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Generalised erlang loss formula

Generalised erlang loss formula

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A teletraffic model for a full availability loss system with a generalised Poisson input stream is proposed. The idea is based on the analytic continuation of the Poisson distribution and the erlang-B formula. The authors use techniques based on birth and death processes and state-dependent arrival rates. The advantages of simplicity and uniformity in representing both peaked and smooth traffic make the model attractive for modelling traffic in network analysis and synthesis.

References

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      • H. Akimaru , K. Kawashima . (1993) Teletraffic theory and applications.
    2. 2)
      • L.E.N. Delbrouck . A unified approximate evaluation of congestion functions forsmooth and peaky traffics. IEEE Trans. Commun. , 2 , 85 - 91
    3. 3)
      • A. Girard . (1990) Routing and dimensioning in circuit-switched networks.
    4. 4)
      • D.L. Jagerman . Some properties of Erlang loss functions. Bell Syst. Tech. J. , 3 , 525 - 551
    5. 5)
      • Kubasik, J.: `On some numerical methods for computation of erlang and engsetfunctions', 11th ITC, 1985, Kyoto, p. 5.2 B-3-1, 5.2 B-3-7.
    6. 6)
      • A.M. Viterbi , A.J. Viterbi . Erlang capacity of a power controlled CDMAsystem. IEEE Sel. Areas Commun. , 6 , 892 - 900
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