Timescale of interest in traffic measurement for link bandwidth allocation design

  • Authors:
  • Yonghwan Kim;San-qi Li

  • Affiliations:
  • Department of Electrical and Computer Engineering, University of Texas at Austin, Austin, TX;Department of Electrical and Computer Engineering, University of Texas at Austin, Austin, TX

  • Venue:
  • INFOCOM'96 Proceedings of the Fifteenth annual joint conference of the IEEE computer and communications societies conference on The conference on computer communications - Volume 2
  • Year:
  • 1996

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Abstract

Consider the link bandwidth allocation for transport of correlated trafic through a queueing system under a maximum allowable delay constraint dmax. We decomposed the traffic into three frequency regions: low-frequency traffic in 0 L, high-frequency traffic in |ω| ≥ ωH and midfrequency traffic in ωL H. The zero-frequency component (dc term) of the traffic provides the average input rate which corresponds to the minimum link bandwidth requirement. Subject to delay constmint dmax, we identify ωL = 0.001π/dmax and ωH = 2π/dmax. Hence, the transport of low-frequency traffic exceeds the limit of dmax-constrained buffer capacity; its link bandwidth is essentially captured by its peak rate. In contrast, for transport of high-frequency traffic the dmax-constrained buffering i s most effective and no additional link bandwidth is required. Essentially, the solution of ωL and ωH plays a role as "sampling theory" in traffic measurement for buger capacity design and link bandwidth allocation. Equivalently an the time domain, the timescale of low-frequency traffic is longer than or equal to 200dmax the timescale of high-frequency trafic is shorter than or equal to dmax. Since the link bandwidth allocation of low- and high-frequency traffic requires no measurement of second-order statistics, the timescale of interest for traffic measurement must be identified in [dmax, 200dmax].