A service system model introduced by I. Kaj and M. S. Taqqu is considered. We prove a limit theorem on the convergence of finite-dimensional distributions of the integral workload process with a multidimensional resource to the corresponding distributions of a multidimensional stable process.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 466, 2017, pp. 96–108.
Translated by S. Yu. Pilyugin.
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Garai, E.S. On the Convergence of a Multidimensional Workload in a Service System to a Stable Process. J Math Sci 244, 762–770 (2020) doi:10.1007/s10958-020-04649-9