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This paper addresses a variant of multi-agent path finding (MAPF) in continuous space and time. We present a new solving approach based on satisfiability modulo theories (SMT) to obtain makespan optimal solutions. The standard MAPF is a…

Artificial Intelligence · Computer Science 2019-03-26 Pavel Surynek

In multi-agent path finding (MAPF) the task is to find non-conflicting paths for multiple agents. In this paper we focus on finding suboptimal solutions for MAPF for the sum-of-costs variant. Recently, a SAT-based approached was developed…

Artificial Intelligence · Computer Science 2017-07-04 Pavel Surynek , Ariel Felner , Roni Stern , Eli Boyarski

In multi-agent path finding (MAPF), the task is to find non-conflicting paths for multiple agents from their initial positions to given individual goal positions. MAPF represents a classical artificial intelligence problem often addressed…

Artificial Intelligence · Computer Science 2021-11-15 Martin Čapek , Pavel Surynek

Multi-agent path finding in continuous space and time with geometric agents MAPF$^\mathcal{R}$ is addressed in this paper. The task is to navigate agents that move smoothly between predefined positions to their individual goals so that they…

Artificial Intelligence · Computer Science 2020-04-29 Pavel Surynek

In this paper, we plan missions for a fleet of agents in undirected graphs, such as grids, with multiple goals. In contrast to regular multi-agent path-finding, the solver finds and updates the assignment of goals to the agents on its own.…

Multiagent Systems · Computer Science 2025-12-30 Stefan Edelkamp

Multi-Agent Pathfinding (MAPF) is the problem of finding paths for multiple agents such that every agent reaches its goal and the agents do not collide. Most prior work on MAPF was on grids, assumed agents' actions have uniform duration,…

Artificial Intelligence · Computer Science 2019-06-17 Anton Andreychuk , Konstantin Yakovlev , Dor Atzmon , Roni Stern

The multi-agent path finding (MAPF) problem asks to find a set of paths on a graph such that when synchronously following these paths the agents never encounter a conflict. In the most widespread MAPF formulation, the so-called Classical…

Multiagent Systems · Computer Science 2025-05-16 Artem Agafonov , Konstantin Yakovlev

In this paper we present a new approach to solve the satisfiability problem (SAT), based on boolean networks (BN). We define a mapping between a SAT instance and a BN, and we solve SAT problem by simulating the BN dynamics. We prove that BN…

Artificial Intelligence · Computer Science 2011-02-01 Andrea Roli , Michela Milano

In multi-agent path finding (MAPF) the task is to navigate agents from their starting positions to given individual goals. The problem takes place in an undirected graph whose vertices represent positions and edges define the topology.…

Multiagent Systems · Computer Science 2019-07-31 Pavel Surynek , T. K. Satish Kumar , Sven Koenig

This paper reviews the recent literature on solving the Boolean satisfiability problem (SAT), an archetypal NP-complete problem, with the help of machine learning techniques. Despite the great success of modern SAT solvers to solve large…

Artificial Intelligence · Computer Science 2023-10-25 Wenxuan Guo , Junchi Yan , Hui-Ling Zhen , Xijun Li , Mingxuan Yuan , Yaohui Jin

We discuss milestones on the tour towards DPLL(MAPF), a multi-agent path finding (MAPF) solver fully integrated with the Davis-Putnam-Logemann-Loveland (DPLL) propositional satisfiability testing algorithm through satisfiability modulo…

Artificial Intelligence · Computer Science 2019-07-18 Pavel Surynek

We present a new algorithm for determining the satisfiability of conjunctions of non-linear polynomial constraints over the reals, which can be used as a theory solver for satisfiability modulo theory (SMT) solving for non-linear real…

Symbolic Computation · Computer Science 2021-06-17 Erika Ábrahám , James H. Davenport , Matthew England , Gereon Kremer

Multi-agent path finding (MAPF) attracts considerable attention in artificial intelligence community as well as in robotics, and other fields such as warehouse logistics. The task in the standard MAPF is to find paths through which agents…

Artificial Intelligence · Computer Science 2021-05-11 Pavel Surynek

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

Multi-Agent Path Finding (MAPF) seeks collision-free paths for multiple agents from their respective starting locations to their respective goal locations while minimizing path costs. Although many MAPF algorithms were developed and can…

Multiagent Systems · Computer Science 2024-12-24 Shuai Zhou , Shizhe Zhao , Zhongqiang Ren

We study a dynamic version of multi-agent path finding problem (called D-MAPF) where existing agents may leave and new agents may join the team at different times. We introduce a new method to solve D-MAPF based on conflict-resolution. The…

Artificial Intelligence · Computer Science 2020-09-23 Basem Atiq , Volkan Patoglu , Esra Erdem

In the multi-agent path finding problem (MAPF) we are given a set of agents each with respective start and goal positions. The task is to find paths for all agents while avoiding collisions aiming to minimize an objective function. Two such…

Artificial Intelligence · Computer Science 2018-12-31 Pavel Surynek

Satisfiability-based verification techniques, leveraging modern Boolean satisfiability (SAT) and Satisfiability Modulo Theories (SMT) solvers, have demonstrated efficacy in addressing practical problem instances within program analysis.…

Logic in Computer Science · Computer Science 2025-09-23 Markus Krahl , Matthias Güdemann , Stefan Wallentowitz

The multi-agent path finding (MAPF) problem is a combinatorial search problem that aims at finding paths for multiple agents (e.g., robots) in an environment (e.g., an autonomous warehouse) such that no two agents collide with each other,…

Artificial Intelligence · Computer Science 2021-09-20 Aysu Bogatarkan

In this paper a deep reinforcement based multi-agent path planning approach is introduced. The experiments are realized in a simulation environment and in this environment different multi-agent path planning problems are produced. The…

Machine Learning · Computer Science 2021-10-05 Mert Çetinkaya
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