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The quadratic shortest path problem is the problem of finding a path in a directed graph such that the sum of interaction costs over all pairs of arcs on the path is minimized. We derive several semidefinite programming relaxations for the…

Optimization and Control · Mathematics 2017-08-23 Hao Hu , Renata Sotirov

Multi-Agent Path Finding (MAPF) in crowded environments presents a challenging problem in motion planning, aiming to find collision-free paths for all agents in the system. MAPF finds a wide range of applications in various domains,…

Robotics · Computer Science 2025-01-06 Phu Pham , Aniket Bera

Multi-Agent Path Finding (MAPF) is a problem of finding a sequence of movements for agents to reach their assigned location without collision. Centralized algorithms usually give optimal solutions, but have difficulties to scale without…

Multiagent Systems · Computer Science 2021-09-20 Poom Pianpak , Tran Cao Son

Efficient exploration is a well known problem in deep reinforcement learning and this problem is exacerbated in multi-agent reinforcement learning due the intrinsic complexities of such algorithms. There are several approaches to…

Artificial Intelligence · Computer Science 2025-07-11 Ashish Kumar

In this paper, we study the problem of distributed multi-agent optimization over a network, where each agent possesses a local cost function that is smooth and strongly convex. The global objective is to find a common solution that…

Optimization and Control · Mathematics 2019-08-02 Shi Pu , Angelia Nedić

We consider the optimal multi-agent persistent monitoring problem defined by a team of cooperating agents visiting a set of nodes (targets) on a graph with the objective of minimizing a measure of overall node state uncertainty. The…

Optimization and Control · Mathematics 2018-03-08 Nan Zhou , Christos G. Cassandras , Xi Yu , Sean B. Andersson

We consider the problem of controlling the movement of multiple cooperating agents so as to minimize an uncertainty metric associated with a finite number of targets. In a one-dimensional mission space, we adopt an optimal control framework…

Optimization and Control · Mathematics 2016-03-15 Nan Zhou , Xi Yu , Sean B. Andersson , Christos G. Cassandras

This paper explores the possibility of near-optimally solving multi-agent, multi-task NP-hard planning problems with time-dependent rewards using a learning-based algorithm. In particular, we consider a class of robot/machine scheduling…

Machine Learning · Computer Science 2023-08-15 Hyunwook Kang , Taehwan Kwon , Jinkyoo Park , James R. Morrison

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

This paper describes a number of distributed forward search algorithms for solving multi-agent planning problems. We introduce a distributed formulation of non-optimal forward search, as well as an optimal version, MAD-A*. Our algorithms…

Artificial Intelligence · Computer Science 2013-06-26 Raz Nissim , Ronen Brafman

We introduce and study the problem of planning a trajectory for an agent to carry out a scouting mission while avoiding being detected by an adversarial guard. This introduces an adversarial version of classical visibility-based planning…

Robotics · Computer Science 2019-02-26 Zhongshun Zhang , Yoonchang Sung , Lifeng Zhou , Jonathon M. Smereka , Joseph Lee , Pratap Tokekar

We consider the problem of determining the optimal composition of a heterogeneous multi-agent team for coverage problems by including costs associated with different agents and subject to an upper bound on the maximal allowable number of…

Systems and Control · Electrical Eng. & Systems 2020-06-30 Chuangchuang Sun , Shirantha Welikala , Christos G. Cassandras

This paper studies an optimal consensus problem for a group of heterogeneous high-order agents with unknown control directions. Compared with existing consensus results, the consensus point is further required to an optimal solution to some…

Optimization and Control · Mathematics 2020-07-28 Yutao Tang

This paper proposes an online path planning and motion generation algorithm for heterogeneous robot teams performing target search in a real-world environment. Path selection for each robot is optimized using an information-theoretic…

Robotics · Computer Science 2021-07-28 Minkyu Kim , Ryan Gupta , Luis Sentis

We investigate multi-agent navigation tasks, where multiple agents need to reach initially unassigned goals in a limited time. Classical planning-based methods suffer from expensive computation overhead at each step and offer limited…

Machine Learning · Computer Science 2024-12-03 Xinyi Yang , Xinting Yang , Chao Yu , Jiayu Chen , Wenbo Ding , Huazhong Yang , Yu Wang

Multi-agent motion planning (MAMP) is an important problem for autonomous systems with multiple agents. In this work we propose a two-step method for finding optimized and kinematically feasible solutions to MAMP problems. The first step…

Robotics · Computer Science 2026-05-05 Anja Hellander , Kristoffer Bergman , Daniel Axehill

Multi-agent target assignment and path planning (TAPF) are two key problems in intelligent warehouse. However, most literature only addresses one of these two problems separately. In this study, we propose a method to simultaneously solve…

Artificial Intelligence · Computer Science 2024-10-29 Qi Liu , Jianqi Gao , Dongjie Zhu , Zhongjian Qiao , Pengbin Chen , Jingxiang Guo , Yanjie Li

Consider the scenario where multiple agents have to move in an optimal way through a network, each one towards their ending position while avoiding collisions. By optimal, we mean as fast as possible, which is evaluated by a measure known…

Computational Complexity · Computer Science 2025-06-02 Foivos Fioravantes , Dušan Knop , Jan Matyáš Křišťan , Nikolaos Melissinos , Michal Opler

This paper presents a distributed, optimal, communication-aware trajectory planning algorithm for multi-robot systems. Building on prior work, it addresses the multi-robot communication-aware trajectory planning problem using a general…

Robotics · Computer Science 2024-08-12 Jeppe Heini Mikkelsen , Roberto Galeazzi , Matteo Fumagalli

Path finding problems involve identification of a plan for conflict free movement of agents over a common road network. Most approaches to this problem handle the agents as point objects, wherein the size of the agent is significantly…

Artificial Intelligence · Computer Science 2020-09-22 Shyni Thomas , Dipti Deodhare , M. N. Murty