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On Convergence of Multidimensional Workload with Dominant Service Duration to a Stable Process

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A service system model introduced by I. Kai and M. S. Takku is considered. A limit theorem on the convergence of finite-dimensional distributions of the total workload process with multidimensional resource to the corresponding distributions of multivariate stable process is proved. The situation is considered when the service durations prevails over the values of multidimensional resources.

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References

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Authors and Affiliations

  1. St.Petersburg City Palace of Youth Creativity, 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. 495, 2020, pp. 121–134.

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Garai, E.S. On Convergence of Multidimensional Workload with Dominant Service Duration to a Stable Process. J Math Sci 268, 612–620 (2022). https://doi.org/10.1007/s10958-022-06231-x

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  • DOI: https://doi.org/10.1007/s10958-022-06231-x

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