yingqian Zhang

The Vehicle Routing Problem (VRP) is a fundamental challenge in logistics management research, given its substantial influence on transportation efficiency, cost minimization, and service quality. As a combinatorial optimization problem,…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Souad Abdoune , Menouar Boulif

We explore the impact of learning paradigms on training deep neural networks for the Travelling Salesman Problem. We design controlled experiments to train supervised learning (SL) and reinforcement learning (RL) models on fixed graph sizes…

Machine Learning · Computer Science 2019-11-01 Chaitanya K. Joshi , Thomas Laurent , Xavier Bresson

Designing high-performing metaheuristics for NP-hard combinatorial optimization problems, such as the Vehicle Routing Problem (VRP), remains a significant challenge, often requiring extensive domain expertise and manual tuning. Recent…

Neural and Evolutionary Computing · Computer Science 2026-04-10 Manuj Malik , Jianan Zhou , Shashank Reddy Chirra , Zhiguang Cao

We introduce a new neural architecture to learn the conditional probability of an output sequence with elements that are discrete tokens corresponding to positions in an input sequence. Such problems cannot be trivially addressed by…

Machine Learning · Statistics 2017-01-03 Oriol Vinyals , Meire Fortunato , Navdeep Jaitly

The article presents a study on the biobjective inventory routing problem. Contrary to most previous research, the problem is treated as a true multi-objective optimization problem, with the goal of identifying Pareto-optimal solutions. Due…

Artificial Intelligence · Computer Science 2011-09-15 Martin Josef Geiger , Marc Sevaux

Recent work applying deep reinforcement learning (DRL) to solve traveling salesman problems (TSP) has shown that DRL-based solvers can be fast and competitive with TSP heuristics for small instances, but do not generalize well to larger…

Machine Learning · Computer Science 2021-10-07 Wenbin Ouyang , Yisen Wang , Shaochen Han , Zhejian Jin , Paul Weng
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