Single-channel queuing system with unlimited queue in AnyLogic

The paper discusses the theoretical and methodological foundations of analytical modeling of single-channel queuing systems. The dependences allowing to calculate the limit (final) the probability of the system states. The main research method of queuing system simulation method is selected discrete event simulation. In an environment simulation systems studied adopted a package AnyLogic, to which implemented all modern modeling paradigm. Built simulation model and a comparison of the results of the analytical and simulation techniques for queuing system - sea port, consisting of a raid that implements all maintenance and specialized cargo terminal that provides processing vessels (loading / unloading). In operation, the system has collected statistics of states with different laws of distribution of the courts service time at the terminal. The analysis and comparison of the performance limits of probability states of the system with those obtained on the basis of simulations. The conclusion about the adequacy of the models. Prospective studies are aimed at the review and analysis of multi-channel systems with a variety of disciplines and with the priorities of queues in service. The main purpose - to optimize the effectiveness of the functioning of the ship - terminal on the criterion of the total cost.