Abstract
For finite-capacity queuing systems of the type M θ/G/1, convenient formulas for the ergodic distribution of the queue length are found, an estimate for the rate of convergence of the distribution of the queue length in the transient mode to the ergodic distribution is obtained, and computational algorithms for finding the rate of convergence are presented.
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References
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 9, pp. 1169–1178, September, 2007.
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Bratiichuk, A.M. Rate of convergence to ergodic distribution for queue length in systems of the type M θ/G/1/N . Ukr Math J 59, 1300–1312 (2007). https://doi.org/10.1007/s11253-007-0089-x
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DOI: https://doi.org/10.1007/s11253-007-0089-x