For this reason we de ne the control algorithm [81] as follows. in .NET Development QR in .NET For this reason we de ne the control algorithm [81] as follows. For this reason we de ne the control algorithm [81] as follows.QR Code JIS X 0510 barcode library with .netuse .net vs 2010 qr bidimensional barcode printer toget qr code jis x 0510 with .netPREDICTIVE FLOW CONTROL AND QoS recognize quick response code for .netUsing Barcode scanner for .NET Control to read, scan read, scan image in .NET applications.Control algorithm (N = 1 case) (1) De ne a virtual queueing process q1 (n) and set q1 (0) = 0. (2) q1 (n) = [q1 (n 1) + V1 (n) p ]+ . For n 0, we let V (n) = 0. (3) a1 (n) = [ p V1 (n + n 1 ) q1 (n + n 1 1)]+ . For n 0, we let a1 (n) = 0. For N NRT traf c sources the algorithm is modi ed as follows. Control algorithm (N > 1 case) (1) Set qi (0) = 0, 1 i N . (2) qi (n) = [qi (n 1) + Vi (n) p ]+ . For n 0, we let V (n) = 0. (3) ai (n) = [ p Vi (n + n i ) qi (n + n i 1)]+ /N . (4) For n 0, we let ai (n) = 0. 21.5.1.2 Performance example Three different alternatives for predictor are used [81]. In A1, the xed low-pass lter is chosen as HLPF (z) = (1/4)(1 + z 1 + z 2 + z 3 ). The MMSE predictor is designed as follows. First, a low-pass lter A1 is applied to the high-priority RT traf c. Next, a standard Mi (i) minimizing mean square error linear predictor HMMSE (z) with the form m=0 Bm z ni m is calculated based on the low-frequency part of the RT traf c. The nal MMSE predictor is z ni Hi (z) = HLPF (z)HMMSE (z). Note that HMMSE (z) will require explicit knowledge of the round-trip delays per- ow information n i . In A3 that information is approximated by an average value n 0 for all ows. The prediction error is de ned as ( j) = V ( j) V1 ( j). The queue length at the node of interest is bounded by [79]Bar Code barcode library for .netUsing Barcode scanner for .net vs 2010 Control to read, scan read, scan image in .net vs 2010 applications.q(n) q0 (n) + sup Render bar code in .netusing .net framework todevelop bar code for asp.net web,windows application0 n 0 n j=n 0 +1 Control qr code iso/iec18004 size with c#.netqr code size in c#( j) inf Control denso qr bar code size for .netto embed qr code iso/iec18004 and qrcode data, size, image with .net barcode sdk0 n 0 n Control qr code data with vbto attach qr code and qr-code data, size, image with visual basic.net barcode sdk( j)Connect ansi/aim code 39 with .netusing barcode development for .net crystal control to generate, create ansi/aim code 39 image in .net crystal applications.j=n 0 +1 1D printer on .netusing barcode drawer for .net vs 2010 control to generate, create linear barcode image in .net vs 2010 applications.Under the de nitions and predictive ow control algorithm de ned above, if Vmax < and [( p V )/( V )] H1 (1) 1, we have [81] q(n) q0 (n) 2C1 , where C1 is a constant that does not depend on n. For l = n n 0 we de ne the accumulated error as.NET Crystal pdf 417 development in .netgenerate, create pdf417 none in .net projectsX n,l = Draw 2d barcode for .netuse .net vs 2010 2d matrix barcode implementation topaint 2d matrix barcode with .netj=n l+1 Barcode 2 Of 5 barcode library for .netgenerate, create 2/5 standard none for .net projects( j) =QR-Code writer in visual basic.netusing barcode encoding for web crystal control to generate, create qr code image in web crystal applications.j=n 0 +1 Control barcode pdf417 size with microsoft excel pdf417 size in office excel( j)Control ean13+5 image on exceluse office excel european article number 13 encoder toincoporate ean13 with office excelwhere E{X n,l } = 0 (because the predictor is unbiased) and Code 128 Code Set A recognizer on noneUsing Barcode Control SDK for None Control to generate, create, read, scan barcode image in None applications.Var{X n,l} = Var Draw 2d data matrix barcode with vb.netusing barcode generation for asp.net web forms crystal control to generate, create datamatrix image in asp.net web forms crystal applications.j=n l+1 n n Control universal product code version a data for excel spreadsheetsto integrate gs1 - 12 and upc-a data, size, image with microsoft excel barcode sdk( j)Barcode Data Matrix printer with .netuse .net winforms ecc200 maker tocreate barcode data matrix for .netj1=n l+1 j2=n l+1 Control barcode data matrix data on word documentsto assign datamatrix 2d barcode and datamatrix data, size, image with word barcode sdkC ( j1 j2) =j1= l+1 j2= l+1 C ( j1 j2)(21.36)For the results shown below, V (n) is a generated Gaussian process which is multitimescale-correlated with Cv (k) = 479.599 0.999|k| + 161.787 0.99|k| +QUALITY-OF-SERVICE MANAGEMENT 10 4 10 8 Var {Xn,1} 6 4 2 0MMSE A1 A3 40 I (ms)Figure 21.13 Var{X n,l } with different predictors. (Reproduced by permission of IEEE [81].)100 10 1 10 2 P (Q>x) 10 3 10 4 10 5 10 6600 x (b)Figure 21.14 Tail (cumulative queue length) probabilities with different control algorithms. (Reproduced by permission of IEEE [81].) 498.033 0.9|k| and V = 100 kb/s. This type of source has often been used to represent the multiple time-scale correlation in network traf c [71, 80]. The link capacity is 200 kb/s, and the utilization is set to 98%. The time unit is 1 ms and the unit of the queue length is 1 bit [81]. Var{X n,l }is shown in Figure 21.13. We can see that, for A1 and A3 predictors, Var{X n,l } converges to some constant when l is large enough. The asymptotic variance of A3 is also smaller than that of Al. In Figure 21.14, we compare the above control algorithm with the control algorithm that uses Equation (21.34). As we mentioned before, when V1 (n) p for all n, the control algorithms reduce to the same linear equation. However,