English

Multi-Goal Multi-Agent Path Finding via Decoupled and Integrated Goal Vertex Ordering

Artificial Intelligence 2020-09-14 v1

Abstract

We introduce multi-goal multi agent path finding (MAPFMG^{MG}) which generalizes the standard discrete multi-agent path finding (MAPF) problem. While the task in MAPF is to navigate agents in an undirected graph from their starting vertices to one individual goal vertex per agent, MAPFMG^{MG} assigns each agent multiple goal vertices and the task is to visit each of them at least once. Solving MAPFMG^{MG} not only requires finding collision free paths for individual agents but also determining the order of visiting agent's goal vertices so that common objectives like the sum-of-costs are optimized. We suggest two novel algorithms using different paradigms to address MAPFMG^{MG}: a heuristic search-based search algorithm called Hamiltonian-CBS (HCBS) and a compilation-based algorithm built using the SMT paradigm, called SMT-Hamiltonian-CBS (SMT-HCBS). Experimental comparison suggests limitations of compilation-based approach.

Keywords

Cite

@article{arxiv.2009.05161,
  title  = {Multi-Goal Multi-Agent Path Finding via Decoupled and Integrated Goal Vertex Ordering},
  author = {Pavel Surynek},
  journal= {arXiv preprint arXiv:2009.05161},
  year   = {2020}
}
R2 v1 2026-06-23T18:27:38.322Z