Average Bandwidth Allocation Model of WFQ

Table 2

Simulation results compared with mathematical model results.

Simulation variant (#)	(1)	(2)	(3)	(4)	(5)	(6)	(7)	(8)	(9)
Mean packet size (B)	100, 1000, 1000,1500	100, 1000, 1000, 1500	375, 375, 375, 375	375, 375, 375, 375	375, 375, 375, 375	1000, 100, 10, 1	1000, 1000, 1000, 1000	1000, 100, 1000, 100	1000, 1000, 1000, 1000
Mean arrival rate (pps)	100, 10, 10, 1	100, 10, 10, 1	1000, 1041.67, 1000, 416.67	1000, 1000, 750, 500	1000, 1000, 750, 750	100, 100, 100, 100	1, 10, 100, 1000	1000, 100, 1000, 100	100, 100, 100, 100
Input bandwidth (Mbps)	0.08, 0.08, 0.08, 0.012	0.08, 0.08, 0.08, 0.012	3, 3.125, 3, 1.25	3, 3, 2.25, 1.5	3, 3, 2.25, 2.25	0.8, 0.08, 0.008, 0.0008	0.008, 0.08, 0.8, 8	8, 0.08, 8, 0.08	0.8, 0.8, 0.8, 0.8
Weight settings	4, 3, 2, 1	4, 3, 2, 1	4, 3, 2, 1	4, 3, 2, 1	4, 3, 2, 1	1, 1, 1, 1	4, 3, 2, 1	4, 3, 2, 1	40, 3, 2, 1
Link capacity (Mbps)	100	0.05	10	10	10	0.5	4	8	1.6
D/D/1 simulation results (Mbps)	0.079, 0.079, 0.079, 0.012	0.019, 0.015, 0.01, 0.005	3.00, 3.15, 2.59, 1.248	2.99, 2.99, 2.249, 1.50	2.99, 3.00, 2.25, 1.749	0.41, 0.08, 0.0079, 0.0008	0.0078, 0.08, 0.8, 3.111	5.226, 0.079, 2.6133, 0.079	0.79, 0.4, 0.267, 0.133
M/M/1 simulation results (Mbps)	0.0804±0.47%	0.0200±0.06%	3.0041±0.13%	3.0061±0.43%	3.0054±0.34%	0.4095±0.21%	0.0080±2.73%	5.2261±0.01%	0.8015±0.56%
	0.0801±1.34%	0.0150±0.10%	3.1296±0.14%	3.0022±0.23%	3.0030±0.13%	0.0808±1.07%	0.0799±0.97%	0.0804±0.42%	0.3993±0.57%
	0.0802±1.26%	0.010±0.12%	2.6134±0.30%	2.2501±0.32%	2.2564±0.21%	0.0085±1.01%	0.7991±0.67%	2.6131±0.07%	0.2662±0.57%
	0.0122±1.69%	0.0050±0.36%	1.2529±0.27%	1.5007±0.33%	1.7352±0.66%	0.0013±0.77%	3.1129±0.17%	0.0805±0.57%	0.1331±0.56%
Model results (Mbps)	0.08, 0.08, 0.08, 0.012	0.02, 0.015, 0.01, 0.005	3, 3.125, 2.625, 1.25	3, 3, 2.25, 1.5	3, 3, 2.25, 1.75	0.411, 0.08, 0.008, 0.0008	0.008, 0.08, 0.8, 3.112	5.2266, 0.08, 2.6133, 0.08	0.8, 0.4, 0.266, 0.133