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Discrete-time buffers with variable-length train arrivals

Discrete-time buffers with variable-length train arrivals

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An infinite capacity single server queueing system is considered, to which messages consisting of a variable number of fixed-length packets arrive at the rate of one packet per slot (‘train arrivals’). Assuming geometrically distributed message lengths, an exact closed-form expression for the probability generating function (pgf) of the buffer contents is obtained.

References

    1. 1)
      • H. Bruneel . Packet delay and queue length for statistical multiplexers withlow-speed access lines. Comput. Netw. ISDN Syst. , 12 , 1267 - 1277
    2. 2)
      • H. Bruneel , B. Steyaert , E. Desmet , G. Petit . Analytic derivation of tailprobabilities for queue lengths and waiting times in ATM multiserver queues. Eur. J. Oper. Res. , 563 - 572
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