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Related papers: Multi-Agent Search-Type Problems on Polygons

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We propose faster algorithms for the following three optimization problems on $n$ collinear points, i.e., points in dimension one. The first two problems are known to be NP-hard in higher dimensions. 1- Maximizing total area of disjoint…

Computational Geometry · Computer Science 2018-07-27 Ahmad Biniaz , Prosenjit Bose , Paz Carmi , Anil Maheshwari , J. Ian Munro , Michiel Smid

The need for a rapid-to-deploy solution for providing wireless cellular services can be realized by unmanned aerial vehicle base stations (UAV-BSs). To the best of our knowledge, this letter is the first in literature that studies a novel…

Information Theory · Computer Science 2017-09-18 Mohamed Alzenad , Amr El-Keyi , Halim Yanikomeroglu

This paper studies a combined space partitioning and network flow optimization problem, with applications to large-scale power, transportation, or communication systems. In dense wireless networks, one may want to simultaneously optimize…

Optimization and Control · Mathematics 2025-09-16 Théo Laurentin , Patrick Coirault , Emmanuel Moulay , Antoine Lesage-Landry , Jerome Le Ny

We consider the following distributed pursuit-evasion problem. A team of mobile agents called searchers starts at an arbitrary node of an unknown $n$-node network. Their goal is to execute a search strategy that guarantees capturing a fast…

Discrete Mathematics · Computer Science 2021-01-19 Dariusz Dereniowski , Dorota Urbańska

The resource allocation problem of optimal assignment of the clients to the available access points in 60 GHz millimeterWave wireless access networks is investigated. The problem is posed as a multiassignment optimisation problem. The…

Networking and Internet Architecture · Computer Science 2013-04-09 George Athanasiou , Pradeep Chathuranga Weeraddana , Carlo Fischione

Aerial base stations (ABSs) mounted on unmanned aerial vehicles (UAVs) are capable of extending wireless connectivity to ground users (GUs) across a variety of scenarios. However, it is an NP-hard problem with exponential complexity in $M$…

Information Theory · Computer Science 2025-05-06 Yiling Wang , Jiangbin Lyu , Liqun Fu

In multi-agent search planning for a randomly moving and camouflaging target, we examine heterogeneous searchers that differ in terms of their endurance level, travel speed, and detection ability. This leads to a convex mixed-integer…

Optimization and Control · Mathematics 2023-11-03 Miguel Lejeune , Johannes O. Royset , Wenbo Ma

We discuss C-MP and C-MAPF, generalizations of the classical Motion Planning (MP) and Multi-Agent Path Finding (MAPF) problems on a directed graph G. Namely, we enforce an upper bound on the number of agents that occupy each member of a…

Multiagent Systems · Computer Science 2024-04-10 Stefano Ardizzoni , Luca Consolini , Marco Locatelli , Irene Saccani

Unmanned aerial vehicles (UAVs) can be utilized as aerial base stations (ABSs) to provide wireless connectivity for ground users (GUs) in various emergency scenarios. However, it is a NP-hard problem with exponential complexity in $M$ and…

Information Theory · Computer Science 2023-12-19 Jiangbin Lyu , Xu Chen , Jiefeng Zhang , Liqun Fu

We consider the online planning problem for a team of agents to discover and track an unknown and time-varying number of moving objects from onboard sensor measurements with uncertain measurement-object origins. Since the onboard sensors…

Multiagent Systems · Computer Science 2024-07-09 Hoa Van Nguyen , Ba-Ngu Vo , Ba-Tuong Vo , Hamid Rezatofighi , Damith C. Ranasinghe

We consider linear search for an escaping target whose speed and initial position are unknown to the searcher. A searcher (an autonomous mobile agent) is initially placed at the origin of the real line and can move with maximum speed $1$ in…

Discrete Mathematics · Computer Science 2024-04-24 Jared Coleman , Dmitry Ivanov , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

Several recently developed Multi-Agent Path Finding (MAPF) solvers scale to large MAPF instances by searching for MAPF plans on 2 levels: The high-level search resolves collisions between agents, and the low-level search plans paths for…

Artificial Intelligence · Computer Science 2017-03-08 Hang Ma , T. K. Satish Kumar , Sven Koenig

We study a mobile wireless sensor network (MWSN) consisting of multiple mobile sensors or robots. Three key factors in MWSNs, sensing quality, energy consumption, and connectivity, have attracted plenty of attention, but the interaction of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-20 Jun Guo , Hamid Jafarkhani

Avoiding collisions is one of the vital tasks for systems of autonomous mobile agents. We focus on the problem of finding continuous coordinated paths for multiple mobile disc agents in a 2-d environment with polygonal obstacles. The…

Artificial Intelligence · Computer Science 2014-02-18 Pavel Janovský , Michal Čáp , Jiří Vokřínek

We generalize the classical cow-path problem [7, 14, 38, 39] into a question that is relevant for collective foraging in animal groups. Specifically, we consider a setting in which k identical (probabilistic) agents, initially placed at…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-25 Ofer Feinerman , Amos Korman , Zvi Lotker , Jean-Sébastien Sereni

We study the problem of motion planning for a collection of $n$ labeled unit disc robots in a polygonal environment. We assume that the robots have revolving areas around their start and final positions: that each start and each final is…

Robotics · Computer Science 2023-06-16 Pankaj K. Agarwal , Tzvika Geft , Dan Halperin , Erin Taylor

This paper investigates the agent design for solving the wireless resource allocation problem without sufficient channel state information (CSI), which cannot be effectively solved via conventional method. In the considered wireless agent…

Systems and Control · Electrical Eng. & Systems 2026-04-21 Ran Yi , Ruopeng Xu , Dongshu Zhao , Zhaoyang Zhang , Baolin Chen , Kai-Kit Wong , Hyundong Shin , Zhaohui Yang

In multi-agent systems, should limited resources be concentrated into a few capable agents or distributed among many simpler ones? This work formulates the split over $n$ resource sharing problem where a group of $n$ agents equally shares a…

The geometric hitting set problem is one of the basic geometric combinatorial optimization problems: given a set $P$ of points, and a set $\mathcal{D}$ of geometric objects in the plane, the goal is to compute a small-sized subset of $P$…

Computational Geometry · Computer Science 2015-01-15 Norbert Bus , Shashwat Garg , Nabil H. Mustafa , Saurabh Ray

A natural variant of the classical online $k$-server problem is the Weighted $k$-server problem, where the cost of moving a server is its weight times the distance through which it moves. Despite its apparent simplicity, the weighted…

Data Structures and Algorithms · Computer Science 2024-10-10 Nikhil Ayyadevara , Ashish Chiplunkar , Amatya Sharma