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ABOUT PERIODIC STATES OF SYSTEMS OF MASSSERVICE WITH PERIODIC PARAMETERS

In this article periodic solution from the theory of quenes is considered For the M/M/n/m queue when the Poisson processes are time homogeneous is given and for arrivals the service time distribution exponential. Arrrivals follow a Poisson distribution with an arrival rate λ (t) that varies with time t and service times are exponential with a departure rate μ (t). The queue in discrete points is considered. The distance between discrete points equally period of λ (t) and μ (t). The queue in discrete points is formed a Markov chain. This Markov chain aperiodical. This aperiodical Markov chain have asymptotical stationary solution. If λ (t) and μ (t) continuous density and λ (t)= λ (t+T) , μ (t) = μ (t+T). The transition probabilities Рij (t) satisfy an equation of Kolmogorov

Anahtar Kelimeler:

Poisson distribution, Markov chain, asymptotical stationary solution, probability, exponential distribution.

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