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On the Waiting Time in the Discrete Cyclic–Waiting System of Geo/G/1 Type

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Distributed Computer and Communication Networks (DCCN 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 601))

Abstract

We continue to examine a discrete time queueing system where the service of a customer may start at the moment of arrival or at moments differing from it by the multiples of a given cycle time. We find the distribution and the mean value of waiting time in the case of general service time distribution.

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References

  1. Lakatos, L., Szeidl, L., Telek, M.: Introduction to Queueing Systems with Telecommunication Applications. Springer, USA (2013)

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  2. Koba, E.V.: On a GI/G/1 queueing system with repetition of requests for service and FCFS service discipline. Dopovidi NAN Ukrainy, no. 6, pp. 101–103 (2000) (in Russian)

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  3. Lakatos, L., Efrosinin, D.: Some aspects of waiting time in cyclic-waiting systems. Commun. Comput. Inf. Sci. 356, 115–121 (2013)

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  4. Lakatos, L., Efrosinin, D.: A discrete time probability model for the waiting time of optical signals. Commun. Comput. Inf. Sci. 279, 114–123 (2014)

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Authors and Affiliations

  1. Eotvos Lorand University, Budapest, Hungary

    Laszlo Lakatos

Authors
  1. Laszlo Lakatos
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Correspondence to Laszlo Lakatos .

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Editors and Affiliations

  1. V.A. Trapeznikov Institute of Control Sc, Russian Academy of Sciences V.A. Trapeznikov Institute of Control Sc, Moscow, Russia

    Vladimir Vishnevsky

  2. V.A. Trapeznikov Inst. of Control Scienc, Russian Academy of Sciences V.A. Trapeznikov Inst. of Control Scienc, Moscow, Russia

    Dmitry Kozyrev

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Lakatos, L. (2016). On the Waiting Time in the Discrete Cyclic–Waiting System of Geo/G/1 Type. In: Vishnevsky, V., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2015. Communications in Computer and Information Science, vol 601. Springer, Cham. https://doi.org/10.1007/978-3-319-30843-2_9

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  • DOI: https://doi.org/10.1007/978-3-319-30843-2_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30842-5

  • Online ISBN: 978-3-319-30843-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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