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Some Aspects of the Discrete Geo/G/1 Type Cyclic Waiting Systems

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Distributed Computer and Communication Networks (DCCN 2018)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 919))

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Abstract

Earlier we have investigated the discrete-time cyclic-waiting system in the case of geometrically distributed interarrival time and general service time distribution. We obtained the generating functions of ergodic distributions both for the queue length and the waiting time, we got the stability condition in different forms. In this paper we show their coincidence, and find a relation between the zero probabilities for the two models. We also compute the mean values for the queue length and the waiting time.

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References

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  6. Lakatos, L.: On the queue length in the discrete cyclic-waiting system of Geo/G/1 type. In: Vishnevskiy, V.M., Samouylov, K.E., Kozyrev, D.V. (eds.) DCCN 2016. CCIS, vol. 678, pp. 121–131. Springer, Cham (2016). https://doi.org/10.1007/978-3-319-51917-3_12

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Correspondence to Laszlo Lakatos .

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Lakatos, L. (2018). Some Aspects of the Discrete Geo/G/1 Type Cyclic Waiting Systems. In: Vishnevskiy, V., Kozyrev, D. (eds) Distributed Computer and Communication Networks. DCCN 2018. Communications in Computer and Information Science, vol 919. Springer, Cham. https://doi.org/10.1007/978-3-319-99447-5_25

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  • DOI: https://doi.org/10.1007/978-3-319-99447-5_25

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-99446-8

  • Online ISBN: 978-3-319-99447-5

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