References
F. A. Haight, “Queueing with balking,” Biometrika, vol. 44, pts. 3 and 4, December 1957.
T. Homma, “On a certain queueing process,” Rept. Statist. Application. Research Union. Japan. Scient. and Engrs. vol. 4, no. 1, 1955.
P. D. Finch, “Balking in the queueing system,” Acta Math. Acad. Sci. Hung., vol. 10, no. 2, 1959.
D. G. Kendall, “Stochastic processes occurring in the theory of queues and their analysis by the method of the imbedded Markov chain,” Ann. Math. Statist., vol. 24, 1953.
W. Feller, Introduction to the Theory of Probability and its Applications [Russian translation], Izd-vo, “Mir”, Moscow, 1964.
L. Takács, “On a queueing problem concerning telephone traffic,” Acta Math. Acad. Sci. Hung., vol. 8, 1957.
D. Blackwell, “A renewal theorem,” Duke Math. Journal, 15, 1948.
B. A. Sevast'yanov, “Ergodic theorem for Markov processes and its application to telephone lines with refusals,” Teoriya veroyatnostei i ee primeniya, vol. 2, 1, 1957.
W. Smith, “Renewal theory and related problems,” Matematika, collection of Russian translations, 5:3, 1961.
Kiefer and Wolfowitz, “On the theory of queue with many servers,” Trans. Amer. Math. Soc., vol. 78, 1, 1955.
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Klbernetika, Vol. 2, No. 4. pp. 57–63, 1966
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Afanas'eva, L.G., Martynov, A.V. An ergodicity condition for certain queueing systems. Cybern Syst Anal 2, 46–51 (1966). https://doi.org/10.1007/BF01071409
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DOI: https://doi.org/10.1007/BF01071409