Traffic Thermodynamics — EO [session]

Entropy H = path distribution diversity; Temperature T = hub concentration (Gini-like); Free energy F = mean_cost − λ·H_norm; Loop pressure = fraction of paths touching cycles; Viscosity = (1 − path_diversity)·T.

fragmented_cool

Entropy (H_norm)

1.0000

Temperature

0.0573

Free Energy

323.4397

Loop Pressure

0.0000

Viscosity

0.0000

High path diversity (1.000) with low hub concentration (0.057) indicates fragmented but cool routing.

Top Paths by Frequency

Path probability = fraction of traceroutes that used this exact path (count/total paths). When each source has one path, equal counts give equal probability.

#	Path	Probability	Count
1	C3->Fz->Pz->F3->P3->T7->F7->P7->O2->Cz->P4->P8->O2	0.052632	1/19
2	C4->F3->Pz->F7->T7->P3->P7->O2->Cz->P4->Fz->O1->T8	0.052632	1/19
3	Cz->O2->P8->P4->F3->Pz->F7->T7->P3->P7->O1->T8->O1	0.052632	1/19
4	F3->Pz->F7->T7->P3->P7->O2->Cz->P4->Fz->C4->F3	0.052632	1/19
5	F4	0.052632	1/19

Top Hubs by Load

Hub load = fraction of paths that pass through this node (paths through node / total paths). Differs per node; high load = bottleneck.

#	Node	Load	Paths through
1	Cz	0.736842	14/19
2	O2	0.736842	14/19
3	F3	0.684211	13/19
4	F7	0.684211	13/19
5	P3	0.684211	13/19

flexible_cool

Entropy (H_norm)

1.0000

Temperature

0.1729

Free Energy

439.3810

Loop Pressure

0.0000

Viscosity

0.0000

Moderate-to-high entropy (1.000) with low temperature (0.173) and viscosity (0.000) suggest flexible, healthy routing.

Top Paths by Frequency

Path probability = fraction of traceroutes that used this exact path (count/total paths). When each source has one path, equal counts give equal probability.

#	Path	Probability	Count
1	C3->Fz->P3->F8->Pz->Cz->P7->P4->F7->Fp1->T7->O1->F3	0.052632	1/19
2	C4->Cz->P3->F8->Pz->P4->F7->Fp1->T7->O1->F3->P7->P8	0.052632	1/19
3	Cz->P3->F8->Pz->P4->F7->Fp1->T7->O1->F3->P7->P8->T8	0.052632	1/19
4	F3->P7->Pz->Cz->P3->F8->Pz	0.052632	1/19
5	F4->P4->Pz->Cz->P3->F8->Pz	0.052632	1/19

Top Hubs by Load

Hub load = fraction of paths that pass through this node (paths through node / total paths). Differs per node; high load = bottleneck.

#	Node	Load	Paths through
1	Cz	0.947368	18/19
2	F8	0.947368	18/19
3	P3	0.947368	18/19
4	Pz	0.947368	18/19
5	P7	0.578947	11/19

flexible_cool

Entropy (H_norm)

1.0000

Temperature

0.1282

Free Energy

489.0514

Loop Pressure

0.0000

Viscosity

0.0000

Moderate-to-high entropy (1.000) with low temperature (0.128) and viscosity (0.000) suggest flexible, healthy routing.

Top Paths by Frequency

Path probability = fraction of traceroutes that used this exact path (count/total paths). When each source has one path, equal counts give equal probability.

#	Path	Probability	Count
1	C3	0.052632	1/19
2	C4->F8->Pz->P7->O2->P8->P3->P8	0.052632	1/19
3	Cz->O2->P8->Pz->P7->T7->F3->F7->Fp1->O1->Fp2->C4->F8	0.052632	1/19
4	F3->F7->Fp1->O1->Fp2->C4->F8->Pz->P7->O2->P8->P3->P8	0.052632	1/19
5	F4->Fp2->O1->Fp1->F7->F3->F8->Pz->P7->O2->P8->P3->P8	0.052632	1/19

Top Hubs by Load

Hub load = fraction of paths that pass through this node (paths through node / total paths). Differs per node; high load = bottleneck.

#	Node	Load	Paths through
1	O2	0.894737	17/19
2	P7	0.894737	17/19
3	P8	0.894737	17/19
4	Pz	0.894737	17/19
5	Fp1	0.684211	13/19

flexible_cool

Entropy (H_norm)

1.0000

Temperature

0.2392

Free Energy

1083.3787

Loop Pressure

0.0000

Viscosity

0.0000

Moderate-to-high entropy (1.000) with low temperature (0.239) and viscosity (0.000) suggest flexible, healthy routing.

Top Paths by Frequency

Path probability = fraction of traceroutes that used this exact path (count/total paths). When each source has one path, equal counts give equal probability.

#	Path	Probability	Count
1	C3->F8->P7->O1->F4->Fz->C4->T8->O2->Fp1->F3->T7->F3	0.052632	1/19
2	C4->T8->F8->P7->O1->F4->Fz->F3->T7->Fp1->O1	0.052632	1/19
3	Cz->Pz->F8->P7->O1->F4->Fz->C4->T8->O2->Fp1->F3->T7	0.052632	1/19
4	F3->T7->P7->O1->F4->Fz->C4->T8->F8->P3->Fp1->O1	0.052632	1/19
5	F4->Fz->C4->T8->F8->P7->O1->Cz->Pz->Fp2->F3->T7->Fp1	0.052632	1/19

Top Hubs by Load

Hub load = fraction of paths that pass through this node (paths through node / total paths). Differs per node; high load = bottleneck.

#	Node	Load	Paths through
1	C4	0.947368	18/19
2	F4	0.947368	18/19
3	F8	0.947368	18/19
4	Fz	0.947368	18/19
5	O1	0.947368	18/19

flexible_cool

Entropy (H_norm)

1.0000

Temperature

0.1443

Free Energy

735.7328

Loop Pressure

0.0000

Viscosity

0.0000

Moderate-to-high entropy (1.000) with low temperature (0.144) and viscosity (0.000) suggest flexible, healthy routing.

Top Paths by Frequency

Path probability = fraction of traceroutes that used this exact path (count/total paths). When each source has one path, equal counts give equal probability.

#	Path	Probability	Count
1	C3->O1->Cz->O2->P7->T8->F8->C4->Fz->P4->Pz->P3->T7	0.052632	1/19
2	C4->O1->Cz->O2->P7->T8->C3->F7->F3->F7	0.052632	1/19
3	Cz->O1->O2->P7->T8->C3->F7->F3->C4->F8->C4	0.052632	1/19
4	F3->F7->C3->O1->Cz->O2->P7->T8->F8->C4->Fz->P4->Pz	0.052632	1/19
5	F4->C4->O1->Cz->O2->P7->T8->C3->F7->F3->F7	0.052632	1/19

Top Hubs by Load

Hub load = fraction of paths that pass through this node (paths through node / total paths). Differs per node; high load = bottleneck.

#	Node	Load	Paths through
1	C3	0.947368	18/19
2	Cz	0.947368	18/19
3	O1	0.947368	18/19
4	O2	0.947368	18/19
5	T8	0.947368	18/19

Traffic Thermodynamics Report