Intra Protocol Fairness

Experimental Setting

Bottleneck Bandwidth: 400Mbs
Queue size: 2000 Kbytes
Background traffic: YES
Long-Lived flows: forward direction (None!), backward direction (None!)
Short-Lived flows: None! (forward direction, backward direction)
flow1 and flow2 have the same RTT

1. Intra-Protocol Fairness

1.1 Fairness index (Jain's) for intra-protocol fairness

Delay	CUBIC	BIC	HTCP	HSTCP	STCP	FAST	SACK
16ms	0.999791 [1]	0.996029 [1] [2] [3] [4] [5]	0.994046 [1] [2]	0.991443 [1] [2] [3] [4]	0.988762 [1] [2] [3] [4] [5]	0.827550 [1] [2] [3] [4] [5]	0.996786 [1] [2] [3] [4] [5]
42ms	0.999690 [1]	0.997238 [1] [2] [3] [4] [5]	0.999113 [1] [2]	0.998403 [1] [2] [3] [4]	0.988183 [1] [2] [3] [4] [5]	0.747155 [1] [2] [3] [4] [5]	0.995034 [1] [2] [3] [4] [5]
82ms	0.999879 [1]	0.997135 [1] [2] [3] [4] [5]	0.996153 [1] [2]	0.994665 [1] [2] [3] [4] [5]	0.988128 [1] [2] [3] [4] [5]	0.777095 [1] [2] [3] [4] [5]	0.995696 [1] [2] [3] [4] [5]
162ms	0.998481 [1]	0.995500 [1] [2] [3] [4] [5]	0.994045 [1] [2]	0.998622 [1] [2] [3] [4] [5]	0.996017 [1] [2] [3] [4] [5]	0.757920 [1] [2] [3] [4] [5]	0.995771 [1] [2] [3] [4] [5]

1.2 Throughput Ratio for intra-protocol fairness

Delay	CUBIC	BIC	HTCP	HSTCP	STCP	FAST	SACK
16ms	0.971515 [1]	0.881720 [1] [2] [3] [4] [5]	0.856367 [1] [2]	0.836496 [1] [2] [3] [4]	0.809177 [1] [2] [3] [4] [5]	0.440080 [1] [2] [3] [4] [5]	0.899187 [1] [2] [3] [4] [5]
42ms	0.965375 [1]	0.908550 [1] [2] [3] [4] [5]	0.948356 [1] [2]	0.941305 [1] [2] [3] [4]	0.810652 [1] [2] [3] [4] [5]	0.341514 [1] [2] [3] [4] [5]	0.873855 [1] [2] [3] [4] [5]
82ms	0.978258 [1]	0.909599 [1] [2] [3] [4] [5]	0.910103 [1] [2]	0.887617 [1] [2] [3] [4] [5]	0.815426 [1] [2] [3] [4] [5]	0.449871 [1] [2] [3] [4] [5]	0.891766 [1] [2] [3] [4] [5]
162ms	0.924921 [1]	0.876313 [1] [2] [3] [4] [5]	0.892587 [1] [2]	0.951247 [1] [2] [3] [4] [5]	0.898936 [1] [2] [3] [4] [5]	0.424006 [1] [2] [3] [4] [5]	0.907105 [1] [2] [3] [4] [5]

2. Link Utilization

Link utilization table

Delay	CUBIC	BIC	HTCP	HSTCP	STCP	FAST	SACK
16ms	0.954319 [1]	0.955409 [1] [2] [3] [4] [5]	0.954528 [1] [2]	0.955002 [1] [2] [3] [4]	0.956122 [1] [2] [3] [4] [5]	0.955000 [1] [2] [3] [4] [5]	0.954544 [1] [2] [3] [4] [5]
42ms	0.954207 [1]	0.955036 [1] [2] [3] [4] [5]	0.945469 [1] [2]	0.954447 [1] [2] [3] [4]	0.953235 [1] [2] [3] [4] [5]	0.953536 [1] [2] [3] [4] [5]	0.951044 [1] [2] [3] [4] [5]
82ms	0.952079 [1]	0.954792 [1] [2] [3] [4] [5]	0.940850 [1] [2]	0.952733 [1] [2] [3] [4] [5]	0.945429 [1] [2] [3] [4] [5]	0.946549 [1] [2] [3] [4] [5]	0.941469 [1] [2] [3] [4] [5]
162ms	0.946508 [1]	0.953849 [1] [2] [3] [4] [5]	0.942847 [1] [2]	0.944731 [1] [2] [3] [4] [5]	0.931759 [1] [2] [3] [4] [5]	0.923689 [1] [2] [3] [4] [5]	0.919928 [1] [2] [3] [4] [5]

