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Multi-Agent Motion Planning (MAMP) is the problem of computing feasible paths for a set of agents given individual start and goal states. Given the hardness of MAMP, most of the research related to multi-agent systems has focused on…

Robotics · Computer Science 2020-03-05 Irving Solis , Read Sandström , James Motes , Nancy M. Amato

Boolean satisfiability (SAT) problem is of fundamental importance in computer science and many application domains. For Grover's algorithm, solving the SAT problem requires $\mathcal{O}(\sqrt{2^n})$ queries--where n denotes the number of…

Quantum Physics · Physics 2026-04-14 He Wang , Jinyang Yao

Multi-Agent Path Finding (MAPF) requires collision-free trajectories for multiple agents on a shared graph, often with the objective of minimizing the sum-of-costs (SOC). Many optimal and bounded-suboptimal solvers rely on time-expanded…

Multiagent Systems · Computer Science 2026-04-08 Fernando Salanova , Eduardo Montijano , Cristian Mahulea

Conflict-Based Search (CBS) is a widely used algorithm for solving multi-agent pathfinding (MAPF) problems optimally. The core idea of CBS is to run hierarchical search, when, on the high level the tree of solutions candidates is explored,…

Artificial Intelligence · Computer Science 2022-09-21 Ilya Ivanashev , Anton Andreychuk , Konstantin Yakovlev

Multi-agent Pathfinding (MAPF) problem generally asks to find a set of conflict-free paths for a set of agents confined to a graph and is typically solved in a centralized fashion. Conversely, in this work, we investigate the decentralized…

Artificial Intelligence · Computer Science 2023-10-03 Alexey Skrynnik , Anton Andreychuk , Maria Nesterova , Konstantin Yakovlev , Aleksandr Panov

In this paper we propose the approach for constructing partitionings of hard variants of the Boolean satisfiability problem (SAT). Such partitionings can be used for solving corresponding SAT instances in parallel. For the same SAT instance…

Artificial Intelligence · Computer Science 2015-10-23 Alexander Semenov , Oleg Zaikin

SAT technology has proven to be surprisingly effective in a large variety of domains. However, for the Weighted CSP problem dedicated algorithms have always been superior. One approach not well-studied so far is the use of SAT in…

Artificial Intelligence · Computer Science 2025-01-14 Aleksandra Petrova , Javier Larrosa , Emma Rollón

Satisfiability problem (SAT) is a cornerstone of computational complexity with broad industrial applications, and it remains challenging to optimize modern SAT solvers in real-world settings due to their intricate architectures. While…

Artificial Intelligence · Computer Science 2025-07-31 Yiwen Sun , Furong Ye , Zhihan Chen , Ke Wei , Shaowei Cai

Boolean Satisfiability (SAT) is arguably the archetypical NP-complete decision problem. Progress in SAT solving algorithms has motivated an ever increasing number of practical applications in recent years. However, many practical uses of…

Logic in Computer Science · Computer Science 2014-02-17 Joao Marques-Silva , Mikolas Janota

The boolean satisfiability (SAT) problem asks whether there exists an assignment of boolean values to the variables of an arbitrary boolean formula making the formula evaluate to True. It is well-known that all NP-problems can be coded as…

Machine Learning · Computer Science 2024-10-22 Christopher R. Serrano , Jonathan Gallagher , Kenji Yamada , Alexei Kopylov , Michael A. Warren

Multi-Agent Path finding (MAPF) is the problem of finding paths for a set of agents such that each agent reaches its desired destination while avoiding collisions with the other agents. This problem arises in many robotics applications,…

Multiagent Systems · Computer Science 2026-02-24 Raz Beck , Roni Stern

The majority of multi-agent system (MAS) implementations aim to optimise agents' policies with respect to a single objective, despite the fact that many real-world problem domains are inherently multi-objective in nature. Multi-objective…

Multiagent Systems · Computer Science 2020-11-17 Roxana Rădulescu , Patrick Mannion , Diederik M. Roijers , Ann Nowé

Multi-agent path finding (MAPF) is the problem of moving agents to the goal vertex without collision. In the online MAPF problem, new agents may be added to the environment at any time, and the current agents have no information about…

Multiagent Systems · Computer Science 2023-01-12 Mingkai Tang , Boyi Liu , Yuanhang Li , Hongji Liu , Ming Liu , Lujia Wang

Multi-Agent Path Finding (MAPF) involves determining paths for multiple agents to travel simultaneously and collision-free through a shared area toward given goal locations. This problem is computationally complex, especially when dealing…

Artificial Intelligence · Computer Science 2026-03-02 Paul Friedrich , Yulun Zhang , Michael Curry , Ludwig Dierks , Stephen McAleer , Jiaoyang Li , Tuomas Sandholm , Sven Seuken

The task of the multi-agent pathfinding (MAPF) problem is to navigate a team of agents from their start point to the goal points. However, this setup is unsuitable in the assembly line scenario, which is periodic with a long working hour.…

Multiagent Systems · Computer Science 2025-05-15 Mingkai Tang , Lu Gan , Kaichen Zhang

The primary objective of Multi-Agent Pathfinding (MAPF) is to plan efficient and conflict-free paths for all agents. Traditional multi-agent path planning algorithms struggle to achieve efficient distributed path planning for multiple…

Artificial Intelligence · Computer Science 2024-07-18 Zhenyu Song , Ronghao Zheng , Senlin Zhang , Meiqin Liu

Existing multi-agent path finding (MAPF) solvers do not account for uncertain behavior of uncontrollable agents. We present a novel variant of Enhanced Conflict-Based Search (ECBS), for both one-shot and lifelong MAPF in dynamic…

Multiagent Systems · Computer Science 2025-07-31 Kegan J. Strawn , Thomy Phan , Eric Wang , Nora Ayanian , Sven Koenig , Lars Lindemann

We propose Differentiable Satisfiability and Differentiable Answer Set Programming (Differentiable SAT/ASP) for multi-model optimization. Models (answer sets or satisfying truth assignments) are sampled using a novel SAT/ASP solving…

Artificial Intelligence · Computer Science 2019-01-01 Matthias Nickles

Continuous-time Conflict Based-Search (CCBS) has long been viewed as the standard optimal baseline for multi-agent path finding in continuous time (MAPFR), yet recent critiques show that the theoretically described CCBS can fail to…

Multiagent Systems · Computer Science 2025-09-25 Alvin Combrink , Sabino Francesco Roselli , Martin Fabian

Boolean Satisfiability (SAT) problems are critical in fields such as artificial intelligence and cryptography, where efficient solutions are essential. Conventional probabilistic solvers often encounter scalability issues due to complex…