Study of Queues’ Sizes in Tandem Intersections under Cyclic Control in Random Environment
Tandem queueing systems under cyclic control with readjustments are investigated. Conflict input flows are formed in a random synchronious environment. Transition of customers from the first system to the second system occurs with random speeds. Two communicating intersections give an example of such a tandem. The blocks of the systems are described nonlocally. A mathematical model is constructed in form of a multidimensional denumerable discrete-time Markov chain. Limit behaviour of queues’ sizes is studied.
KeywordsConflict input flows cyclic control random environment Markov chain limit theorems
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