Abstract. With the use of cybernetic approach, a mathematical model is constructed for communicating queuing systems. Conflicting input flows of the first queuing system and one of the input flows of the second queuing system are formed in a synchronous Markov random environment with a finite number of states. The other input flow of the second queuing system consists of retrial customers arriving from the first queuing system. The transition of a customer from the first queuing system to the second queuing system takes a random amount of time. Service is performed by a cyclic algorithm with fixed durations.
Keywords: cybernetic control system, conflicting flows, random environment, retrials, cyclic algorithm, mathematical model.
Зорин Андрей Владимирович,
кандидат физ.-мат. наук, доцент Нижегородского государственного университета
им. Н.И. Лобачевского, Россия,
e-mail: zoav1602@gmail.com.