IFN Traffic Assignment: Matrix Version

qrTransportMatrix

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Brief Description

The actual computation of IFN-Transport is in matrices as shown in this page. By showing the internal engine inside the IFN-Transport, you will see how it works behind the scene.

Lab Tool: IFN Transport in Matrix


Values in capacity matrix represents
Input: capacity multiplier vehicle/hour/lane
Input: Capacity matrix, C


Input: Link distance matrix, L (km)


Input: Max Speed matrix, U (km/hour)


Input: constraint
Input: total flow, kappa Input: max flow, psi Input: maximum congestion level, xi
Travel Time Model:

Output:

Capacity matrix (pcu/hour)
0.00, 3000.00, 0.00, 0.00, 6000.00, 0.00, 0.00; 0.00, 0.00, 3000.00, 0.00, 0.00, 7500.00, 0.00; 0.00, 0.00, 0.00, 4500.00, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 7500.00; 0.00, 0.00, 4500.00, 0.00, 0.00, 1500.00, 0.00; 0.00, 0.00, 0.00, 6000.00, 0.00, 0.00, 0.00; 7500.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Link Distance matrix (km)
0.00, 1.00, 0.00, 0.00, 1.00, 0.00, 0.00; 0.00, 0.00, 1.00, 0.00, 0.00, 1.00, 0.00; 0.00, 0.00, 0.00, 1.00, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.00; 0.00, 0.00, 1.00, 0.00, 0.00, 1.00, 0.00; 0.00, 0.00, 0.00, 1.00, 0.00, 0.00, 0.00; 1.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Max Speed matrix (km/hour)
0.00, 40.00, 0.00, 0.00, 40.00, 0.00, 0.00; 0.00, 0.00, 40.00, 0.00, 0.00, 40.00, 0.00; 0.00, 0.00, 0.00, 40.00, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 40.00; 0.00, 0.00, 40.00, 0.00, 0.00, 40.00, 0.00; 0.00, 0.00, 0.00, 40.00, 0.00, 0.00, 0.00; 40.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Stochastic matrix
0.00, 0.33, 0.00, 0.00, 0.67, 0.00, 0.00; 0.00, 0.00, 0.29, 0.00, 0.00, 0.71, 0.00; 0.00, 0.00, 0.00, 1.00, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.00; 0.00, 0.00, 0.75, 0.00, 0.00, 0.25, 0.00; 0.00, 0.00, 0.00, 1.00, 0.00, 0.00, 0.00; 1.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Probability matrix
0.00, 0.07, 0.00, 0.00, 0.13, 0.00, 0.00; 0.00, 0.00, 0.02, 0.00, 0.00, 0.05, 0.00; 0.00, 0.00, 0.00, 0.12, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.20; 0.00, 0.00, 0.10, 0.00, 0.00, 0.03, 0.00; 0.00, 0.00, 0.00, 0.08, 0.00, 0.00, 0.00; 0.20, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Markov Equilibrium Vector (pcu/hour)
2800.00; 933.33; 1666.67; 2800.00; 1866.67; 1133.33; 2800.00;
Ideal Flow matrix (pcu/hour)
0.00, 2250.00, 0.00, 0.00, 4500.00, 0.00, 0.00; 0.00, 0.00, 642.86, 0.00, 0.00, 1607.14, 0.00; 0.00, 0.00, 0.00, 4017.86, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 6750.00; 0.00, 0.00, 3375.00, 0.00, 0.00, 1125.00, 0.00; 0.00, 0.00, 0.00, 2732.14, 0.00, 0.00, 0.00; 6750.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Congestion matrix
0.00, 0.75, 0.00, 0.00, 0.75, 0.00, 0.00; 0.00, 0.00, 0.21, 0.00, 0.00, 0.21, 0.00; 0.00, 0.00, 0.00, 0.89, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.90; 0.00, 0.00, 0.75, 0.00, 0.00, 0.75, 0.00; 0.00, 0.00, 0.00, 0.46, 0.00, 0.00, 0.00; 0.90, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Min Travel Time matrix (minutes/link)
0.00, 1.50, 0.00, 0.00, 1.50, 0.00, 0.00; 0.00, 0.00, 1.50, 0.00, 0.00, 1.50, 0.00; 0.00, 0.00, 0.00, 1.50, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 1.50; 0.00, 0.00, 1.50, 0.00, 0.00, 1.50, 0.00; 0.00, 0.00, 0.00, 1.50, 0.00, 0.00, 0.00; 1.50, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Travel Time matrix (minutes/link)
0.00, 8.62, 0.00, 0.00, 8.62, 0.00, 0.00; 0.00, 0.00, 1.55, 0.00, 0.00, 1.55, 0.00; 0.00, 0.00, 0.00, 15.80, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 16.26; 0.00, 0.00, 8.62, 0.00, 0.00, 8.62, 0.00; 0.00, 0.00, 0.00, 2.47, 0.00, 0.00, 0.00; 16.26, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Speed matrix (km/hour)
0.00, 6.96, 0.00, 0.00, 6.96, 0.00, 0.00; 0.00, 0.00, 38.77, 0.00, 0.00, 38.77, 0.00; 0.00, 0.00, 0.00, 3.80, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 3.69; 0.00, 0.00, 6.96, 0.00, 0.00, 6.96, 0.00; 0.00, 0.00, 0.00, 24.32, 0.00, 0.00, 0.00; 3.69, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Delay matrix (minutes/link)
0.00, 7.12, 0.00, 0.00, 7.12, 0.00, 0.00; 0.00, 0.00, 0.05, 0.00, 0.00, 0.05, 0.00; 0.00, 0.00, 0.00, 14.30, 0.00, 0.00, 0.00; 0.00, 0.00, 0.00, 0.00, 0.00, 0.00, 14.76; 0.00, 0.00, 7.12, 0.00, 0.00, 7.12, 0.00; 0.00, 0.00, 0.00, 0.97, 0.00, 0.00, 0.00; 14.76, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00;
Performances:
Network:
Number of Links =10
Number of Nodes =7
Entropy:
Network Entropy = 2.1139
Network Entropy Ratio = 0.9180
Network Max Entropy = 2.3026
Flow (pcu/hour):
Total Flow = 33750.0000
Average Flow = 3375.0000
Min Flow = 642.8571
Max Flow = 6750.0000
Standard Deviation Flow = 2044.2958
Coef. Variation Flow = 0.6057
Congestion:
Min Congestion = 0.2143
Max Congestion = 0.9000
Average Congestion = 0.6577
Standard Deviation Congestion = 0.2532
Coef. Variation Congestion = 0.3850
Travel Time (minutes/link):
Min Travel Time = 1.5474
Max Travel Time = 16.2622
Average Travel Time = 8.8362
Standard Deviation Travel Time = 5.5297
Coef. Variation Travel Time = 0.6258
Travel Speed (km/hour):
Min Speed = 3.6895
Max Speed = 38.7737
Average Speed = 14.0887
Standard Deviation Speed = 13.5968
Coef. Variation Speed = 0.9651
Travel Delay (minutes/link):
Min Delay = 0.0474
Max Delay = 14.7622
Average Delay = 7.3362
Standard Deviation Delay = 5.5297
Coef. Variation Delay = 0.7538

IFN Lab: Capacity to Ideal Flow Matrix

Index