By Anatol Rapoport
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Additional info for Mathematical Models in the Social and Behavioral Sciences
During max probing, the window grows slowly initially to ﬁnd the new maximum nearby, and after some time of slow growth, if it does not ﬁnd the new maximum, it switches to a faster increase, which consists of an additive increase phase. During this phase cwnd is incremented by a large ﬁxed increment. The good performance of TCP BIC come from the slow increase around MWS and linear increase during additive increase and max probing. Figure 4(a) presents the overall behavior of the cwnd. 6 TCP CUBIC In 2005 Rhee and Xu proposed TCP CUBIC , an enhanced version of their previous TCP BIC variant.
S• = k=1 smin k − an overall number of the serviced requests by the Chs of RNk . = min(s0 , x0 − smin 3. smin • )− a number of the serviced 0-requests at eNB. 0 √ − smin 4. r0 = x0 − smin • 0 − a number of requests in the buﬀer of eNB after 0-requests are serviced, taking into account that the requests serviced by Chs of RNk arrive at the same quantity to their buﬀers from the corresponding Chs of eNB. k−1 √ 5. nk = min(sk − smin k , r0 − i=1 δ(xi , ri )ni )− a number of requests serviced at eNB and headed for the RNk , but which do not have any free space in the buﬀers of RNk .
One may observe that under these conditions the total required network capacity is varied up to Wireless Millimeter-Wave Mesh Networks: Design and Scheduling 25 Fig. 4. Average and maximum path delay in ms against the number of 100 mbit 3-hops virtual channels requests. Fig. 5. Average granted capacity to the requested ratio. 26 V. Vishnevsky et al. Fig. 6. Average base station throughput. 5 Mbps per station which is more then 1000 Mbps (the capacity the station may provide for virtual channels transmission).
Mathematical Models in the Social and Behavioral Sciences by Anatol Rapoport