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In this paper, we propose a novel hierarchical framework for robot navigation in dynamic environments with heterogeneous constraints. Our approach leverages a graph neural network trained via reinforcement learning (RL) to efficiently…

Robotics · Computer Science 2025-07-24 Huajian Liu , Yixuan Feng , Wei Dong , Kunpeng Fan , Chao Wang , Yongzhuo Gao

The Covering Salesman Problem (CSP) is a generalization of the Traveling Salesman Problem in which the tour is not required to visit all vertices, as long as all vertices are covered by the tour. The objective of CSP is to find a minimum…

Data Structures and Algorithms · Computer Science 2021-04-05 Lucas Porto Maziero , Fábio Luiz Usberti , Celso Cavellucci

This paper presents a novel and efficient heuristic framework for approximating the solutions to the multiple traveling salesmen problem (m-TSP) and other variants on the TSP. The approach adopted in this paper is an extension of the…

Optimization and Control · Mathematics 2016-04-15 Mayank Baranwal , Brian Roehl , Srinivasa M. Salapaka

Recent advancements in Neural Combinatorial Optimization (NCO) have shown promise in solving routing problems like the Traveling Salesman Problem (TSP) and Capacitated Vehicle Routing Problem (CVRP) without handcrafted designs. Research in…

Machine Learning · Computer Science 2025-02-25 Ke Li , Fei Liu , Zhengkun Wang , Qingfu Zhang

Reinforcement learning has recently shown promise in learning quality solutions in many combinatorial optimization problems. In particular, the attention-based encoder-decoder models show high effectiveness on various routing problems,…

Optimization and Control · Mathematics 2022-12-06 Aigerim Bogyrbayeva , Taehyun Yoon , Hanbum Ko , Sungbin Lim , Hyokun Yun , Changhyun Kwon

Recent studies in using deep reinforcement learning (DRL) to solve Job-shop scheduling problems (JSSP) focus on construction heuristics. However, their performance is still far from optimality, mainly because the underlying graph…

Machine Learning · Computer Science 2024-02-15 Cong Zhang , Zhiguang Cao , Wen Song , Yaoxin Wu , Jie Zhang

We propose a framework of genetic algorithms which use multi-level hierarchies to solve an optimization problem by searching over the space of simpler objective functions. We solve a variant of Travelling Salesman Problem called…

Neural and Evolutionary Computing · Computer Science 2019-08-06 Harshavardhan Kamarthi , Kousik Krishnan

This paper presents an approach to learn the local-search heuristics that iteratively improves the solution of Vehicle Routing Problem (VRP). A local-search heuristics is composed of a destroy operator that destructs a candidate solution,…

Neural and Evolutionary Computing · Computer Science 2020-02-21 Lei Gao , Mingxiang Chen , Qichang Chen , Ganzhong Luo , Nuoyi Zhu , Zhixin Liu

The Travelling Salesman Problem (TSP) is one of the most popular Combinatorial Optimization Problem. It is well solicited for the large variety of applications that it can solve, but also for its difficulty to find optimal solutions. One of…

Neural and Evolutionary Computing · Computer Science 2020-06-30 Mehdi El Krari , Belaïd Ahiod

The travelling salesman problem (TSP) is a popular NP-hard-combinatorial optimization problem that requires finding the optimal way for a salesman to travel through different cities once and return to the initial city. The existing methods…

Quantum Physics · Physics 2026-01-28 Kapil Goswami , Gagan Anekonda Veereshi , Peter Schmelcher , Rick Mukherjee

Model free reinforcement learning (RL) provides a potential alternative to earlier formulations of adaptive transit signal priority (TSP) algorithms based on mathematical programming that require complex and nonlinear objective functions.…

Machine Learning · Computer Science 2024-08-02 Dickness Kwesiga , Angshuman Guin , Michael Hunter

Neural routing solvers (NRSs) that leverage deep learning to tackle vehicle routing problems have demonstrated notable potential for practical applications. By learning implicit heuristic rules from data, NRSs replace the handcrafted…

Optimization and Control · Mathematics 2026-03-17 Yunpeng Ba , Xi Lin , Changliang Zhou , Ruihao Zheng , Zhenkun Wang , Xinyan Liang , Zhichao Lu , Jianyong Sun , Yuhua Qian , Qingfu Zhang

This paper explores a variation of the Traveling Salesperson Problem, where the agent places a circular obstacle next to each node once it visits it. Referred to as the Traveling Salesperson Problem with Circle Placement (TSP-CP), the aim…

Robotics · Computer Science 2024-10-16 David Woller , Masoumeh Mansouri , Miroslav Kulich

The travelling salesperson problem (TSP) is a classic resource allocation problem used to find an optimal order of doing a set of tasks while minimizing (or maximizing) an associated objective function. It is widely used in robotics for…

Robotics · Computer Science 2022-07-19 Ishaan Mehta , Sharareh Taghipour , Sajad Saeedi

Multirobot systems for covering environments are increasingly used in applications like cleaning, industrial inspection, patrolling, and precision agriculture. The problem of covering a given environment using multiple robots can be…

Multiagent Systems · Computer Science 2020-01-10 Mirko Salaris , Alessandro Riva , Francesco Amigoni

This study addresses the Min-Max Multiple Traveling Salesmen Problem ($m^3$-TSP), which aims to coordinate tours for multiple salesmen such that the length of the longest tour is minimized. Due to its NP-hard nature, exact solvers become…

Artificial Intelligence · Computer Science 2025-08-26 Wen Wang , Xiangchen Wu , Liang Wang , Hao Hu , Xianping Tao , Linghao Zhang

Stochastic sequential decision making often requires hierarchical structure in the problem where each high-level action should be further planned with primitive states and actions. In addition, many real-world applications require a plan…

Artificial Intelligence · Computer Science 2022-05-12 Sungkweon Hong , Brian C. Williams

The importance of hierarchically structured representations for tractable planning has long been acknowledged. However, the questions of how people discover such abstractions and how to define a set of optimal abstractions remain open. This…

Artificial Intelligence · Computer Science 2018-07-20 Sophia Sanborn , David D. Bourgin , Michael Chang , Thomas L. Griffiths

Recent studies in using deep learning to solve routing problems focus on construction heuristics, the solutions of which are still far from optimality. Improvement heuristics have great potential to narrow this gap by iteratively refining a…

Artificial Intelligence · Computer Science 2020-05-12 Yaoxin Wu , Wen Song , Zhiguang Cao , Jie Zhang , Andrew Lim

This paper reports on the first international competition on AI for the traveling salesman problem (TSP) at the International Joint Conference on Artificial Intelligence 2021 (IJCAI-21). The TSP is one of the classical combinatorial…