Skip to main content
Log in

Dependence of performance indices of a call center on the distribution of calls’ sojourn time in the orbit

  • Systems Analysis
  • Published:
Cybernetics and Systems Analysis Aims and scope

The operation of a call center is described in the form of a retrial queuing system. The dependence of its performance indices on the Markovian and two-phase Erlang distributions of calls’ sojourn time in the orbit is considered. An analytical model of an M / M / c / / / E 2 retrial queuing system is developed. An asymptotic analysis of some characteristics of M / M / c / 0 / 2/ / M and M / M / c / 0 / 2 / / E 2 systems is performed. An application is developed for solving M / M / c / 0 / N / / N / / E 2 and M / M / c / 0 / N / / M systems using sparse matrices.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. B. V. Gnedenko and I. N. Kovalenko, Introduction to Queuing Theory [in Russian], KomKniga, Moscow (2005).

    Google Scholar 

  2. E. V. Koba, “Stability condition for M/D/1 retrial queuing system with a limited waiting time,” Cybernetics and Systems Analysis, No. 2, 312–314 (2000).

  3. E. V. Koba, “Stability conditions for some typical retrial queues,” Cybernetics and Systems Analysis, No. 1, 100–103 (2005).

  4. G. I. Falin and J. G. C. Templeton, Retrial Queues, Chapmen & Hall, London (1997).

    MATH  Google Scholar 

  5. M. S. Aguir, F. Karaesmen, Z. Aksin, and F. Chauvet, “The impact of retrials on call center performance,” OR Spectrum, 26, No. 3, 353–376 (2004).

    Article  MATH  MathSciNet  Google Scholar 

  6. S. Pustova, “Modeling call center operation with taking into account repeated attempts of subscribers,” Visnyk NAU, 3, No. 29, 21–24 (2006).

    Google Scholar 

  7. O. V. Koba and S. V. Pustova, “An analytical model of call center operation,” Dop. NAN Ukr., No. 2, 19–25 (2007).

  8. S. V. Pustova, “A statistical model of call center operation,” in: Proc. VIIIth Intern. Sci.-Techn. Conf. “AVIA-2007,” Vol. 1, NAU, Kyiv (2007), pp. 13.61–13.64.

    Google Scholar 

  9. L. Kleinrock, Queuing Theory [Russian translation], Mashinostr., Moscow (1979).

    Google Scholar 

  10. R. P. Tewarson, Sparse Matrices [Russian translation], Mir, Moscow (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. V. Pustova.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 2, pp. 170–183, March–April 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pustova, S.V. Dependence of performance indices of a call center on the distribution of calls’ sojourn time in the orbit. Cybern Syst Anal 45, 314–325 (2009). https://doi.org/10.1007/s10559-009-9095-3

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10559-009-9095-3

Keywords

Navigation