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In this paper we study a challenging variant of the multi-agent pathfinding problem (MAPF), when a set of agents must reach a set of goal locations, but it does not matter which agent reaches a specific goal - Anonymous MAPF (AMAPF).…

Multiagent Systems · Computer Science 2024-08-28 Stepan Dergachev , Konstantin Yakovlev

Conformal Prediction (CP) is a principled framework for quantifying uncertainty in blackbox learning models, by constructing prediction sets with finite-sample coverage guarantees. Traditional approaches rely on scalar nonconformity scores,…

Machine Learning · Statistics 2025-05-07 Gauthier Thurin , Kimia Nadjahi , Claire Boyer

This paper considers the application of Model Predictive Control (MPC) to a weighted coverage path planning (WCPP) problem. The problem appears in a wide range of practical applications, including search and rescue (SAR) missions. The basic…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Kilian Schweppe , Ludmila Moshagen , Georg Schildbach

Multi-Agent Path Finding (MAPF) is essential to large-scale robotic systems. Recent methods have applied reinforcement learning (RL) to learn decentralized polices in partially observable environments. A fundamental challenge of obtaining…

Robotics · Computer Science 2021-06-23 Ziyuan Ma , Yudong Luo , Hang Ma

The study addressed the problem of Anonymous Multi-Agent Path-finding (AMAPF). Unlike the classical formulation, where the assignment of agents to goals is fixed, in the anonymous MAPF setting it is irrelevant which agent reaches specific…

Multiagent Systems · Computer Science 2026-03-26 Stepan Dergachev , Dmitry Avdeev

The Coalition Formation with Spatial and Temporal constraints Problem (CFSTP) is a multi-agent task scheduling problem where the tasks are spatially distributed, with deadlines and workloads, and the number of agents is typically much…

Multiagent Systems · Computer Science 2020-08-14 Luca Capezzuto , Danesh Tarapore , Sarvapali D. Ramchurn

This paper addresses the challenges of real-time, large-scale, and near-optimal multi-agent pathfinding (MAPF) through enhancements to the recently proposed LaCAM* algorithm. LaCAM* is a scalable search-based algorithm that guarantees the…

Artificial Intelligence · Computer Science 2024-01-23 Keisuke Okumura

The 2D Multi-Agent Path Finding (MAPF) problem aims at finding collision-free paths for a number of agents, from a set of start locations to a set of goal positions in a known 2D environment. MAPF has been studied in theoretical computer…

Artificial Intelligence · Computer Science 2019-05-22 Gleb Belov , Liron Cohen , Maria Garcia de la Banda , Daniel Harabor , Sven Koenig , Xinrui Wei

Given a CNF formula $F$, we present a new algorithm for deciding the satisfiability (SAT) of $F$ and computing all solutions of assignments. The algorithm is based on the concept of \emph{cofactors} known in the literature. This paper is a…

Computational Complexity · Computer Science 2017-05-09 Madhav Desai , Virendra Sule

The problem of Multi-agent Path Finding (MAPF) consists in providing agents with efficient paths while preventing collisions. Numerous solvers have been developed so far since MAPF is critical for practical applications such as automated…

Multiagent Systems · Computer Science 2020-12-15 Keisuke Okumura , Yasumasa Tamura , Xavier Défago

Multi-Agent Path Finding (MAPF) is the problem of finding a set of collision-free paths for a team of agents. Although several MAPF methods which solve full-horizon MAPF have completeness guarantees, very few MAPF methods that plan partial…

Multiagent Systems · Computer Science 2025-09-22 Tiannan Zhang , Rishi Veerapaneni , Shao-Hung Chan , Jiaoyang Li , Maxim Likhachev

The Shortest-Path Problem in Graph of Convex Sets (SPP in GCS) is a recently developed optimization framework that blends discrete and continuous decision making. Many relevant problems in robotics, such as collision-free motion planning,…

We introduce a new bounding approach called Continuity* C*, which provides optimality guarantees for the Moving-Target Traveling Salesman Problem (MT-TSP). Our approach relaxes the continuity constraints on the agent's tour by partitioning…

Robotics · Computer Science 2024-12-04 Allen George Philip , Zhongqiang Ren , Sivakumar Rathinam , Howie Choset

We study Multi-Agent Path Finding for arrangements of labeled agents in the interior of a simply connected domain: Given a unique start and target position for each agent, the goal is to find a sequence of parallel, collision-free agent…

Computational Geometry · Computer Science 2024-09-11 Sándor P. Fekete , Ramin Kosfeld , Peter Kramer , Jonas Neutzner , Christian Rieck , Christian Scheffer

In general, there are two kinds of cooperative driving strategies, planning based strategy and ad hoc negotiation based strategy, for connected and automated vehicles (CAVs) merging problems. The planning based strategy aims to find the…

Systems and Control · Computer Science 2018-04-05 Huile Xu , Shuo Feng , Yi Zhang , Li Li

We explore the use of Artificial Potential Fields (APFs) to solve Multi-Agent Path Finding (MAPF) and Lifelong MAPF (LMAPF) problems. In MAPF, a team of agents must move to their goal locations without collisions, whereas in LMAPF, new…

Artificial Intelligence · Computer Science 2025-05-30 Arseniy Pertzovsky , Roni Stern , Ariel Felner , Roie Zivan

A model-based collaborative filtering (CF) approach utilizing fast adaptive randomized singular value decomposition (SVD) is proposed for the matrix completion problem in recommender system. Firstly, a fast adaptive PCA frameworkis…

Machine Learning · Computer Science 2025-04-08 Xiangyun Ding , Wenjian Yu , Yuyang Xie , Shenghua Liu

In this paper, a class of convex feasibility problems (CFPs) are studied for multi-agent systems through local interactions. The objective is to search a feasible solution to the convex inequalities with some set constraints in a…

Systems and Control · Computer Science 2016-12-16 Kaihong Lu , Gangshan Jing , Long Wang

Among sub-optimal Multi-Agent Path Finding (MAPF) solvers, rule-based algorithms are particularly appealing since they are complete. Even in crowded scenarios, they allow finding a feasible solution that brings each agent to its target,…

Multiagent Systems · Computer Science 2024-10-11 Irene Saccani , Stefano Ardizzoni , Luca Consolini , Marco Locatelli

Typical Multi-agent Path Finding (MAPF) solvers assume that agents move synchronously, thus neglecting the reality gap in timing assumptions, e.g., delays caused by an imperfect execution of asynchronous moves. So far, two policies enforce…

Multiagent Systems · Computer Science 2020-12-15 Keisuke Okumura , Yasumasa Tamura , Xavier Défago