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Study of Queues’ Sizes in Tandem Intersections under Cyclic Control in Random Environment

  • Andrei Zorine
Part of the Communications in Computer and Information Science book series (CCIS, volume 356)

Abstract

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.

Keywords

Conflict input flows cyclic control random environment Markov chain limit theorems 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Andrei Zorine
    • 1
  1. 1.N.I. Lobachevsky University of Nizhni NovgorodNizhni NovgorodRussia

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