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Practical 3D Geographic Routing for Wireless Sensor Networks Jiangwei Zhou*, Yu Chen + , Ben Leong , Pratibha Sundar Sundaramoorthy * Xian Jiaotong University + Duke University National University of Singapore Geographic Routing


  1. Practical 3D Geographic Routing for Wireless Sensor Networks Jiangwei Zhou*, Yu Chen + , Ben Leong ∇ , Pratibha Sundar Sundaramoorthy ∇ * Xi’an Jiaotong University + Duke University ∇ National University of Singapore

  2. Geographic Routing Algorithms Exploit geometric information (coordinates) of network topology to improve scalability of point-to-point routing

  3. Geographic Routing Algorithms Greedy forwarding + Recovery mode when local minimum is encountered

  4. 1.Efficient 2.Storage proportional to density, not size

  5. Motivation Previously proposed geographic routing algorithms assume “planar” network topology ⇒ Many modern sensor networks are three-dimensional

  6. Two Questions 1. How do we get geographic routing to work for 3D networks?

  7. Two Questions 2. How do existing point- to-point algorithms compare? (should we care?)

  8. Outline • Problem & Motivation • Overview of related work & geographic routing • Our Solution: GDSTR-3D • Performance Evaluation • Conclusion • Future Work

  9. Related work  2D geographic routing ― GPSR (Karp & Kung, Mobicom 2000) ― GOAFR+ family (Kuhn et al., Mobihoc 2003) ― CLDP (Kim et al., NSDI 2005) ― GDSTR (Leong et al., NSDI 2006)  3D geographic routing ― GRG (Flury & Wattenhofer, Infocom 2008) ― GHG (Liu & Wu, Infocom 2009)

  10. Related work  Point-to-point ― AODV (Perkins, Milcom 1997) ― VPCR (Newsome & Song, SenSys 2003) ― BVR (Fonseca et al., NSDI 2005) ― VRR (Caesar et al., SIGCOMM 2006) ― S4 (Mao et al., NSDI 2007)  Virtual Coordinates ― NoGeo (Rao et al., Mobicom 2003) ― PSVC (Zhou et al., ICNP 2010)

  11. Our Approach Extend GDSTR to 3D Complications!

  12. Overview: Geographic Routing Nodes have coordinates

  13. Overview: Geographic Routing source Nodes have coordinates

  14. Overview: Geographic Routing source dest Nodes have coordinates

  15. Overview: Geographic Routing source dest Packet contains coordinates of destination

  16. Overview: Geographic Routing source dest Greedy forwarding!

  17. Overview: Geographic Routing source dest Greedy forwarding!

  18. Overview: Geographic Routing source dest Greedy forwarding!

  19. Overview: Geographic Routing source dest Dead end! (local minima)

  20. Overview: GDSTR source dest Distributed Spanning Tree

  21. Overview: GDSTR source dest root Distributed Spanning Tree

  22. Overview: GDSTR root Aggregate coordinates with convex hulls

  23. Overview: GDSTR root Aggregate coordinates with convex hulls

  24. Overview: GDSTR root Aggregate coordinates with convex hulls

  25. Overview: GDSTR root Aggregate coordinates with convex hulls

  26. Overview: GDSTR root Aggregate coordinates with convex hulls

  27. Overview: GDSTR root Aggregate coordinates with convex hulls

  28. Overview: GDSTR root Aggregate coordinates with convex hulls

  29. Overview: GDSTR root Aggregate coordinates with convex hulls

  30. Overview: GDSTR root Hull Tree

  31. Overview: GDSTR source dest root Remember minimum ⇒ tree traversal

  32. Overview: GDSTR source dest root Tree Traversal

  33. Overview: GDSTR source dest root Tree Traversal

  34. Overview: GDSTR source dest Back to Greedy Forwarding!

  35. Overview: GDSTR source dest Back to Greedy Forwarding!

  36. Overview: GDSTR source dest Done!!

  37. Why do hull trees work?  Used only to escape from local minimum  Cheap to build – O(log n)

  38. Caveat CONCAVE VOID

  39. Caveat dest

  40. Caveat local minimum dest

  41. Caveat root local minimum TERRIBLE! dest

  42. Need TWO hull trees rooted at opposite ends One tree sufficient for correctness. local minimum Two trees needed for efficiency. root dest

  43. Our Approach Extend GDSTR to 3D Complications!

  44. Challenges (Why is it hard in TinyOS?)  TinyOS does not support dynamic memory allocation  CC2420 radio supports up to 128 bytes in size and has a limited data rate  Limited DRAM and flash memory  Precision of floating point operations is limited

  45. Naïve Implementation of 3D Convex Hull  Computations are costly  Need to store auxiliary data structures for efficiency ⇒ storage costly  Messages too big

