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In order to deal with the high development time of exact and approximation algorithms for NP-hard combinatorial optimisation problems and the high running time of exact solvers, deep learning techniques have been used in recent years as an…

机器学习 · 计算机科学 2021-04-20 James Fitzpatrick , Deepak Ajwani , Paula Carroll

In the last few years, Neural Painting (NP) techniques became capable of producing extremely realistic artworks. This paper advances the state of the art in this emerging research domain by proposing the first approach for Interactive NP.…

计算机视觉与模式识别 · 计算机科学 2023-12-22 Elia Peruzzo , Willi Menapace , Vidit Goel , Federica Arrigoni , Hao Tang , Xingqian Xu , Arman Chopikyan , Nikita Orlov , Yuxiao Hu , Humphrey Shi , Nicu Sebe , Elisa Ricci

The Traveling Salesman Problem (TSP) is a classic and extensively studied problem with numerous real-world applications in artificial intelligence and operations research. It is well-known that TSP admits a constant approximation ratio on…

数据结构与算法 · 计算机科学 2025-12-02 Jingyang Zhao , Zimo Sheng , Mingyu Xiao

In this paper, we consider differential approximability of the traveling salesman problem (TSP). We show that TSP is $3/4$-differential approximable, which improves the currently best known bound $3/4 -O(1/n)$ due to Escoffier and Monnot in…

数据结构与算法 · 计算机科学 2020-12-29 Yuki Amano , Kazuhisa Makino

This paper introduces a computational method for generating metric Travelling Salesman Problem (TSP) instances having a large integrality gap. The method is based on the solution of an integer programming problem, called IH-OPT, that takes…

最优化与控制 · 数学 2023-02-08 Eleonora Vercesi , Stefano Gualandi , Monaldo Mastrolilli , Luca Maria Gambardella

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

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 moving target traveling salesman problem with obstacles (MT-TSP-O) is a generalization of the traveling salesman problem (TSP) where, as its name suggests, the targets are moving. A solution to the MT-TSP-O is a trajectory that visits…

机器人学 · 计算机科学 2024-10-28 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

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

This paper describes TSP exact solution of polynomial complexity. It is considered properties of proposed method. Effectiveness of proposed solution is illustrated by outcomes of computer modeling.

计算复杂性 · 计算机科学 2007-05-23 Vadim Yatsenko

In vehicle production factories, the vehicle painting process employs multiple robotic arms to simultaneously apply paint to car bodies advancing along a conveyor line. Designing paint paths for these robotic arms, which involves assigning…

机器人学 · 计算机科学 2026-01-05 Yuya Nagai , Hiromitsu Nakamura , Narito Shinmachi , Yuta Higashizono , Satoshi Ono

This study investigates the problem of traveling salesman problem with circular neighborhood (TSPCN). Instead of cities there are circles and each point on circle can be a potential visiting node. The problem is to find the minimum length…

最优化与控制 · 数学 2020-03-17 Arman Nedjatia , Béla Vizvárib

Multirobot systems for covering environments are increasingly used in applications like cleaning, industrial inspection, patrolling, and precision agriculture. The problem of covering a given environment using multiple robots can be…

多智能体系统 · 计算机科学 2020-01-10 Mirko Salaris , Alessandro Riva , Francesco Amigoni

The paper presents an O^*(1.2312^n)-time and polynomial-space algorithm for the traveling salesman problem in an n-vertex graph with maximum degree 3. This improves the previous time bounds of O^*(1.251^n) by Iwama and Nakashima and…

数据结构与算法 · 计算机科学 2017-08-08 Mingyu Xiao , Hiroshi Nagamochi

For the traveling salesman problem (TSP), the existing supervised learning based algorithms suffer seriously from the lack of generalization ability. To overcome this drawback, this paper tries to train (in supervised manner) a small-scale…

机器学习 · 计算机科学 2021-02-25 Zhang-Hua Fu , Kai-Bin Qiu , Hongyuan Zha

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

Holistic scene understanding includes semantic segmentation, surface normal estimation, object boundary detection, depth estimation, etc. The key aspect of this problem is to learn representation effectively, as each subtask builds upon not…

计算机视觉与模式识别 · 计算机科学 2023-11-08 Shuo Wang , Jing Li , Zibo Zhao , Dongze Lian , Binbin Huang , Xiaomei Wang , Zhengxin Li , Shenghua Gao

In the maximum traveling salesman problem (Max TSP) we are given a complete undirected graph with nonnegative weights on the edges and we wish to compute a traveling salesman tour of maximum weight. We present a fast combinatorial $\frac…

数据结构与算法 · 计算机科学 2016-03-22 Szymon Dudycz , Jan Marcinkowski , Katarzyna Paluch , Bartosz Rybicki

Robotic reproduction of oil paintings using soft brushes and pigments requires force-sensitive control of deformable tools, prediction of brushstroke effects, and multi-step stroke planning, often without human step-by-step demonstrations…

机器人学 · 计算机科学 2026-04-01 Yingke Wang , Hao Li , Yifeng Zhu , Hong-Xing Yu , Ken Goldberg , Li Fei-Fei , Jiajun Wu , Yunzhu Li , Ruohan Zhang