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ICDCS 2010 TSF: Trajectory-based Statistical Forwarding for Infrastructure-to-Vehicle Data Delivery in Vehicular Networks Jaehoon Jeong, Shuo Guo, Yu Gu, Tian He, and David Du Department of Computer Science and Engineering June 23, 2010 Intelligent Transportation Systems (ITS) ITS provides the transport safety and efficiency through the computing and communications among transport systems. 2 Vehicle Trajectory GPS-based Navigation Vehicle Trajectory 3 Vehicle follows the route provided by GPS-based navigation systems for efficient driving. Vehicle moves along its trajectory with bounded speed. Road Network Layout Road Map Road Network Graph Road network layout can be represented as road map. This road map can be reduced to the road network graph. 4 Vehicular Traffic Statistics Road Map Road Segment Vehicle Density Road Segment Vehicular traffic statistics can be measured per road segment. Vehicle density can be measured by vehicle inter-arrival time. 5 Motivation We design Data Forwarding for Vehicular Networks based on these four characteristics of road networks: Vehicle Trajectory Road Network Layout Vehicular Traffic Statistics Data Forwarding for Vehicular Networks In this paper, we investigate the Data Forwarding for Infrastructure-to-Vehicle Data Delivery. 6 Problem Definition Good Rendezvous Point ! 7 Challenge in Reverse Data Forwarding The destination vehicle moves along its trajectory. Target Missing! Inaccurate Delay Estimation 8 Data Delivery by VADD from AP to Target Point Expected Delay Actual Delay Error 489 sec 413 sec 16% Expected STD Actual STD Error 10 sec 139 sec 1277% Difficult to deliver packets with these errors! 9 Packet Forwarding based on Stationary Nodes Assume each intersection has a stationary node for packet buffering. 1. Source Routing to Target Stationary Node 2. Source Routing to Destination Vehicle 10 Target Point Selection Target point with a minimum delay and a high delivery probability. Hit! Hit! Target Point Hit! Minimum Delay 11 Miss! Miss! Miss! Design Challenges How to model Packet Delay and Vehicle Delay? Modeling of Packet Delay Distribution and Vehicle Delay Distribution as Gamma Distributions How to select an Optimal Target Point? Optimal Target Point Selection Algorithm using the Distributions of Packet and Vehicle Delays 12 Link Delay Model Case 1: Immediate Forward Case 2: Wait and Forward 13 Link Delay Model Case 1: Immediate Forward Case 2: Wait and Forward Let d be the link delay for a road segment. 1. Expectation of link delay Case 1 E[d ] E[link delay | forward ] P[forward ] E[link delay | wait ] P[ wait ]. 2. Variance of link delay Case 2 Var[d ] E[d ] E[d ] . 2 14 2 Link Delay Distribution Link Delay is modeled as Gamma Distribution: di ~ ( i ,i ) Where 2 i Var[d i ] i E[d i ] i i 15 E[di ] i i i 2 i 2 i End-to-End Packet Delay Model Let di be link delay over road segment li . N N i 1 N i 1 N E[ P] E[d i ] i Var[ P] Var[di ] i 1 16 i 1 2 i Vehicle Delay Model Let ti be travel time over road segment li . N N i 1 N i 1 N E[V ] E[ti ] i Var[V ] Var[ti ] i 1 17 i 1 2 i Optimal Target Point Selection Delay Distributions for intersection i 0.01 Packet Delay (P) Vehicle Delay (V) 0.008 PDF 0.006 0.004 0.002 0 50 Optimization 100 150 200 250 Delay [sec] 300 350 400 i* arg min E[Vi ] subject to P[ Pi Vi ] iT TTL v 18 where P[ Pi Vi ] 0 0 f ( p) g (v)dpdv. Performance Evaluation Simulation Setting Road Network: 5.1miles x 5.6 miles (49 intersections) Communication Range: 200 meters (656 feet) Performance Metrics Average delivery delay Packet Delivery ratio Baselines compared with TSF Random Trajectory Point (RTP) Last Trajectory Point (LTP) 19 CDF Comparison for Delivery Delay 20 Impact of Vehicle Density For TSF, as the more vehicles exist, 1. The shorter delivery delay is obtained and. 2. The higher delivery ratio is obtained. 21 Impact of Delivery Probability Threshold For TSF, as the threshold α increases, 1. The delivery delay increases and. 2. The delivery ratio increases. 22 Conclusion This paper designs a trajectory-based statistical data forwarding tailored for vehicular networks, Considering road network characteristics: • Vehicle Trajectory • Road Network Layout • Vehicular Traffic Statistics As future work, we will continue to investigate vehicle trajectory for vehicular networking: Data Forwarding, Data Dissemination, and Vehicle Detouring Protocol. 23