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In this paper, we study the shortest path problem (SPP) with multiple source-destination pairs (MSD), namely MSD-SPP, to minimize average travel time of all shortest paths. The inherent traffic capacity limits within a road network…

Artificial Intelligence · Computer Science 2024-09-04 Jiaming Yin , Weixiong Rao , Yu Xiao , Keshuang Tang

The Traveling Salesman Problem (TSP) is a well-known combinatorial optimization problem with broad real-world applications. Recently, neural networks have gained popularity in this research area because as shown in the literature, they…

Artificial Intelligence · Computer Science 2024-10-17 Yubin Xiao , Di Wang , Boyang Li , Huanhuan Chen , Wei Pang , Xuan Wu , Hao Li , Dong Xu , Yanchun Liang , You Zhou

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

The Traveling Salesman Problem (TSP) is a classic NP-hard combinatorial optimization task with numerous practical applications. Classic heuristic solvers can attain near-optimal performance for small problem instances, but become…

Machine Learning · Computer Science 2025-08-13 Michael Li , Eric Bae , Christopher Haberland , Natasha Jaques

Existing neural methods for the Travelling Salesman Problem (TSP) mostly aim at finding a single optimal solution. To discover diverse yet high-quality solutions for Multi-Solution TSP (MSTSP), we propose a novel deep reinforcement learning…

Machine Learning · Computer Science 2025-01-03 Qi Li , Zhiguang Cao , Yining Ma , Yaoxin Wu , Yue-Jiao Gong

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

In this paper, we provide a novel strategy for solving Traveling Salesman Problem, which is a famous combinatorial optimization problem studied intensely in the TCS community. In particular, we consider the imitation learning framework,…

Machine Learning · Computer Science 2022-10-13 Pingbang Hu

The Multiple Traveling Salesman Problem (mTSP) extends the Traveling Salesman Problem to m tours that start and end at a common depot and jointly visit all customers exactly once. In the min-max variant, the objective is to minimize the…

Artificial Intelligence · Computer Science 2026-03-02 Guillem Rodríguez-Corominas , Maria J. Blesa , Christian Blum

The Moving Target Traveling Salesman Problem (MT-TSP) seeks a trajectory that intercepts several moving targets, within a particular time window for each target. When generic nonlinear target trajectories or kinematic constraints on the…

Robotics · Computer Science 2026-03-24 Anoop Bhat , Geordan Gutow , Bhaskar Vundurthy , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

The Travelling Salesman Problem (TSP) is a classical NP-hard problem and has broad applications in many disciplines and industries. In a large scale location-based services system, users issue TSP queries concurrently, where a TSP query is…

Artificial Intelligence · Computer Science 2021-04-15 Kangfei Zhao , Shengcai Liu , Yu Rong , Jeffrey Xu Yu

Persistent monitoring of dynamic targets is essential in real-world applications such as disaster response, environmental sensing, and wildlife conservation, where mobile agents must continuously gather information under uncertainty. We…

Multiagent Systems · Computer Science 2025-10-21 Xingjian Zhang , Yizhuo Wang , Guillaume Sartoretti

This paper introduces a new deep learning approach to approximately solve the Covering Salesman Problem (CSP). In this approach, given the city locations of a CSP as input, a deep neural network model is designed to directly output the…

Neural and Evolutionary Computing · Computer Science 2021-09-15 Kaiwen Li , Tao Zhang , Rui Wang Yuheng Wang , Yi Han

Communication technologies enable coordination among connected and autonomous vehicles (CAVs). However, it remains unclear how to utilize shared information to improve the safety and efficiency of the CAV system in dynamic and complicated…

Robotics · Computer Science 2023-03-15 Zhili Zhang , Songyang Han , Jiangwei Wang , Fei Miao

The growing complexity of urban mobility and the demand for efficient, sustainable, and adaptive solutions have positioned Intelligent Transportation Systems (ITS) at the forefront of modern infrastructure innovation. At the core of ITS…

Machine Learning · Computer Science 2026-03-06 Rexcharles Donatus , Kumater Ter , Daniel Udekwe

Finding the optimal signal timing strategy is a difficult task for the problem of large-scale traffic signal control (TSC). Multi-Agent Reinforcement Learning (MARL) is a promising method to solve this problem. However, there is still room…

Machine Learning · Computer Science 2021-09-14 Xiaoqiang Wang , Liangjun Ke , Zhimin Qiao , Xinghua Chai

Cooperative multi-agent reinforcement learning (MARL) is widely used to address large joint observation and action spaces by decomposing a centralized control problem into multiple interacting agents. However, such decomposition often…

Machine Learning · Computer Science 2026-04-16 Zijian Zhao , Jing Gao , Sen Li

Rapid urbanization in cities like Bangalore has led to severe traffic congestion, making efficient Traffic Signal Control (TSC) essential. Multi-Agent Reinforcement Learning (MARL), often modeling each traffic signal as an independent agent…

Machine Learning · Computer Science 2026-05-19 Sayambhu Sen , Shalabh Bhatnagar

The recent advancements in wireless technology enable connected autonomous vehicles (CAVs) to gather information about their environment by vehicle-to-vehicle (V2V) communication. In this work, we design an information-sharing-based…

Artificial Intelligence · Computer Science 2022-09-07 Songyang Han , Shanglin Zhou , Jiangwei Wang , Lynn Pepin , Caiwen Ding , Jie Fu , Fei Miao

Traveling Salesman Problem (TSP) is a classic NP-hard problem that has garnered significant attention from both academia and industry. While neural-based methods have shown promise for solving TSPs, they still face challenges in scaling to…

Machine Learning · Computer Science 2026-04-16 Tongkai Lu , Shuai Ma , Chongyang Tao

A well known N P-hard problem called the Generalized Traveling Salesman Problem (GTSP) is considered. In GTSP the nodes of a complete undirected graph are partitioned into clusters. The objective is to find a minimum cost tour passing…

Artificial Intelligence · Computer Science 2017-08-15 Camelia-M. Pintea , Petrica C. Pop , Camelia Chira
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