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In this paper we propose some novel path planning strategies for a double integrator with bounded velocity and bounded control inputs. First, we study the following version of the Traveling Salesperson Problem (TSP): given a set of points…

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

The Travelling Salesman Problem (TSP) is a challenging graph task in combinatorial optimization that requires reasoning about both local node neighborhoods and global graph structure. In this paper, we propose to use the novel Graph…

人工智能 · 计算机科学 2020-07-10 Amal Nammouchi , Hakim Ghazzai , Yehia Massoud

The Traveling Salesman Problem (TSP) is a prototypical combinatorial optimization problem, but its quantum implementation is limited by the O(n^2)-qubit overhead of standard one-hot encodings. Here, we propose a resource-efficient…

量子物理 · 物理学 2026-05-04 Yuefeng Lin , Chao Zheng , Cong Guo

While traditional optimization problems were often studied in isolation, many real-world problems today require interdependence among multiple optimization components. The traveling thief problem (TTP) is a multi-component problem that has…

神经与进化计算 · 计算机科学 2026-04-09 Helen Yuliana Angmalisang , Frank Neumann

Many real-world scenarios involve solving bi-level optimization problems in which there is an outer discrete optimization problem, and an inner problem involving expensive or black-box computation. This arises in space-time dependent…

The genetic algorithm includes some parameters that should be adjusted, so as to get reliable results. Choosing a representation of the problem addressed, an initial population, a method of selection, a crossover operator, mutation…

神经与进化计算 · 计算机科学 2012-03-15 Otman Abdoun , Jaafar Abouchabaka , Chakir Tajani

This paper proposes a formulation of the Active Debris Removal (ADR) Mission Design problem as a modified Time-Dependent Traveling Salesman Problem (TDTSP). The TDTSP is a well-known combinatorial optimization problem, whose solution is the…

最优化与控制 · 数学 2019-09-24 Lorenzo Federici , Alessandro Zavoli , Guido Colasurdo

Neural networks have advanced combinatorial optimization, with Transformer-based solvers achieving near-optimal solutions on the Traveling Salesman Problem (TSP) in milliseconds. However, these models operate as black boxes, providing no…

机器学习 · 计算机科学 2025-10-27 Reuben Narad , Leonard Boussioux , Michael Wagner

The Multi-Traveling Salesman Problem (MTSP) is a commonly used mathematical model for multi-agent task allocation. However, as the number of agents and task targets increases, existing optimization-based methods often incur prohibitive…

系统与控制 · 电气工程与系统科学 2025-12-01 Xiubin Chen

Evolving diverse sets of high quality solutions has gained increasing interest in the evolutionary computation literature in recent years. With this paper, we contribute to this area of research by examining evolutionary diversity…

神经与进化计算 · 计算机科学 2021-10-04 Anh Viet Do , Jakob Bossek , Aneta Neumann , Frank Neumann

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

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

In this paper we discuss the application of Artificial Intelligence (AI) to the exemplary industrial use case of the two-dimensional commissioning problem in a high-bay storage, which essentially can be phrased as an instance of Traveling…

神经与进化计算 · 计算机科学 2024-04-16 Stefan Wintersteller , Martin Uray , Michael Lehenauer , Stefan Huber

Dubins tours represent a solution of the Dubins Traveling Salesman Problem (DTSP) that is a variant of the optimization routing problem to determine a curvature-constrained shortest path to visit a set of locations such that the path is…

机器人学 · 计算机科学 2020-02-04 Jan Drchal , Jan Faigl , Petr Váňa

Understanding the behaviour of heuristic search methods is a challenge. This even holds for simple local search methods such as 2-OPT for the Traveling Salesperson problem. In this paper, we present a general framework that is able to…

神经与进化计算 · 计算机科学 2020-06-01 Wanru Gao , Samadhi Nallaperuma , Frank Neumann

We introduce a topological feedback mechanism for the Travelling Salesman Problem (TSP) by analyzing the divergence between a tour and the minimum spanning tree (MST). Our key contribution is a canonical decomposition theorem that expresses…

Recent works using deep learning to solve the Traveling Salesman Problem (TSP) have focused on learning construction heuristics. Such approaches find TSP solutions of good quality but require additional procedures such as beam search and…

机器学习 · 计算机科学 2020-09-15 Paulo R. de O. da Costa , Jason Rhuggenaath , Yingqian Zhang , Alp Akcay

We introduce a fast, quasi-linear-time heuristic for the Close-Enough Traveling Salesman Problem (CETSP), a continuous generalization of the Euclidean TSP in which each target is a disk that must be intersected. The method adapts the…

计算几何 · 计算机科学 2026-04-07 Khoi Duong

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

This paper proposes a novel landscape smoothing method for the symmetric Traveling Salesman Problem (TSP). We first define the Homotopic Convex (HC) transformation of a TSP as a convex combination of a well-constructed simple TSP and the…

神经与进化计算 · 计算机科学 2020-03-17 Jialong Shi , Jianyong Sun , Qingfu Zhang , Kai Ye