1. 1/30 Energy-Efficient Forwarding Strategies for Geographic Routing in Lossy Wireless Sensor Networks Wireless and Sensor Network Seminar Dec 01, 2004

2. 2/30 From SenSys’04 November 03 ~ 05, 2004, Baltimore, Maryland, USA. University of Southern California Authors: Karim Seada, Marco Zuniga, Ahmed Helmy, Bhaskar Krishnamachari

3. 3/30 Outline Background of Geographic (Position-based) Routing Problem in Lossy Wireless Sensor Networks Proposed Optimal Forwarding Strategies Analysis and Performance Comparison

4. 4/30 Geographic Routing A commonly used paradigm in wireless ad-hoc sensor networks when location information is available Advantage: Conserve energy and bandwidth since discover floods only within a single hop Main component: A greedy forwarding mechanism – each node forwards a packet to the neighbor that is closest to the destination.

5. 5/30 Greedy Forwarding Strategies (Basic geographic routing algorithm) Forward the packet to the neighbor that makes the most progress towards (is closest to) the destination

6. 6/30 Problem Assumptions for greedy routing: (i) sufficient network density (ii) accurate localization (iii) high link reliability independent of distance within the physical radio range

7. 7/30 Problem (Cont.) Wireless links in real sensor networks can be extremely unreliable, deviating to a large extent from the idealized perfect-reception within-range models used in simulation This weak-link problem and the related distance hop trade-off, whereby energy efficient geographic forwarding must strike a balance between shorter, high-quality links, and longer lossy links.

8. 8/30 Sample of a Realistic Analytical Link Loss Model

9. 9/30 Contributions Detailed study of geographic routing in the context of lossy wireless sensor networks: A mathematical analysis of the optimal forwarding distance for both ARQ and No-ARQ scenarios is presented, Detailed simulation and analysis in several novel blacklisting and neighbor selection / geographic forwarding strategies.

10. 10/30 Key Result The product of the packet reception rate (PRR) and the distance traversed towards destination is the optimal forwarding metric for the ARQ case, and is a good metric even without ARQ.

11. 11/30 Analytical Link Model

12. 12/30 A Realistic Channel Model for Lossy Wireless Sensor Networks where d is the transmitter-receiver distance, γ is the signal to noise ratio (SNR), ρ is the encoding ratio and f is the frame length. Packet Reception Rate (PRR)

13. 13/30 Metrics In order to evaluate the energy efficiency of different strategies, the following metrics are used: Delivery Rate (r): percentage of packets sent by the source which reached the sink. Total Number of Transmissions (t): total number of packets sent by the network, to attain the delivery rate described above. Energy Efficiency (E eff ): number of packets delivered to the sink for each unit of energy spent by the network.

14. 14/30 Assumptions in This Analysis The analysis is based on the following assumptions: Nodes know the location and the link’s PRR of their neighbors. Nodes are randomly distributed (i.e. the number of neighbors of certain node is constant).

15. 15/30 Total amount of energy consumed by the network for each transmitted packet is: Energy Efficiency Model e tx and e rx : amount of energy required by a node to transmit and receive a packet e re : the energy used to read only the header of the packet (for early rejection). n: number of neighbors (considered as a constant)

16. 16/30 Energy Efficiency Model (Cont.) p src is the number of packets sent by the source k is a constant which includes e total and a conversion factor for energy units.

17. 17/30 Analysis for ARQ Case Assume no a-priori constraint on the maximum number of retransmissions: Infinite retransmissions can be performed, therefore, r is equal to 1

18. 18/30 Analysis for ARQ Case (Cont.) Thus, in order to maximize E effARQ, we need to maximize the PRR×Distance product. Hence, we define the metric X d as PRR(d)×d.

19. 19/30 PMF of Optimal Forwarding Distance in ARQ

20. 20/30 Different Forwarding Strategies PRR×DIST: the packet is forwarded through neighbors that have the highest PRR×distance metric. BR: the packet is forwarded through the neighbor that has the highest PRR. If several nodes have the same PRR, the node closest to the sink is chosen. CONN: the packet is forwarded through the node in the connected region that is closest to the sink. GR (1%): greedy forwarding through nodes that have PRR above 1%.

21. 21/30 Relative Energy Efficiency for Different Forwarding Strategies

22. 22/30 Analysis for No-ARQ Case Because in systems without ARQ, the distance between the source and the sink influences the election of the optimal forwarding distance. h is hop count

23. 23/30 PMF of Optimal Forwarding Distance in No-ARQ

24. 24/30 Relative Energy Efficiency for Different Forwarding Strategies No-ARQ

25. 25/30 Useful Insights First, the optimal forwarding decision based on the PRR×distance metric in the ARQ case and in the No-ARQ case, strikes a balance between the two extremes of forwarding to the farthest (likely worst reception) neighbor and the nearest (likely best reception) neighbor. Second, the best candidate neighbor for forwarding often lies in the transitional region.

26. 26/30 Simulation and Comparison First, show the results for the blacklisting strategies: distance- based, absolute reception based, and relative reception-based at an entire range of blacklisting thresholds and different densities. The goal is to identify the optimum thresholds and their characteristics. Then, compare the different strategies by picking the optimum blacklisting threshold for each density and include also the original greedy, best reception policy, and the best PRR×distance policy in the comparison.

27. 27/30 Performance of Greedy Forwarding With and Without ARQ at Different Network Sizes

28. 28/30 Performance of PRR×Distance With and Without ARQ at Different Network Sizes

29. 29/30 Real Experiments with Motes

30. 30/30 Conclusion A mathematical analysis of the optimal forwarding distance for both ARQ and No-ARQ scenarios is presented The common greedy forwarding approach would result in very poor packet delivery rate. An important forwarding metric that arose from our analysis, simulations and experiments, is PRR×Distance, particularly when ARQ is employed.