cs.MA · 2605.06056 Copy arXiv ID · May 7, 2026 Save Multiagent Stochastic Shortest Path Problem Authors: Martin Jonáš , Antonín Kučera , Vojtěch Kůr , Jan Mačák , Vojtěch Řehák
Organizations: Faculty of Informatics, Masaryk University, Czechia
Abstract We introduce and study the multi-agent stochastic shortest path (MSSP) problem, in which k k k agents strive to reach a target state, aiming to minimize the expected time to reach the target by any agent. We analyze the computational and strategy-complexity of the problem in both autonomous and coordinated settings, and we design efficient strategy-synthesis algorithms. The algorithms are experimentally evaluated on instances of increasing size against natural baselines.
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May 12, 2026 · cs.MA J/K move · Enter open · S save
Takahiro Suzuki, Yuma Tamura, Keisuke Okumura
Tohoku University · National Institute of Advanced Industrial Science and Technology (AIST)
We study a graph pathfinding problem Distance-
r r r Independent Unlabeled Multi-Agent Pathfinding, finding a set of collision-free paths between two sets where agents must stay at pairwise distance at least
r + 1 r+1 r + 1 at all times. This additional constraint, generalizing collision modeling for classical MAPF, targets aspects of real-world multi-agent coordination. This additional distance constraint makes feasibility (i.e., whether a solution exists) PSPACE-complete, in contrast to standard (unlabeled) MAPF, where it can be decided in polynomial time. We address the challenge via two complementary approaches: (i) reduction-based optimal algorithms with a feasibility-preserving compression procedure, and (ii) a configuration generator-based search. Despite the hardness, empirical results show that our algorithm can handle hundreds of agents in a practical timeframe.