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Related papers: Synchronized Traveling Salesman Problem

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In the Traveling Salesman Problem (TSP), a list of cities and the distances between them are given. The goal is to find the shortest possible route that visits each city exactly once and returns to the original city. The TSP has a wide…

Optimization and Control · Mathematics 2019-06-17 Johnny Seay , Edwin Gonzalez , Stephen Lowe , Jesse Crawford , Bryant Wyatt

This article deals with the consensus problem involving agents with time-varying singularities in the dynamics or communication in undirected graph networks. Existing results provide control laws which guarantee asymptotic consensus. These…

Systems and Control · Computer Science 2014-04-07 Nilanjan Roy Chowdhury , Srikant Sukumar

We study the problem of patrolling the nodes of a network collaboratively by a team of mobile agents, such that each node of the network is visited by at least one agent once in every $I(n)$ time units, with the objective of minimizing the…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-14 Shantanu Das , Giuseppe Antonio Di Luna , Leszek A. Gasieniec

In numerous artificial intelligence applications, the collaborative efforts of multiple intelligent agents are imperative for the successful attainment of target objectives. To enhance coordination among these agents, a distributed…

Machine Learning · Computer Science 2024-11-04 Shengchao Hu , Li Shen , Ya Zhang , Dacheng Tao

Recent works on cost based relaxations have improved Constraint Programming (CP) models for the Traveling Salesman Problem (TSP). We provide a short survey over solving asymmetric TSP with CP. Then, we suggest new implied propagators based…

Discrete Mathematics · Computer Science 2012-06-18 Jean-Guillaume Fages , Xavier Lorca

The Colored Points Traveling Salesman Problem (Colored Points TSP) is introduced in this work as a novel variation of the traditional Traveling Salesman Problem (TSP) in which the set of points is partitioned into multiple classes, each of…

Computational Geometry · Computer Science 2024-01-09 Saeed Asaeedi

Most networks are not static objects, but instead they change over time. This observation has sparked rigorous research on temporal graphs within the last years. In temporal graphs, we have a fixed set of nodes and the connections between…

Computer Science and Game Theory · Computer Science 2023-05-23 Davide Bilò , Sarel Cohen , Tobias Friedrich , Hans Gawendowicz , Nicolas Klodt , Pascal Lenzner , George Skretas

Traffic flow prediction is an important part of smart transportation. The goal is to predict future traffic conditions based on historical data recorded by sensors and the traffic network. As the city continues to build, parts of the…

Machine Learning · Statistics 2022-12-27 Yanan Xiao , Minyu Liu , Zichen Zhang , Lu Jiang , Minghao Yin , Jianan Wang

In this paper, we revisit the problem of classical \textit{meeting times} of random walks in graphs. In the process that two tokens (called agents) perform random walks on an undirected graph, the meeting times are defined as the expected…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-22 Ryota Eguchi , Fukuhito Ooshita , Michiko Inoue , Sébastien Tixeuil

We study the variant of the Euclidean Traveling Salesman problem where instead of a set of points, we are given a set of lines as input, and the goal is to find the shortest tour that visits each line. The best known upper and lower bounds…

Data Structures and Algorithms · Computer Science 2024-04-23 Antonios Antoniadis , Sándor Kisfaludi-Bak , Bundit Laekhanukit , Daniel Vaz

This paper proposes networked dynamics to solve resource allocation problems over time-varying multi-agent networks. The state of each agent represents the amount of used resources (or produced utilities) while the total amount of resources…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Mohammadreza Doostmohammadian , Alireza Aghasi , Mohammad Pirani , Ehsan Nekouei , Usman A. Khan , Themistoklis Charalambous

Two generalizations of the traveling salesman problem in which sites change their position in time are presented. The way the rank of different trajectory lengths changes in time is studied using the rank diversity. We analyze the…

Adaptation and Self-Organizing Systems · Physics 2018-07-30 Sergio Sánchez , Germinal Cocho , Jorge Flores , Carlos Gershenson , Gerardo Iñiguez , Carlos Pineda

We consider the following surveillance problem: Given a set $P$ of $n$ sites in a metric space and a set of $k$ robots with the same maximum speed, compute a patrol schedule of minimum latency for the robots. Here a patrol schedule…

Computational Geometry · Computer Science 2022-03-15 Peyman Afshani , Mark de Berg , Kevin Buchin , Jie Gao , Maarten Loffler , Amir Nayyeri , Benjamin Raichel , Rik Sarkar , Haotian Wang , Hao-Tsung Yang

We introduce a variant of the deterministic rendezvous problem for a pair of heterogeneous agents operating in an undirected graph, which differ in the time they require to traverse particular edges of the graph. Each agent knows the…

Data Structures and Algorithms · Computer Science 2014-06-10 Dariusz Dereniowski , Ralf Klasing , Adrian Kosowski , Łukasz Kuszner

We study dynamic network flows with uncertain input data under a robust optimization perspective. In the dynamic maximum flow problem, the goal is to maximize the flow reaching the sink within a given time horizon $T$, while flow requires a…

Discrete Mathematics · Computer Science 2018-05-07 Corinna Gottschalk , Arie M. C. A. Koster , Frauke Liers , Britta Peis , Daniel Schmand , Andreas Wierz

We study the problem of multi-agent online graph exploration, in which a team of k agents has to explore a given graph, starting and ending on the same node. The graph is initially unknown. Whenever a node is visited by an agent, its…

Data Structures and Algorithms · Computer Science 2024-03-26 Erik van den Akker , Kevin Buchin , Klaus-Tycho Foerster

A ride sharing problem is considered where we are given a graph, whose edges are equipped with a travel cost, plus a set of objects, each associated with a transportation request given by a pair of origin and destination nodes. A vehicle…

Discrete Mathematics · Computer Science 2016-06-10 Angelo Fanelli , Gianluigi Greco

We consider multi-agent systems with cooperative interactions and study the convergence to consensus in the case of time-dependent connections, with possible communication failure. We prove a new condition ensuring consensus: we define a…

Optimization and Control · Mathematics 2025-09-03 Mohamed Bentaibi , Laura Caravenna , Jean-Paul A. Gauthier , Francesco Rossi

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

The multi-path Traveling Salesman Problem with stochastic travel costs arises in hybrid vehicle routing applications designed for Smart City and City Logistics, where multiple paths exist between each pair of locations. Travel times along…

Optimization and Control · Mathematics 2026-05-15 Xiaochen Chou , Ludovica Di Marco , Enza Messina