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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.21
Zorine A.V.

STOCHASTIC MODEL FOR COMMUNICATING QUEUING SYSTEMS WITH RETRIAL CUSTOMERS AND CYCLIC CONTROL IN RANDOM ENVIRONMENT

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.



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Зорин Андрей Владимирович,
кандидат физ.-мат. наук, доцент Нижегородского государственного университета
им. Н.И. Лобачевского, Россия,
e-mail: zoav1602@gmail.com.

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