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References
V. A. Malyshev, Classification of two-dimensional positive random walks and almost linear semimartingales, Soviet Math. Dokl., 13 (1972), pp. 526–528.
V. A. Malyshev and M. V. Menshikov, Ergodicity, continuity and analiticity of countable Marcov chains, Trans. Moskow Math. Soc., 39 (1979), pp. 2–48.
G. Fayolle, n random walks arising in queuering systems: ergodicity and transience via quadratic forms as Lyapounov functions I, Queueing Systems: Theory and Appl., S (1989), pp. 167–184.
L. Takacs, Theory of Queues, Oxford Univ. Press, New York, 1962.
B. Natvig, On the transient state probabilities for a queueing model where potential customers are discouraged by queue length. J. Appl. Probab., 11, (1974), pp. 345–354.
V. Doorn, The transient state probabilities for a queueing model where potential cuestomers are discouranged by queue length, 18 (1981), pp. 499–506.
J. Kieger and J. Wolfowitz, On the theory of queues with many servers, Trans. mer. Math. Soc., 78 (1955), pp. 1–18.
L. G. Afanas'eva and E. V. Bulinskaja, Stochastic Processes in the Theory of Queues Storages, Moscow State Univ. Publ., Moscow, 1980. (In Russion.)
L. G. Afanas'eva, On the output in the queueing model with imputient customers, Izv. Akad. Nauk SSSR, Ser. Techn. Kibern., 3 (1966), pp. 57–65. (In Russian.)
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Afanas'eva, L.G. (1993). On the ergodicity condition of random walks with a periodic control sequence. In: Kalashnikov, V.V., Zolatarev, V.M. (eds) Stability Problems for Stochastic Models. Lecture Notes in Mathematics, vol 1546. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084499
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DOI: https://doi.org/10.1007/BFb0084499
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