  46. Key ideas 1. Approximate 3D Convex Hull with 2 x 2D Convex Hull 2. Use two-hop greedy forwarding 3. Simplify (details in paper)

  47. GDSTR-3D z Example of a 3D convex hull y x

  48. GDSTR-3D Projection onto z orthogonal planes (xy-, yz-, and zx-plane) y x

  49. GDSTR-3D Projection onto z orthogonal planes (xy-, yz-, and zx-plane) y x

  50. GDSTR-3D Use two of these 2D z convex hulls to approximate the 3D convex hull y x

  51. P ERFORMANCE E VALUATION

  52. Metrics 1. Success rate 2. Hop stretch 3. Maximum Storage 4. Message Overhead

  53. Indriya Testbed (NUS) • 127 TelosB motes distributed over 3 floors • Picked random subsets of nodes on 1, 2 and 3 floors

  54. Algorithms 1. GDSTR-3D (-2D) 2. GDSTR (2D Face 3. CLDP/GPSR Routing) 4. AODV 5. VRR 6. S4

  55. Success rate vs. network size

  56. Hop stretch (GDSTR+) vs. network size One-hop Two- hop

  57. Hop stretch vs. network size

  58. Size of compiled binaries & source code Algorithm Compiled binary Lines of code Size (KB) GDSTR-3D 39.5 2,757 GDSTR 33.8 2,641 CLDP/GPSR 47.5 2,500 S4 43.2 3,997 VRR 45.1 4,135 AODV 21.1 1,294

  59. TOSSIM Experiments

  60. Hop stretch vs. network density 2D doesn’t work!

  61. Greedy forwarding success rate vs. network density

  62. Scaling Up

  63. Hop stretch vs. network size

  64. Maximum storage vs. network size

  65. Message overhead (bytes) vs. network size

  66. Summary: Scaling Up (3,200 nodes) Algorithm Stretch Storage Overhead - GDSTR-3D GDSTR-2D S4 VRR - AODV ?

  67. Comprehensive comparison of GDSTR-3D to 1.AODV 2.VRR 3.S4 Details in the paper.

  68. Key Contributions 1. Practical 3D geographic routing • 2x2D hulls for aggregation • Two-hop greedy 2. Comprehensive comparison of state-of-art point-to-point algorithms for TinyOS

  69. Summary For small sensor networks (<200 nodes): pick your favorite algorithm. 

  70. For large sensor networks (~3,200 nodes), geographic routing algorithms are most scalable: • relatively low overheads • storage matters, but is not overriding consideration

  71. Life’s complicated

  72. Tradeoffs at a glance Algorithm Needs Needs Reactive? coordinates? location service GDSTR-3D S4 VRR AODV

  73. Future Work • More Thorough Comparison • link losses • quantify cost of location service/ coordinate assignment • resilience • incremental costs • traffic pattern/load • Sleep-wake duty cycle • Reduce memory footprint

  74. TinyOS Source Code Available here: https://sites.google.com/site/geographicrouting Or email me: benleong@gmail.com

  75. Questions?

  76. Thank You

  77. For large sensor networks , geographic routing algorithms are most scalable:  guarantee packet delivery  storage cost is proportional to network density but size  motes have small RAM

  78. Choice:  Extend existing 2D geographic routing algorithms to implement a 3D routing algorithm  GDSTR is a natural candidate for extension

  79. Routing in 3D:  Geographic routing in 3D topologies is intrinsically harder than routing in 2D topologies since greedy forwarding tends to encounter more local minima in general 3D topologies  It is not entirely straightforward to extend GDSTR to 3D because that 3D convex hulls require significantly more storage and are much more computationally costly

  80. Solution:  Extend greedy forwarding by using 2- hop neighbor information to improve the greedy forwarding success rate in 3D networks  Approximate 3D convex hulls with two 2D convex hulls

  81. All graphs

  82. Greedy forwarding success rate vs. network size(high density)

  83. Greedy forwarding success rate vs. network size(low density)

  84. Success rate vs. network size

  85. Hop stretch(GDSTR+) vs. network size

  86. Hop stretch vs. network size

  87. Greedy forwarding success rate vs. network density

  88. Hop stretch vs. network density

  89. Average storage vs. network density

  90. Maximum storage vs. network density

  91. Message overhead(packets) vs. network density

  92. Message overhead(bytes) vs. network density

  93. Scaling up

  94. Greedy forwarding success rate vs. network size(low density)

  95. Greedy forwarding success rate vs. network size(high density)

  96. Hop stretch vs. network size(low density)

  97. Hop stretch vs. network size(high density)

  98. Hop stretch vs. network size with multiple obstacles

  99. Hop stretch vs. network size with multiple obstacles

  100. Maximum storage vs. network size

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