Abstract:
A queuing system with an infinite number of lines is considered for the case in which there is a nonstationary Poisson incoming flow and an arbitrarily distributed servicing time. A formula is obtained for the correlation function of the random process that indicates the event "at instant $t$ there were $n$ busy lines in the system." This result is used to compute the dispersion of the estimate for the stationary state probabilities. Certain approximate formulas are obtained for the dispersion under small traffic.
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