Simulation of queuing system with refusals

The paper deals with the formal theoretical basis of analytical, simulation and optimization modeling of single-channel and multichannel queuing systems with refusals with restrictions on the length of the queue characteristic of subject areas related to the security of the transport complex, technological and industrial systems. The concept of the use of fuzzy triangular numbers to set the service flow distribution laws. As an analytical platform for the study of selected package AnyLogic, which combines all existing simulation paradigm. Practical testing of the models was carried out on a series of practically important tasks of security and operation of water transport.