3. Queue Dropping Ratio

Queue drop ratio on the bottleneck router

Delay	CUBIC	BIC	HTCP	HSTCP	STCP	FAST	SACK
16ms	0.000171 [1]	0.001008 [1] [2] [3] [4] [5]	0.000256 [1] [2]	0.000558 [1] [2] [3] [4]	0.001760 [1] [2] [3] [4] [5]	0.000629 [1] [2] [3] [4] [5]	0.000245 [1] [2] [3] [4] [5]
42ms	0.000342 [1]	0.000619 [1] [2] [3] [4] [5]	0.000335 [1] [2]	0.000421 [1] [2] [3] [4]	0.001216 [1] [2] [3] [4] [5]	0.000497 [1] [2] [3] [4] [5]	0.000259 [1] [2] [3] [4] [5]
82ms	0.000140 [1]	0.000455 [1] [2] [3] [4] [5]	0.000326 [1] [2]	0.000339 [1] [2] [3] [4] [5]	0.000941 [1] [2] [3] [4] [5]	0.000394 [1] [2] [3] [4] [5]	0.000271 [1] [2] [3] [4] [5]
162ms	0.000163 [1]	0.000293 [1] [2] [3] [4] [5]	0.000271 [1] [2]	0.000261 [1] [2] [3] [4] [5]	0.000833 [1] [2] [3] [4] [5]	0.000453 [1] [2] [3] [4] [5]	0.000242 [1] [2] [3] [4] [5]

4. Convergence Time

4.1 Convergence Time for two flows

Delay	CUBIC	BIC	HTCP	HSTCP	STCP	FAST	SACK
16ms	25.000000 [1]	17.000000 [1] [2] [3] [4] [5]	80.000000 [1] [2]	17.500000 [1] [2] [3] [4]	29.000000 [1] [2] [3] [4] [5]	504.200000 [1] [2] [3] [4] [5]	35.000000 [1] [2] [3] [4] [5]
42ms	45.000000 [1]	23.000000 [1] [2] [3] [4] [5]	25.000000 [1] [2]	37.500000 [1] [2] [3] [4]	39.000000 [1] [2] [3] [4] [5]	664.800000 [1] [2] [3] [4] [5]	33.000000 [1] [2] [3] [4] [5]
82ms	45.000000 [1]	25.000000 [1] [2] [3] [4] [5]	20.000000 [1] [2]	49.000000 [1] [2] [3] [4] [5]	49.000000 [1] [2] [3] [4] [5]	446.200000 [1] [2] [3] [4] [5]	51.000000 [1] [2] [3] [4] [5]
162ms	35.000000 [1]	45.000000 [1] [2] [3] [4] [5]	60.000000 [1] [2]	93.000000 [1] [2] [3] [4] [5]	61.000000 [1] [2] [3] [4] [5]	279.600000 [1] [2] [3] [4] [5]	207.000000 [1] [2] [3] [4] [5]

4.2 Fairness index over various time scales

RTT 82 msec with various time scales

Fairness index table

You can click the link of each delay ( 16ms 42ms 82ms 162ms ) as well as each measurement interval

Protocol		16ms	42ms	82ms	162ms
CUBIC	1sec	0.989150	0.981276	0.984622	0.983750
	5sec	0.989678	0.981901	0.985078	0.984171
	10sec	0.990354	0.982527	0.985721	0.984671
	20sec	0.991375	0.983804	0.986806	0.986557
	40sec	0.993147	0.986900	0.988940	0.987734
	80sec	0.996087	0.992509	0.992224	0.990484
	160sec	0.997664	0.995562	0.994586	0.993758
BIC	1sec	0.500000	0.500000	0.500000	0.500000	0.500000
	5sec	0.987116	0.986551	0.983700	0.978003	0.965260
	10sec	0.988980	0.987780	0.984713	0.978702	0.965787
	20sec	0.990966	0.989885	0.986675	0.979969	0.967179
	40sec	0.993152	0.992199	0.989748	0.982260	0.970304
	80sec	0.994453	0.994145	0.992729	0.985035	0.974388
	160sec	0.995207	0.996158	0.994614	0.988803	0.984137
HTCP	1sec	0.500000	0.500000	0.500000	0.500000	0.500000
	5sec	0.959546	0.965947	0.975675	0.966055	0.958400
	10sec	0.964048	0.971666	0.979166	0.968905	0.961170
	20sec	0.971119	0.979723	0.983742	0.974333	0.966125
	40sec	0.982078	0.989098	0.989202	0.981023	0.977059
	80sec	0.986148	0.995885	0.993475	0.985983	0.983301
	160sec	0.988614	0.997453	0.994660	0.990677	0.988568
HSTCP	1sec	0.500000	0.500000	0.500000	0.500000	0.500000
	5sec	0.982304	0.987366	0.980602	0.975410	0.971144
	10sec	0.984620	0.989197	0.981912	0.976275	0.971827
	20sec	0.987317	0.991308	0.984227	0.978078	0.973094
	40sec	0.988905	0.993704	0.986650	0.980133	0.974914
	80sec	0.989922	0.995288	0.988901	0.984728	0.978071
	160sec	0.990760	0.996633	0.991158	0.988849	0.982095
STCP	1sec	0.500000	0.500000	0.500000	0.500000	0.500000
	5sec	0.976509	0.971884	0.972034	0.960088	0.951657
	10sec	0.977954	0.973200	0.973098	0.961079	0.957395
	20sec	0.980226	0.975327	0.974777	0.962537	0.962819
	40sec	0.982796	0.978538	0.976960	0.965163	0.968307
	80sec	0.985430	0.981788	0.980379	0.971567	0.975394
	160sec	0.987862	0.984453	0.983663	0.981735	0.980991
FAST	1sec	0.500000	0.500000	0.500000	0.500000	0.500000
	5sec	0.794213	0.729165	0.770649	0.759029	0.875573
	10sec	0.794182	0.729365	0.770675	0.758532	0.872417
	20sec	0.794637	0.729457	0.770721	0.758250	0.870102
	40sec	0.796472	0.731219	0.771591	0.756974	0.871823
	80sec	0.796689	0.732422	0.772594	0.756309	0.866270
	160sec	0.802653	0.741295	0.778394	0.758274	0.859738
SACK	1sec	0.500000	0.500000	0.500000	0.500000	0.500000
	5sec	0.970098	0.962926	0.962140	0.955218	0.944004
	10sec	0.973547	0.965206	0.963263	0.956030	0.944505
	20sec	0.978717	0.969600	0.965461	0.957493	0.945457
	40sec	0.983765	0.975339	0.969132	0.959594	0.946817
	80sec	0.988435	0.982158	0.975141	0.963821	0.949685
	160sec	0.990673	0.986393	0.983640	0.973194	0.951594

