Multi-Agent Pathfinding with Non-Unit Integer Edge Costs via Enhanced Conflict-Based Search and Graph Discretization

Fuente: arXiv
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Auteurs principaux: Fan, Hongkai, Xie, Qinjing, Ouyang, Bo, Wang, Yaonan, Yan, Zhi, He, Jiawen, Fang, Zheng
Format: Preprint
Publié: 2026
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author Fan, Hongkai
Xie, Qinjing
Ouyang, Bo
Wang, Yaonan
Yan, Zhi
He, Jiawen
Fang, Zheng
author_facet Fan, Hongkai
Xie, Qinjing
Ouyang, Bo
Wang, Yaonan
Yan, Zhi
He, Jiawen
Fang, Zheng
contents Multi-Agent Pathfinding (MAPF) plays a critical role in various domains. Traditional MAPF methods typically assume unit edge costs and single-timestep actions, which limit their applicability to real-world scenarios. MAPFR extends MAPF to handle non-unit costs with real-valued edge costs and continuous-time actions, but its geometric collision model leads to an unbounded state space that compromises solver efficiency. In this paper, we propose MAPFZ, a novel MAPF variant on graphs with non-unit integer costs that preserves a finite state space while offering improved realism over classical MAPF. To solve MAPFZ efficiently, we develop CBS-NIC, an enhanced Conflict-Based Search framework incorporating time-interval-based conflict detection and an improved Safe Interval Path Planning (SIPP) algorithm. Additionally, we propose Bayesian Optimization for Graph Design (BOGD), a discretization method for non-unit edge costs that balances efficiency and accuracy with a sub-linear regret bound. Extensive experiments demonstrate that our approach outperforms state-of-the-art methods in runtime and success rate across diverse benchmark scenarios.
format Preprint
id arxiv_https___arxiv_org_abs_2604_05416
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Multi-Agent Pathfinding with Non-Unit Integer Edge Costs via Enhanced Conflict-Based Search and Graph Discretization
Fan, Hongkai
Xie, Qinjing
Ouyang, Bo
Wang, Yaonan
Yan, Zhi
He, Jiawen
Fang, Zheng
Artificial Intelligence
I.2.1; I.2.6; I.2.9
Multi-Agent Pathfinding (MAPF) plays a critical role in various domains. Traditional MAPF methods typically assume unit edge costs and single-timestep actions, which limit their applicability to real-world scenarios. MAPFR extends MAPF to handle non-unit costs with real-valued edge costs and continuous-time actions, but its geometric collision model leads to an unbounded state space that compromises solver efficiency. In this paper, we propose MAPFZ, a novel MAPF variant on graphs with non-unit integer costs that preserves a finite state space while offering improved realism over classical MAPF. To solve MAPFZ efficiently, we develop CBS-NIC, an enhanced Conflict-Based Search framework incorporating time-interval-based conflict detection and an improved Safe Interval Path Planning (SIPP) algorithm. Additionally, we propose Bayesian Optimization for Graph Design (BOGD), a discretization method for non-unit edge costs that balances efficiency and accuracy with a sub-linear regret bound. Extensive experiments demonstrate that our approach outperforms state-of-the-art methods in runtime and success rate across diverse benchmark scenarios.
title Multi-Agent Pathfinding with Non-Unit Integer Edge Costs via Enhanced Conflict-Based Search and Graph Discretization
topic Artificial Intelligence
I.2.1; I.2.6; I.2.9
url https://arxiv.org/abs/2604.05416