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The traveling salesman problem (TSP) is one of the most prominent combinatorial optimization problems. Given a complete graph G = (V, E) and non-negative distances d for every edge, the TSP asks for a shortest tour through all vertices with…

最优化与控制 · 数学 2021-09-30 Ulrich Pferschy , Rostislav Stanek

This paper proposes a dual divide-and-optimize algorithm (DualOpt) for solving the large-scale traveling salesman problem (TSP). DualOpt combines two complementary strategies to improve both solution quality and computational efficiency.…

人工智能 · 计算机科学 2025-01-16 Shipei Zhou , Yuandong Ding , Chi Zhang , Zhiguang Cao , Yan Jin

An important variant of the classic Traveling Salesman Problem (TSP) is the Dynamic TSP, in which a system with dynamic constraints is tasked with visiting a set of n target locations (in any order) in the shortest amount of time. Such…

机器人学 · 计算机科学 2023-02-02 Aviv Adler , Oren Gal , Sertac Karaman

The traveling salesman problem (TSP) famously asks for a shortest tour that a salesperson can take to visit a given set of cities in any order. In this paper, we ask how much faster $k \ge 2$ salespeople can visit the cities if they divide…

计算几何 · 计算机科学 2025-04-16 Benjamin Aram Berendsohn , Hwi Kim , László Kozma

The travelling salesman problem (TSP) of space trajectory design is complicated by its complex structure design space. The graph based tree search and stochastic seeding combinatorial approaches are commonly employed to tackle the…

最优化与控制 · 数学 2021-09-07 Liqiang Hou , Shufan Wu , Zhongcheng Mu , Meilin Liu

The Traveling Salesman Problem (TSP) is a well-known NP-hard combinatorial optimization problem with wide-ranging applications in logistics, routing, and intelligent systems. Due to its factorial complexity, solving large-scale instances…

分布式、并行与集群计算 · 计算机科学 2025-05-27 Rabab Alkhalifa , Fatima Alkhomayes , Boushra Almazroua , Dana Alhaidan , Maryam Alothman , Jumana Almuhaidib

In this paper we consider the Recoverable Traveling Salesman Problem (TSP). Here the task is to find two tours simultaneously, such that the intersection between the tours is at least a given minimum size, while the sum of travel distances…

数据结构与算法 · 计算机科学 2021-11-19 Marc Goerigk , Stefan Lendl , Lasse Wulf

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,…

机器学习 · 计算机科学 2022-10-13 Pingbang Hu

The Traveling Salesman Problem (TSP) is a well-known combinatorial optimization problem that aims to find the shortest possible route that visits each city exactly once and returns to the starting point. This paper explores the application…

神经与进化计算 · 计算机科学 2025-01-28 Kael Silva Araújo , Francisco Márcio Barboza

The Traveling Salesman Problem (TSP) is among the most famous NP-hard optimization problems. We design for this problem a randomized polynomial-time algorithm that computes a (1+eps)-approximation to the optimal tour, for any fixed eps>0,…

计算复杂性 · 计算机科学 2016-09-09 Yair Bartal , Lee-Ad Gottlieb , Robert Krauthgamer

TSP (Traveling Salesman Problem), a classic NP-complete problem in combinatorial optimization, is of great significance in multiple fields. Exact algorithms for TSP are not practical due to their exponential time cost. Thus, approximate…

数据结构与算法 · 计算机科学 2019-11-12 Yang Li , Junbin Gao , Mingyuan Bai , Chengjun Li , Gang Liu

The Dubins Traveling Salesman Problem (DTSP) has generated significant interest over the last decade due to its occurrence in several civil and military surveillance applications. Currently, there is no algorithm that can find an optimal…

最优化与控制 · 数学 2018-03-07 Satyanarayana Manyam , Sivakumar Rathinam

We describe a hybrid procedure for solving the traveling salesman problem (TSP) to provable optimality. We first sparsify the instance, and then use a hybrid algorithm that combines a branch-and-cut TSP solver with a Hamiltonian cycle…

数据结构与算法 · 计算机科学 2017-05-22 Vladimir Ejov , Michael Haythorpe , Serguei Rossomakhine

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

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…

机器人学 · 计算机科学 2026-03-24 Anoop Bhat , Geordan Gutow , Bhaskar Vundurthy , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

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…

机器人学 · 计算机科学 2024-10-16 David Woller , Masoumeh Mansouri , Miroslav Kulich

This article proposes the first known algorithm that achieves a constant-factor approximation of the minimum length tour for a Dubins' vehicle through $n$ points on the plane. By Dubins' vehicle, we mean a vehicle constrained to move at…

机器人学 · 计算机科学 2007-05-23 Ketan Savla , Emilio Frazzoli , Francesco Bullo

The Travelling Salesman Problem (TSP) is a well known and challenging combinatorial optimisation problem. Its computational intractability has attracted a number of heuristic approaches to generate satisfactory, if not optimal, candidate…

新兴技术 · 计算机科学 2013-03-27 Jeff Jones , Andrew Adamatzky

We study a new version of the Traveling Salesperson Problem, called \VectorTSP, where the traveler is subject to discrete acceleration constraints, as defined in the paper-and-pencil game Racetrack (also known as Vector Racer). In this…

数据结构与算法 · 计算机科学 2025-02-12 Arnaud Casteigts , Mathieu Raffinot , Mikhail Raskin , Jason Schoeters

In this work we revisit the Hopfield-Tank algorithm for the traveling salesman problem (TSP) and report encouraging results, with a different dynamics, that makes the algorithm more efficient finding better solutions in much less…

软凝聚态物质 · 物理学 2009-10-30 M. Argollo de Menezes , T. J. P. Penna
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