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International Conference on Information Technologies and Mathematical Modelling

ITMM 2016: Information Technologies and Mathematical Modelling - Queueing Theory and Applications pp 34–43Cite as

A Mathematical Model of an Insurance Company in the Form of a Queueing System with an Unlimited Number of Servers Considering One-Time Insurance Payments

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 638))

Abstract

This paper focuses on the research of a model of an insurance company with an unlimited insurance field considering implicit advertising and one-time insurance payments. Using the method of characteristic functions we obtained the probability distribution of a two-dimensional stochastic process of a number of risks that are insured in the company and a number of demands for one-time insurance payments. We also obtain expressions for the expected values and dispersions of components of a two-dimensional process. The total amount of insurance payments has been reviewed and its distribution found.

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References

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Author information

Authors and Affiliations

  1. Tomsk State University, Tomsk, Russia

    Diana Dammer

Authors
  1. Diana Dammer
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Corresponding author

Correspondence to Diana Dammer .

Editor information

Editors and Affiliations

  1. Belarusian State University , Minsk, Belarus

    Alexander Dudin

  2. Tomsk State University , Tomsk, Russia

    Alexander Gortsev

  3. Tomsk State University , Tomsk, Russia

    Anatoly Nazarov

  4. Kemerovo State University , Anzhero-Sudzhensk, Russia

    Rafael Yakupov

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© 2016 Springer International Publishing Switzerland

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Dammer, D. (2016). A Mathematical Model of an Insurance Company in the Form of a Queueing System with an Unlimited Number of Servers Considering One-Time Insurance Payments. In: Dudin, A., Gortsev, A., Nazarov, A., Yakupov, R. (eds) Information Technologies and Mathematical Modelling - Queueing Theory and Applications. ITMM 2016. Communications in Computer and Information Science, vol 638. Springer, Cham. https://doi.org/10.1007/978-3-319-44615-8_3

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  • DOI: https://doi.org/10.1007/978-3-319-44615-8_3

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-44614-1

  • Online ISBN: 978-3-319-44615-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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