5. Coefficient of Variance (CoV) of Total throughput

CoV Graph for 10 sec measurement interval

CoV table

You can click the link of each delay ( 16ms 42ms 82ms 162ms ) as well as each measurement interval

Protocol		16ms	42ms	82ms	162ms
CUBIC	1sec	0.138632	0.158525	0.152927	0.178301
	5sec	0.122649	0.139879	0.145526	0.149435
	10sec	0.115685	0.133163	0.141860	0.144951
	20sec	0.102545	0.123898	0.135048	0.135833
	40sec	0.082983	0.105303	0.121162	0.119448
	80sec	0.064440	0.086661	0.107807	0.099379
	160sec	0.040106	0.065666	0.095226	0.081364
BIC	1sec	0.004295	0.006102	0.007830	0.011236	0.022022
	5sec	0.001428	0.001854	0.002313	0.004995	0.016463
	10sec	0.000937	0.001164	0.001362	0.003492	0.012663
	20sec	0.000645	0.000755	0.000837	0.002479	0.008735
	40sec	0.000456	0.000482	0.000580	0.001759	0.006062
	80sec	0.000295	0.000327	0.000367	0.001168	0.004517
	160sec	0.000201	0.000207	0.000234	0.000802	0.002955
HTCP	1sec	0.006201	0.033937	0.041315	0.032918	0.037519
	5sec	0.002231	0.025141	0.032786	0.025452	0.030493
	10sec	0.001125	0.016850	0.025263	0.018000	0.023844
	20sec	0.000675	0.013284	0.021484	0.014051	0.017797
	40sec	0.000425	0.008778	0.014752	0.011056	0.012917
	80sec	0.000285	0.006034	0.011072	0.008056	0.010332
	160sec	0.000180	0.003872	0.006408	0.005470	0.006185
HSTCP	1sec	0.006964	0.010169	0.014406	0.035792	0.035903
	5sec	0.001390	0.003219	0.006152	0.029690	0.031139
	10sec	0.000772	0.002013	0.003921	0.023580	0.026621
	20sec	0.000392	0.001240	0.002638	0.017346	0.020779
	40sec	0.000214	0.000754	0.001876	0.013454	0.015418
	80sec	0.000120	0.000478	0.001372	0.009668	0.012609
	160sec	0.000061	0.000297	0.001033	0.006499	0.007017
STCP	1sec	0.007003	0.013305	0.023896	0.048262	0.106068
	5sec	0.001445	0.004457	0.008801	0.021757	0.080996
	10sec	0.000778	0.002946	0.006137	0.015995	0.066824
	20sec	0.000394	0.002215	0.004248	0.011845	0.052616
	40sec	0.000215	0.001573	0.002961	0.008074	0.043894
	80sec	0.000139	0.001274	0.002165	0.006551	0.031211
	160sec	0.000102	0.000906	0.001441	0.004386	0.023738
FAST	1sec	0.004938	0.009937	0.026616	0.074079	0.110751
	5sec	0.001279	0.004605	0.016922	0.050958	0.101309
	10sec	0.000784	0.003184	0.013346	0.038033	0.092131
	20sec	0.000417	0.002217	0.009471	0.029966	0.078789
	40sec	0.000200	0.001575	0.006557	0.022321	0.062960
	80sec	0.000114	0.001112	0.004726	0.017265	0.047230
	160sec	0.000074	0.000749	0.003830	0.014367	0.026094
SACK	1sec	0.005816	0.019218	0.034814	0.052184	0.032471
	5sec	0.002319	0.015571	0.031850	0.048695	0.029148
	10sec	0.001332	0.012572	0.028130	0.046222	0.025887
	20sec	0.000752	0.008906	0.023930	0.041634	0.021763
	40sec	0.000493	0.006959	0.016942	0.033952	0.015393
	80sec	0.000324	0.004485	0.012278	0.026430	0.010914
	160sec	0.000179	0.003046	0.007315	0.017019	0.006397