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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,…

Neural and Evolutionary Computing · Computer Science 2023-10-31 Sasan Mahmoudinazlou , Changhyun Kwon

Given a set $P$ of $n$ points with their pairwise distances, the traveling salesman problem (TSP) asks for a shortest tour that visits each point exactly once. A TSP instance is rectilinear when the points lie in the plane and the distance…

Data Structures and Algorithms · Computer Science 2019-07-24 Hadrien Cambazard , Nicolas Catusse

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…

Data Structures and Algorithms · Computer Science 2019-11-12 Yang Li , Junbin Gao , Mingyuan Bai , Chengjun Li , Gang Liu

This paper proposes KC-TSS: K-Clustered-Traveling Salesman Based Search, a failure resilient path planning algorithm for heterogeneous robot teams performing target search in human environments. We separate the sample path generation…

Robotics · Computer Science 2022-03-03 Minkyu Kim , Ryan Gupta , Luis Sentis

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…

Neural and Evolutionary Computing · Computer Science 2024-04-16 Stefan Wintersteller , Martin Uray , Michael Lehenauer , Stefan Huber

This paper presents the HFUT-LMC team's solution to the WWW 2025 challenge on Text-based Person Anomaly Search (TPAS). The primary objective of this challenge is to accurately identify pedestrians exhibiting either normal or abnormal…

Computer Vision and Pattern Recognition · Computer Science 2025-02-06 Jiayi He , Shengeng Tang , Ao Liu , Lechao Cheng , Jingjing Wu , Yanyan Wei

Routing problems are a class of combinatorial problems with many practical applications. Recently, end-to-end deep learning methods have been proposed to learn approximate solution heuristics for such problems. In contrast, classical…

Machine Learning · Computer Science 2021-12-06 Wouter Kool , Herke van Hoof , Joaquim Gromicho , Max Welling

Recently, deep reinforcement learning (DRL) models have shown promising results in solving NP-hard Combinatorial Optimization (CO) problems. However, most DRL solvers can only scale to a few hundreds of nodes for combinatorial optimization…

Machine Learning · Computer Science 2022-10-26 Ruizhong Qiu , Zhiqing Sun , Yiming Yang

Machine learning has increasingly been employed to solve NP-hard combinatorial optimization problems, resulting in the emergence of neural solvers that demonstrate remarkable performance, even with minimal domain-specific knowledge. To…

Optimization and Control · Mathematics 2025-05-27 Chengrui Gao , Haopu Shang , Ke Xue , Chao Qian

The Generalized Traveling Salesman Problem (GTSP) is one of the NP-hard combinatorial optimization problems. A variant of GTSP is E-GTSP where E, meaning equality, has the constraint: exactly one node from a cluster of a graph partition is…

Artificial Intelligence · Computer Science 2021-03-16 Camelia-M. Pintea

Reinforcement learning has recently shown promise in learning quality solutions in many combinatorial optimization problems. In particular, the attention-based encoder-decoder models show high effectiveness on various routing problems,…

Optimization and Control · Mathematics 2022-12-06 Aigerim Bogyrbayeva , Taehyun Yoon , Hanbum Ko , Sungbin Lim , Hyokun Yun , Changhyun Kwon

We present a black-box reduction from the path version of the Traveling Salesman Problem (Path TSP) to the classical tour version (TSP). More precisely, we show that given an $\alpha$-approximation algorithm for TSP, then, for any $\epsilon…

Discrete Mathematics · Computer Science 2019-07-25 Vera Traub , Jens Vygen , Rico Zenklusen

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…

Robotics · Computer Science 2025-01-15 Allen George Philip , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

Several studies have attempted to solve traveling salesman problems (TSPs) using various deep learning techniques. Among them, Transformer-based models show state-of-the-art performance even for large-scale Traveling Salesman Problems…

Machine Learning · Computer Science 2024-03-07 Minseop Jung , Jaeseung Lee , Jibum Kim

In this article, we present a novel formulation for the load-dependent traveling salesman problem (LD-TSP), in which travel cost (or energy expended) depends on the vehicle's current load. This problem is relevant for package delivery and…

Optimization and Control · Mathematics 2026-05-08 Deepak Prakash Kumar , Saurabh Belgaonkar , Sivakumar Rathinam , Swaroop Darbha , David W. Casbeer

This article explores an approach to addressing the Close Enough Traveling Salesman Problem (CETSP). The objective is to streamline the mathematical formulation by introducing reformulations that approximate the Euclidean distances and…

Artificial Intelligence · Computer Science 2025-07-08 Hiba Bederina

Tradable credit schemes (TCS) are an increasingly studied alternative to congestion pricing, given their revenue neutrality and ability to address issues of equity through the initial credit allocation. Modeling TCS to aid future design and…

Machine Learning · Computer Science 2025-04-14 Xiaoyi Wu , Ravi Seshadri , Filipe Rodrigues , Carlos Lima Azevedo

This paper reports on the first international competition on AI for the traveling salesman problem (TSP) at the International Joint Conference on Artificial Intelligence 2021 (IJCAI-21). The TSP is one of the classical combinatorial…

Travelling Salesman Problem (TSP) is one of the unsolved problems in computer science. TSP is NP Hard. Till now the best approximation ratio found for symmetric TSP is three by two by Christofides Algorithm more than forty years ago. There…

Data Structures and Algorithms · Computer Science 2021-04-27 Alok Chauhan , Madhusudan Verma

We consider the Travelling Salesman Problem with Vertex Requisitions, where for each position of the tour at most two possible vertices are given. It is known that the problem is strongly NP-hard. The proposed algorithm for this problem has…

Data Structures and Algorithms · Computer Science 2017-03-14 Anton Eremeev , Yulia Kovalenko