The paper discusses the formal theoretical basis of analytical, simulation and optimization modeling and analysis of multichannel queueing systems with waiting (with the unlimited and limited queue). The study based on the use as an analytical platform, a simulation environment AnyLogic, which allows simulation and optimization experiments as well as to make a parametric analysis of the solutions and study the sensitivity. Practical testing of models based on the study of a wide range of tasks on modeling QS with the expectation from different subject areas. The basis of the methodology of modeling and optimization is the provision on the use as the optimization criterion (objective function) of the total reduced costs in servicing channels, and the loss in the queue. The research focused on the review and analysis of queuing systems with a different flow of events in the simulation environment AnyLogic simulation.