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This paper introduces a new approach to solving a continuous-time version of the multi-agent path finding problem. The algorithm translates the problem into an extension of the classical Boolean satisfiability problem, satisfiability modulo…

Multiagent Systems · Computer Science 2023-12-18 Tomáš Kolárik , Stefan Ratschan , Pavel Surynek

Multi-Agent Path Finding (MAPF) is a fundamental problem in robotics and AI, with numerous applications in real-world scenarios. One such scenario is filming scenes with multiple actors, where the goal is to capture the scene from multiple…

Robotics · Computer Science 2023-10-23 Aditya Rauniyar , Jiaoyang Li , Sebastian Scherer

Among sub-optimal 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, preventing deadlock…

Optimization and Control · Mathematics 2024-04-10 S. Ardizzoni , I. Saccani , L. Consolini , M. Locatelli

In a multi-agent pathfinding (MAPF) problem, agents need to navigate from their start to their goal locations without colliding into each other. There are various MAPF algorithms, including Windowed Hierarchical Cooperative A*, Flow…

Artificial Intelligence · Computer Science 2019-06-18 Devon Sigurdson , Vadim Bulitko , Sven Koenig , Carlos Hernandez , William Yeoh

Cooperative driving at signal-free intersections, which aims to improve driving safety and efficiency for connected and automated vehicles, has attracted increasing interest in recent years. However, existing cooperative driving strategies…

Systems and Control · Electrical Eng. & Systems 2021-04-29 Huaxin Pei , Yuxiao Zhang , Yi Zhang , Shuo Feng

The convex feasibility problem (CFP) is to find a feasible point in the intersection of finitely many convex and closed sets. If the intersection is empty then the CFP is inconsistent and a feasible point does not exist. However,…

Optimization and Control · Mathematics 2018-04-27 Yair Censor , Maroun Zaknoon

We study the computational complexity of multi-agent path finding (MAPF). Given a graph $G$ and a set of agents, each having a start and target vertex, the goal is to find collision-free paths minimizing the total distance traveled. To…

Multiagent Systems · Computer Science 2022-03-16 Tzvika Geft , Dan Halperin

With the development of robotics, there are growing needs for real time motion planning. However, due to obstacles in the environment, the planning problem is highly non-convex, which makes it difficult to achieve real time computation…

Optimization and Control · Mathematics 2018-05-22 Changliu Liu , Chung-Yen Lin , Masayoshi Tomizuka

Path planning for multiple robots (MRPP) represents a task of finding non-colliding paths for robots through which they can navigate from their initial positions to specified goal positions. The problem is usually modeled using undirected…

Robotics · Computer Science 2021-03-09 Pavel Surynek

Multi-Agent Path-Finding (MAPF) focuses on the collaborative planning of paths for multiple agents within shared spaces, aiming for collision-free navigation. Conventional planning methods often overlook the presence of other agents, which…

Robotics · Computer Science 2025-11-04 S Nordström , Y Bai , B Lindqvist , G Nikolakopoulos

This paper presents a "cooperative vehicle sorting" strategy that seeks to optimally sort connected and automated vehicles (CAVs) in a multi-lane platoon to reach an ideally organized platoon. In the proposed method, a CAV platoon is…

Systems and Control · Electrical Eng. & Systems 2020-03-17 Jiaming Wu , Soyoung Ah , Yang Zhou , Pan Liu , Xiaobo Qu

The problem of finding conflict-free trajectories for multiple agents of identical circular shape, operating in shared 2D workspace, is addressed in the paper and decoupled, e.g., prioritized, approach is used to solve this problem. Agents'…

Artificial Intelligence · Computer Science 2017-03-16 Konstantin Yakovlev , Anton Andreychuk

Many real-world scenarios require multiple agents to coordinate in shared environments, while balancing trade-offs between multiple, potentially competing objectives. Current multi-objective multi-agent path finding (MO-MAPF) algorithms…

Artificial Intelligence · Computer Science 2025-10-14 Pulkit Rustagi , Kyle Hollins Wray , Sandhya Saisubramanian

Multi-Agent Path Finding (MAPF) focuses on planning collision-free paths for multiple agents. However, during the execution of a MAPF plan, agents may encounter unexpected delays, which can lead to inefficiencies, deadlocks, or even…

Multiagent Systems · Computer Science 2025-01-14 He Jiang , Muhan Lin , Jiaoyang Li

Optimal power flow (OPF) is a critical optimization problem for power systems to operate at points where cost or other operational objectives are optimized. Due to the non-convexity of the set of feasible OPF operating points, it is…

Optimization and Control · Mathematics 2025-03-03 Daniel Turizo , Diego Cifuentes , Anton Leykin , Daniel K. Molzahn

We introduce a cooperative Bayesian optimization problem for optimizing black-box functions of two variables where two agents choose together at which points to query the function but have only control over one variable each. This setting…

Machine Learning · Computer Science 2024-03-08 Ali Khoshvishkaie , Petrus Mikkola , Pierre-Alexandre Murena , Samuel Kaski

Multi-agent path finding (MAPF) in large networks is computationally challenging. An approach for MAPF is prioritized planning (PP), in which agents plan sequentially according to their priority. Albeit a computationally efficient approach…

Multiagent Systems · Computer Science 2025-01-22 Patrick Scheffe , Julius Kahle , Bassam Alrifaee

Many multi-robot applications require tasks to be completed efficiently and in the correct order, so that downstream operations can proceed at the right time. Multi-agent path finding with precedence constraints (MAPF-PC) is a well-studied…

Robotics · Computer Science 2026-04-01 Viraj Parimi , Brian C. Williams

Conflict-Based Search (CBS) is a powerful algorithmic framework for optimally solving classical multi-agent path finding (MAPF) problems, where time is discretized into the time steps. Continuous-time CBS (CCBS) is a recently proposed…

Artificial Intelligence · Computer Science 2021-03-03 Anton Andreychuk , Konstantin Yakovlev , Eli Boyarski , Roni Stern

In this paper, we study the shortest path problem (SPP) with multiple source-destination pairs (MSD), namely MSD-SPP, to minimize average travel time of all shortest paths. The inherent traffic capacity limits within a road network…

Artificial Intelligence · Computer Science 2024-09-04 Jiaming Yin , Weixiong Rao , Yu Xiao , Keshuang Tang