A finite queuing system with one server, Poisson input flow, arbitrary service time distribution, and hysteretic policy for arrival rate control is considered. An analytical method is proposed for determination of the stationary distribution of the number of customers in the system. Several numerical examples are given.
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Original Russian Text © A.V. Pechinkin, R.V. Razumchik, 2013, published in Informatsionnye Protsessy, 2013, Vol. 13, No. 3, pp. 125–140.
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Pechinkin, A.V., Razumchik, R.V. Stationary characteristics of M 2|G|1|r system with hysteretic policy for arrival rate control. J. Commun. Technol. Electron. 58, 1282–1291 (2013). https://doi.org/10.1134/S1064226913120152