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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…

离散数学 · 计算机科学 2021-04-28 Heping Jiang

The Traveling Tournament Problem (TTP) is a challenging combinatorial optimization problem that has attracted the interest of researchers around the world. This paper proposes an improved search neighbourhood for the TTP that has been…

数据结构与算法 · 计算机科学 2010-07-06 Glenn Langford

This paper proposes an algorithmic method to heuristically solve the famous Travelling Salesman Problem (TSP) when the salesman's path evolves in continuous state space and discrete time but with otherwise arbitrary (nonlinear) dynamics.…

最优化与控制 · 数学 2021-03-02 Alexander Weber , Alexander Knoll

We present an exact formulation of the symmetric Traveling Salesman Problem (TSP) that replaces the classical edge-selection view with a surface-building approach. Instead of selecting edges to form a cycle, the model selects a set of…

综合数学 · 数学 2026-03-03 Yılmaz Arslanoğlu

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…

人工智能 · 计算机科学 2025-11-14 Jingtao Tang , Hang Ma

This paper proposes a hybrid genetic algorithm for solving the Multiple Traveling Salesman Problem (mTSP) to minimize the length of the longest tour. The genetic algorithm utilizes a TSP sequence as the representation of each individual,…

神经与进化计算 · 计算机科学 2023-10-31 Sasan Mahmoudinazlou , Changhyun Kwon

We tackle the Thief Orienteering Problem (ThOP), an academic multi-component problem that combines two classical combinatorial problems, namely the Knapsack Problem and the Orienteering Problem. In the ThOP, a thief has a time limit to…

神经与进化计算 · 计算机科学 2021-10-28 Jonatas B. C. Chagas , Markus Wagner

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…

人工智能 · 计算机科学 2018-02-08 Junhua Wu , Sergey Polyakovskiy , Markus Wagner , Frank Neumann

This paper introduces a new formulation that finds the optimum for the Moving-Target Traveling Salesman Problem (MT-TSP), which seeks to find a shortest path for an agent, that starts at a depot, visits a set of moving targets exactly once…

机器人学 · 计算机科学 2025-01-15 Allen George Philip , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

The Travelling Salesman Problem - TSP is one of the most explored problems in the scientific literature to solve real problems regarding the economy, transportation, and logistics, to cite a few cases. Adapting TSP to solve different…

神经与进化计算 · 计算机科学 2024-10-29 Carlos Alberto da Silva Junior , Roberto Yuji Tanaka , Luiz Carlos Farias da Silva , Angelo Passaro

We study the metric $s$-$t$ path Traveling Salesman Problem (TSP). [An, Kleinberg, and Shmoys, STOC 2012] improved on the long standing $\frac{5}{3}$-approximation factor and presented an algorithm that achieves an approximation factor of…

数据结构与算法 · 计算机科学 2015-03-17 Zhihan Gao

The Traveling Salesman Problem (TSP) is one of the most famous optimization problems. Greedy crossover designed by Greffenstette et al, can be used while Symmetric TSP (STSP) is resolved by Genetic Algorithm (GA). Researchers have proposed…

神经与进化计算 · 计算机科学 2012-09-25 Hassan Ismkhan , Kamran Zamanifar

We study the Travelling Salesman Problem (TSP) on the metric completion of cubic and subcubic graphs, which is known to be NP-hard. The problem is of interest because of its relation to the famous 4/3 conjecture for metric TSP, which says…

数据结构与算法 · 计算机科学 2011-07-07 Sylvia Boyd , René Sitters , Suzanne van der Ster , Leen Stougie

The Directed Traveling Salesman Problem (DTSP) is a variant of the classical Traveling Salesman Problem in which the edges in the graph are directed and a vertex and edge can be visited multiple times. The goal is to find a directed closed…

数据结构与算法 · 计算机科学 2025-09-17 Václav Blažej , Andreas Emil Feldmann , Foivos Fioravantes , Paweł Rzążewski , Ondřej Suchý

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…

人工智能 · 计算机科学 2023-04-20 Xuanhao Pan , Yan Jin , Yuandong Ding , Mingxiao Feng , Li Zhao , Lei Song , Jiang Bian

Solutions to the Traveling Salesperson Problem (TSP) have practical applications to processes in transportation, logistics, and automation, yet must be computed with minimal delay to satisfy the real-time nature of the underlying tasks.…

机器学习 · 计算机科学 2022-04-06 Benjamin Hudson , Qingbiao Li , Matthew Malencia , Amanda Prorok

With applications to many disciplines, the traveling salesman problem (TSP) is a classical computer science optimization problem with applications to industrial engineering, theoretical computer science, bioinformatics, and several other…

人工智能 · 计算机科学 2017-05-26 Yihui He , Ming Xiang

Routing problems are optimization problems that consider a set of goals in a graph to be visited by a vehicle (or a fleet of them) in an optimal way, while numerous constraints have to be satisfied. We present a solution based on…

机器人学 · 计算机科学 2017-08-01 Miroslav Kulich , Roman Sushkov , Libor Přeučil

The NP-hard graphical traveling salesman problem (GTSP) is to find a closed walk of total minimum weight that visits each vertex in an undirected edge-weighted and not necessarily complete graph. We present a problem kernel with…

数据结构与算法 · 计算机科学 2023-10-12 René van Bevern , Daniel A. Skachkov

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…

神经与进化计算 · 计算机科学 2020-06-30 Mehdi El Krari , Belaïd Ahiod