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Literature Cited
J. Kiefer and J. Wolfowitz, “On the theory of queues with many servers,” Trans. Am. Math. Soc.,78, 1–18 (1955).
A. A. Borovkov, Probabilistic Processes and Queueing Theory [in Russian], Nauka, Moscow (1972).
R. M. Loynes, “The stability of queues with non-independent inter-arrival and service times,” Proc. Cambr. Phil. Soc.,58, No. 3, 497–520 (1962).
I. Akhmarov and N. P. Leont'eva, “Conditions for convergence to limit processes and strengthening the law of large numbers for service systems,” Teor. Veroyatn. Ee Primen.,21, No. 3, 559–570 (1976).
J. L. Doob, Stochastic Processes, Wiley, New York (1953).
S. L. Brumell, “Some inequalities for parallel-server queues,” Op. Res.,19, 402–413 (1971).
N. P. Leont'ev, “Theorems on the convergence of continuous-time queueing and waiting-time processes,” Ukr. Mat. Zh.,28, No. 5, 612–621 (1976).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 19, No. 4, pp. 793–814, July–August, 1978.
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Leont'eva, N.P. Convergence to limit processes in multichannel service systems. Sib Math J 19, 560–575 (1978). https://doi.org/10.1007/BF00967728
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DOI: https://doi.org/10.1007/BF00967728