Queueing Theory deals with problems where some restricted resource should be shared between competitive flow of requests. In this paper we use Queueing Theory methods to perform a quantitative analysis of a single-level single-mediator multi-agent system. In the system, several agents, coordinated by the mediator process user queries. We adopt matrix analytic methods to compute performance characteristics in terms of a queueing network of tree-like topology with cooperation of the servers. Results can be used for the logical and technical design and optimal resources sharing in multi-agent systems.
Moon Ho Lee, Aliaksandr Birukou, Alexander N. Dudi