On limit theorem in some service systems
Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 21, Tome 431 (2014), pp. 56-71

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A service system model introduced by I. Kaj and M. Taqqu is considered. We prove a limit theorem for a process of integral workload on service system. This theorem is generalize a corresponding result of I. Kaj and M. Taqqu, since a weak convergence in Skorokhod space is established.
@article{ZNSL_2014_431_a3,
     author = {E. S. Garai},
     title = {On limit theorem in some service systems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {56--71},
     publisher = {mathdoc},
     volume = {431},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_431_a3/}
}
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E. S. Garai. On limit theorem in some service systems. Zapiski Nauchnykh Seminarov POMI, Probability and statistics. Part 21, Tome 431 (2014), pp. 56-71. http://geodesic.mathdoc.fr/item/ZNSL_2014_431_a3/