Modeling of Mathematical Processing of Physics Experimental Data in the Form of a Non-Markovian Multi-Resource Queuing System

  • E. Yu. LisovskayaEmail author
  • A. N. Moiseev
  • S. P. Moiseeva
  • M. Pagano

The paper presents a mathematical model for processing of physics experimental data in the form of a non-Markovian infinite-server multi-resource queuing system with Markov modulated Poisson process arrivals and arbitrary service time. It is proved that the joint steady-state probability distribution of the total volume of the occupied resource of each type converges to a multidimensional Gaussian distribution under the asymptotic condition of the growing intensity of the arrival process. The parameters of this asymptotic distribution are derived.


processing of experimental data resource queuing systems 


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • E. Yu. Lisovskaya
    • 1
    Email author
  • A. N. Moiseev
    • 1
  • S. P. Moiseeva
    • 1
  • M. Pagano
    • 2
  1. 1.National Research Tomsk State UniversityTomskRussia
  2. 2.University of PisaPisaItaly

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