4. Goals of Our Study Model the distribution of incidents . Investigate advanced incident detection techniques Choose the appropriate incident-response strategies Perform Benefit/Cost (B/C) analysis
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6. Incident Data of Arkansas Arkansas State Police Report (2000 ~ 2003) larger municipalities Frequency counties road system crash severity alcohol involvement weather roadway profile roadway alignment light conditions weekdays type of collisions rural or urban
10. Reported & potential Incidents Potential workload at f =40 Risk = 20% Workload = 3 ×20 min Potential workload at v=20 Delay at f = 80 min 10 40 30 50 f (1) v (2) 2 1
11. Comparison between Rotation and SIMAN 9.51 11.18 Standard Deviation of Work Time (min) 27.90 34.54 Mean of Work Time (min) 208,343,664.00 259,787,280.00 Total Delay Cost (veh-min) 66,757 66,757 Total Number of Vehicle Dispatches SIMAN Rotation
13. Operational Model – Dynamic Routing 15 10 10 15 C B A 0 5 10 15 35 25 25 Intermediat e Starting Arrival 20 35
14. Arkansas Crash Data for 2003 52,474 641 42,222 28,125 557 Injuries Fatalities PDO Injury Fatal
15. Functional Structure of the Prototype Incident Command Center Users Motorists Operators Managerscxv Environment Travel Time Incidents System Data Input & Analysis Core Algorithms Output Platforms
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21. Schedule of Incident Service Dispatch time Incident Occurrence Incident Notified Response Unit Assignment Response Unit Arrives at Scene Detection time Response vehicle travel time Incident clear time Work time Response time Incident Restoration
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23. Dominant Tours 0.563 6.57 44.74 42.83 0-12-14-10-9-8-11-13-7-15-0 0-10-11-15-0 4 0.568 5.74 44.10 43.56 0-12-14-10-14-12-11-12-0-15-0 0-10-11-15-0 3 0.564 6.02 41.25 39.72 0-12-11-8-9-10-14-12-0-15-0 0-10-11-15-0 2 0.681 6.92 41.76 39.02 0-12-11-8-9-10-9-8-11-12-0-15-0 0-11-10-15-0 1 Risk Index Time Variance Expected Time Dist. Original Tour Tour Wt. Set
26. Objective function Delay Cost For each incident in the network Delay Cost = Cost × Delay Cost = Traffic Volume (Vehicle) Delay = Work Time (Minute) fixed costs for dispatching response vehicles = Number of response vehicles × Unit cost to dispatch a vehicle
27. Incident parameters W f =3 ×20 C f =80 C v =100 J f =70 J v =40 H=20 K=5 10 40 30 50 f (1) v (2) 2 1 5×20 4×20 3×20 2×20 1×20 --------- D f D v 0.004 0.055 0.101 0.246 0.594 0.0046 v (2) 0.000 0.019 0.070 0.192 0.718 0.0142 f (1) Z 5 Z 4 Z 3 Z 2 Z 1 λ
28. Incident workload Node v (2) Node f (1) W f =3 ×20 C f =80 C v =100 J f =70 J v =40 H=20 K=5 10 40 30 50 f (1) v (2) 2 1 ∞ ∞ ∞ 86.81 15.69 0.2 t 4 t 3 t 2 t 1 t 0 R ∞ ∞ ∞ 146.4 48.22 0.2 t 4 t 3 t 2 t 1 t 0 R