Temporal Cell Loss Behavior in an ATM Multiplexer with Heterogeneous Burst Input

Hiroshi SUZUKI  Shohei SATO  

IEICE TRANSACTIONS on Communications   Vol.E75-B   No.12   pp.1346-1353
Publication Date: 1992/12/25
Online ISSN: 
Print ISSN: 0916-8516
Type of Manuscript: Special Section PAPER (Special Issue on Teletraffic)
ATM,  cell loss,  dynamic behavior of overload traffic,  traffic control,  

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Cell losses due to statistical multiplexing of bursty traffic in ATM networks tend to be in clusters rather than uniformly scattered. Since the quality of service for users is quite sensitive to such bursty losses, it is necessary to characterize the temporal behavior of cell loss. This paper reports results obtained from investigating overload period and underload period in an ATM multiplexer with heterogeneous burst traffic input, using a bufferless model. The overload period is defined as the time interval when the instantaneous bit rate exceeds the output link capacity. With the bufferless model, we assume that all the instantaneous bit rate exceeding the link capacity is lost, and the loss rate is called "virtual cell loss probability". The virtual cell loss probability during the overload period, average overload period and underload period durations are analyzed. Numerical results show that the cell loss probability in overload periods and the average duration of overload periods (normalized by burst duration) are not very sensitive to link load or average rate/peak rate ratio of the burst, and that they are approximately on the order of peak bandwidth/link capacity ratio for the multiplexed burst. Furthermore, it is also shown that the mean underload duration is simply given as the inverse of the overall cell loss probability multiplied by the constant value inherently determined by peak bandwidth and link capacity. With these observations, applications to the call acceptance control using these measures are also presented.