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Blocking and delay analysis of single-wavelength optical buffer with delay constrained packets

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Abstract

Within the communication networks, a delayed constrained data packet is the one that will be dropped if not being served before a certain deadline time, which causes data packet loss affecting the quality of service (QoS). In this paper, we study the blocking probability and the mean delay of such delay constrained packets in an asynchronous single-wavelength optical buffer in optical packet switching networks, where the packet arrival process follows the Poisson process and the packet-length distribution is assumed to be general. We obtain the integral equations of the modeled system and the exact expressions of blocking probabilities and the mean delays. Numerical examples are provided to validate the results with interesting observations being highlighted.

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Authors and Affiliations

  1. School of Computer Science and Engineering, Yulin Normal University, Yulin, Guangxi, People’s Republic of China

    Hongxu Lu

  2. School of Mathematics and Statistics, Guangxi Normal University, Guilin, Guangxi, People’s Republic of China

    Shengda Tang

  3. Department of Computer Science, Central China Normal University, Wuhan, Hubei, People’s Republic of China

    Liansheng Tan & Wei Zhang

Authors
  1. Hongxu Lu
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  2. Shengda Tang
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  3. Liansheng Tan
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  4. Wei Zhang
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Corresponding author

Correspondence to Liansheng Tan.

Additional information

The work described in this paper was supported by National Natural Science Foundation of China (Nos. 61370107 and 61672258), and Program on the high level innovation team and outstanding scholars in Universities of Guangxi Province.

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Lu, H., Tang, S., Tan, L. et al. Blocking and delay analysis of single-wavelength optical buffer with delay constrained packets. Photon Netw Commun 35, 11–19 (2018). https://doi.org/10.1007/s11107-017-0720-1

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  • DOI: https://doi.org/10.1007/s11107-017-0720-1

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