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On Limit Theorem in Some Service Systems

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The aim of the paper is to study a service system model introduced by I. Kaj and M. Taqqu. A limit theorem for the process of integral workload on the service system is proved. This theorem generalizes the corresponding result of I. Kaj and M. Taqqu, because the weak convergence in the Skorokhod space is established.

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Authors and Affiliations

  1. St.Petersburg City Palace of Youth Creativity, Anichkov Lyceum, St.Petersburg, Russia

    E. S. Garai

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  1. E. S. Garai
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Correspondence to E. S. Garai.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 431, 2014, pp. 56–71.

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Garai, E.S. On Limit Theorem in Some Service Systems. J Math Sci 214, 456–466 (2016). https://doi.org/10.1007/s10958-016-2789-y

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  • DOI: https://doi.org/10.1007/s10958-016-2789-y

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