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Coordinating agents through hazardous environments, such as aid-delivering drones navigating conflict zones or field robots traversing deployment areas filled with obstacles, poses fundamental planning challenges. We introduce and analyze…

Computer Science and Game Theory · Computer Science 2026-03-20 Andrzej Kaczmarczyk , Šimon Schierreich , Nicholas Axel Tanujaya , Haifeng Xu

Graph-theoretic tools and techniques have seen wide use in the multi-agent systems literature, and the unpredictable nature of some multi-agent communications has been successfully modeled using random communication graphs. Across both…

Optimization and Control · Mathematics 2017-09-18 Matthew T. Hale

Modern artificial intelligence relies on networks of agents that collect data, process information, and exchange it with neighbors to collaboratively solve optimization and learning problems. This article introduces a novel distributed…

Optimization and Control · Mathematics 2026-01-15 Diego Deplano , Nicola Bastianello , Mauro Franceschelli , Karl H. Johansson

We present a novel algorithm for game-theoretic trajectory planning, tailored for settings in which agents can only observe one another in specific regions of the state space. Such problems arise naturally in the context of multi-robot…

Multiagent Systems · Computer Science 2024-06-18 Kushagra Gupta , David Fridovich-Keil

We prove that any polynomial-time $\alpha(n)$-approximation algorithm for the $n$-vertex metric asymmetric Traveling Salesperson Problem yields a polynomial-time $O(\alpha(C))$-approximation algorithm for the mixed and windy Capacitated Arc…

Data Structures and Algorithms · Computer Science 2019-11-14 René van Bevern , Christian Komusiewicz , Manuel Sorge

In this paper, we have considered two fully synchronous $\mathcal{OBLOT}$ robots having no agreement on coordinates entering a finite unoriented grid through a door vertex at a corner, one by one. There is a resource that can move around…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-15 Pritam Goswami , Avisek Sharma , Satakshi Ghosh , Buddhadeb Sau

Given a network of agents, we study the problem of designing a distributed algorithm that computes k independent weighted means of the network's initial conditions (namely, the agents agree on a k-dimensional space). Akin to average…

Optimization and Control · Mathematics 2024-10-23 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

This paper extends the Arc Orienteering Problem (AOP) to large road networks with time-dependent travel times and time-dependent value gain, termed Twofold Time-Dependent AOP or 2TD-AOP for short. In its original definition, the NP-hard…

Data Structures and Algorithms · Computer Science 2016-09-28 Gregor Jossé , Ying Lu , Tobias Emrich , Matthias Renz , Cyrus Shahabi , Ugur Demiryurek , Matthias Schubert

Research on crowd simulation has important and wide range of applications. The main difficulty is how to lead all particles with a same and simple rule, especially when particles are numerous. In this paper, we firstly propose a two…

Numerical Analysis · Mathematics 2022-09-08 Tianlu Chen , Chang Yang , Léon Matar Tine , Zhichang Guo

We consider a bichromatic two-center problem for pairs of points. Given a set $S$ of $n$ pairs of points in the plane, for every pair, we want to assign a red color to one point and a blue color to the other, in such a way that the value…

Computational Geometry · Computer Science 2019-05-02 Haitao Wang , Jie Xue

We study the convergence in expectation of the Random Coordinate Descent algorithm (RCD) for solving optimal resource allocations problems in open multi-agent systems, i.e., multi-agent systems that are subject to arrivals and departures of…

Multiagent Systems · Computer Science 2021-09-30 Charles Monnoyer de Galland , Renato Vizuete , Julien M. Hendrickx , Paolo Frasca , Elena Panteley

The model of population protocols refers to a large collection of simple indistinguishable entities, frequently called {\em agents}. The agents communicate and perform computation through pairwise interactions. We study fast and space…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Leszek Gąsieniec , Grzegorz Stachowiak , Przemysław Uznański

We study a fundamental cooperative message-delivery problem on the plane. Assume $n$ robots which can move in any direction, are placed arbitrarily on the plane. Robots each have their own maximum speed and can communicate with each other…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

This paper presents a formulation for deterministically calculating optimized paths for a multiagent system consisting of heterogeneous vehicles. The key idea is the calculation of the shortest time for each agent to reach every grid point…

Multiagent Systems · Computer Science 2024-09-16 Jaekwang Kim , Hyung-Jun Park , Aditya Penumarti , Jaejeong Shin

This paper considers the problem of localization and circumnavigation of an unknown stationary target by a group of autonomous agents using only local bearing measurements. We assume that no direct communication or exchange of information…

Optimization and Control · Mathematics 2023-12-07 Donglin Sui , Mohammad Deghat

The gathering problem requires a set of mobile agents, arbitrarily positioned at different nodes of a network to group within finite time at the same location, not fixed in advanced. The extensive existing literature on this problem shares…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-12 Giuseppe Antonio Di Luna , Paola Flocchini , Linda Pagli , Giuseppe Prencipe , Nicola Santoro , Giovanni Viglietta

Consider the Euclidean traveling salesman problem with $n$ random points on the plane. Suppose that one of the points is shifted to a new random location. This gives us a new optimal path. Consider such shifts for each of the $n$ points. Do…

Probability · Mathematics 2024-10-30 Sourav Chatterjee , Souvik Ray

In this paper, we investigate a special case of the static aircraft landing problem (ALP) with the objective to optimize landing sequences and landing times for a set of air planes. The problem is to land the planes on one or multiple…

Data Structures and Algorithms · Computer Science 2016-11-18 Abhishek Awasthi , Oliver Kramer , Jörg Lässig

The resource allocation problem consists of the optimal distribution of a budget between agents in a group. We consider such a problem in the context of open systems, where agents can be replaced at some time instances. These replacements…

Multiagent Systems · Computer Science 2022-07-20 Renato Vizuete , Charles Monnoyer de Galland , Julien M. Hendrickx , Paolo Frasca , Elena Panteley

We present a multi-agent learning algorithm, ALMA-Learning, for efficient and fair allocations in large-scale systems. We circumvent the traditional pitfalls of multi-agent learning (e.g., the moving target problem, the curse of…

Multiagent Systems · Computer Science 2021-06-22 Panayiotis Danassis , Florian Wiedemair , Boi Faltings