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In a near future drones are likely to become a viable way of distributing parcels in a urban environment. In this paper we consider the parallel drone scheduling traveling salesman problem, where a set of customers requiring a delivery is…

Optimization and Control · Mathematics 2022-10-31 Mauro Dell'Amico , Roberto Montemanni , Stefano Novellani

We study GCS-TSP, a new variant of the Traveling Salesman Problem (TSP) defined over a Graph of Convex Sets (GCS) -- a powerful representation for trajectory planning that decomposes the configuration space into convex regions connected by…

Artificial Intelligence · Computer Science 2025-11-14 Jingtao Tang , Hang Ma

We propose an end-to-end learning framework based on hierarchical reinforcement learning, called H-TSP, for addressing the large-scale Travelling Salesman Problem (TSP). The proposed H-TSP constructs a solution of a TSP instance starting…

Artificial Intelligence · Computer Science 2023-04-20 Xuanhao Pan , Yan Jin , Yuandong Ding , Mingxiao Feng , Li Zhao , Lei Song , Jiang Bian

The Traveling Salesperson Problem (TSP) is a fundamental NP-hard optimisation challenge with widespread applications in logistics, operations research, and network design. While classical algorithms effectively solve small to medium-sized…

Quantum Physics · Physics 2025-03-04 Christos Lytrosyngounis , Ioannis Lytrosyngounis

This paper considers a Min-Max Multiple Traveling Salesman Problem (MTSP), where the goal is to find a set of tours, one for each agent, to collectively visit all the cities while minimizing the length of the longest tour. Though MTSP has…

Artificial Intelligence · Computer Science 2024-08-26 Yifan Guo , Zhongqiang Ren , Chen Wang

Recent works on cost based relaxations have improved Constraint Programming (CP) models for the Traveling Salesman Problem (TSP). We provide a short survey over solving asymmetric TSP with CP. Then, we suggest new implied propagators based…

Discrete Mathematics · Computer Science 2012-06-18 Jean-Guillaume Fages , Xavier Lorca

Deep learning has shown significant potential in solving combinatorial optimization problems such as the Euclidean traveling salesman problem (TSP). However, most training and test instances for existing TSP algorithms are generated…

Machine Learning · Computer Science 2025-02-04 Xiayang Li , Shihua Zhang

Spatio-temporal forecasting is fundamental to intelligent systems in transportation, climate science, and urban planning. However, training deep learning models on the massive, often redundant, datasets from these domains presents a…

Machine Learning · Computer Science 2026-03-03 Wei Chen , Junle Chen , Yuqian Wu , Yuxuan Liang , Xiaofang Zhou

Regularization has long been utilized to learn sparsity in deep neural network pruning. However, its role is mainly explored in the small penalty strength regime. In this work, we extend its application to a new scenario where the…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Huan Wang , Can Qin , Yulun Zhang , Yun Fu

In this work, we consider the problem of finding a set of tours to a traveling salesperson problem (TSP) instance maximizing diversity, while satisfying a given cost constraint. This study aims to investigate the effectiveness of applying…

Neural and Evolutionary Computing · Computer Science 2022-04-20 Anh Viet Do , Mingyu Guo , Aneta Neumann , Frank Neumann

Recent advancements in the flexible job-shop scheduling problem (FJSSP) are primarily based on deep reinforcement learning (DRL) due to its ability to generate high-quality, real-time solutions. However, DRL approaches often fail to fully…

Artificial Intelligence · Computer Science 2024-03-15 Imanol Echeverria , Maialen Murua , Roberto Santana

We provide exact and approximation methods for solving a geometric relaxation of the Traveling Salesman Problem (TSP) that occurs in curve reconstruction: for a given set of vertices in the plane, the problem Minimum Perimeter Polygon (MPP)…

The traveling salesman problem (TSP) is a cornerstone of combinatorial optimization and has deeply influenced the development of algorithmic techniques in both exact and approximate settings. Yet, improving on the decades-old bounds for…

Data Structures and Algorithms · Computer Science 2026-04-08 Justin Dallant , László Kozma

The multi-path Traveling Salesman Problem with stochastic travel costs arises in hybrid vehicle routing applications designed for Smart City and City Logistics, where multiple paths exist between each pair of locations. Travel times along…

Optimization and Control · Mathematics 2026-05-15 Xiaochen Chou , Ludovica Di Marco , Enza Messina

The Colored Points Traveling Salesman Problem (Colored Points TSP) is introduced in this work as a novel variation of the traditional Traveling Salesman Problem (TSP) in which the set of points is partitioned into multiple classes, each of…

Computational Geometry · Computer Science 2024-01-09 Saeed Asaeedi

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

This research proposes a novel indicator-based hybrid evolutionary approach that combines approximate and exact algorithms. We apply it to a new bi-criteria formulation of the travelling thief problem, which is known to the Evolutionary…

Artificial Intelligence · Computer Science 2018-02-08 Junhua Wu , Sergey Polyakovskiy , Markus Wagner , Frank Neumann

Most of the current inference techniques rely upon Bayesian inference on Probabilistic Graphical Models of observations and do predictions and classification on observations. However, there is very little literature on the mining of…

Machine Learning · Computer Science 2022-05-24 Sue Sin Chong

The Travelling Salesman Problem (TSP), finding a minimal weighted Hamilton cycle in a graph, is a typical problem in operation research and combinatorial optimization. In this paper, based on some novel properties on Hamilton graphs, we…

Discrete Mathematics · Computer Science 2021-04-28 Heping Jiang

This paper proposes a novel primal heuristic for Mixed Integer Programs, by employing machine learning techniques. Mixed Integer Programming is a general technique for formulating combinatorial optimization problems. Inside a solver, primal…

Artificial Intelligence · Computer Science 2021-07-05 Yunzhuang Shen , Yuan Sun , Andrew Eberhard , Xiaodong Li
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