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A periodic solution of the takacs equation

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Literature cited

  1. G. S. Evdokimova, “A multilinear queueing system with a periodic arrivals stream,” Avtom. Telemekh., No. 4, 62–65 (1974).

    Google Scholar 

  2. G. S. Evdokimova, “On the distribution of waiting time for a periodic arrivals stream,” Izv. Akad. Nauk SSSR, Tekh. Kibern., No. 3, 114–118 (1974).

    Google Scholar 

  3. J. M. Harrison and A. J. Lemoine, “Limit theorem for periodic queues,” J. Appl. Prob.,14, No. 3, 566–576 (1977).

    Google Scholar 

  4. E. Reich, “On an integrodifferential equation of Takacs. I,” Ann. Math. Stat.,29, 563–570 (1958).

    Google Scholar 

  5. L. G. Afanas'eva and E. V. Bulinskaya, Random Processes in Queueing and Inventory Management Theory [in Russian], Moscow State Univ. (1980).

  6. A. J. Lemoine, “On queues with periodic Poisson input,” J. Appl. Prob.,18, No. 4, 889–900 (1981).

    Google Scholar 

  7. A. A. Borovkov, Stochastic Processes in Queueing Theory [in Russian], Nauka, Moscow (1972).

    Google Scholar 

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Translated from Problemy Ustoichivosti Stokhasticheskikh Modelei— Trudy Seminara, pp. 27–34, 1984.

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Afanas'eva, L.G., Lustina, A.A. A periodic solution of the takacs equation. J Math Sci 35, 2307–2312 (1986). https://doi.org/10.1007/BF01105647

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  • DOI: https://doi.org/10.1007/BF01105647

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