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Cost-Efficient Sensor Deployment
in Indoor Space with Obstacles
Nara Institute of Science and Technology
*Tokyo University of Science, Yamaguchi
Nanan Marc Thierry Kouakou, Keiichi Yasumoto,
Shinya Yamamoto*, and Minoru Ito
Overview
2
 Indoor Wireless Sensor Network (indoor WSN)
 Monitor/Collect various information of indoor space
 Human position, temperature, humidity, illuminance, etc
 Application
 Human activity prediction, energy-saving
appliance control, security, etc
Challenges
Coverage of target 3D space
Connectivity among sensor nodes
Design of Indoor WSN
 Characteristics of indoor WSN
 Target monitoring space is three dimensional
 Constraints on installing positions (cost, defiling)
Ex. Easy on ceiling/wall, but not easy on floor/in the air
 Many obstacles
 Influence on sensing and wireless communication
 Requirements for indoor WSN
 Minimize deployment cost
 Guarantee full coverage and wireless connectivity
3
take into account shape of
target space, deployment
cost, influence of obstacles
Organization
1. Related Work
2. Problem Formulation
3. Deployment Algorithms
4. Evaluation
5. Conclusion
4
Related Work:
Coverage of 2D space with Obstacles
5
 [1] proposed a method using Delaunay triangulation
 First apply the contour deployment (around obstacles), then
cover the remaining space by triangles
Problem
The deployment is only considered in 2D space, leading to some
inaccuracies when applying to 3D space
Deployment cost depending on position is not considered
[1] Wu et al., “A Delaunay Triangulation based method for wireless
sensor network deployment”, Computer Communications, 2007
Delaunay
triangulation
Related Work:
Coverage/connectivity in 3D space without obstacles
6
[2] Bai et al., “Full-Coverage and k-Connectivity (k=14,6) Three
Dimensional Networks”, Infocom 2009
[3] Bai et al., “Low-Connectivity and Full-Coverage Three Dimensional
Wireless Sensor Networks”, MobiHoc 2009
 [2][3] showed optimal deployment patterns guaranteeing full
coverage and wireless connectivity in 3D space
 Several different optimal deployment patterns depending on relationship
between sensing and communication radii rs and rc
 Problem
 Not consider influence of obstacles and position-dependent
deployment cost
Human Body Shadowing Problem
7
• No approach focusing on the indoor WSN deployment problem that
takes into account the human body shadowing effects
[4][5] discussed effects of the human body and its mobility
on indoor communications
[4] Klepal et al., Influence of People Shadowing on Optimal Deployment of
WLAN Access Points, VTC2004-Fall.
[5] Collonge et al., Influence of the human activity on wide-band characteristics
of the 60 GHz indoor radio channel, IEEE Trans. Wireless Commun., 3(6), 2004.
Contribution of this Work
 Cost-efficient deployment methods for 3D WSNs in
indoor environment taking into account obstacles
 Coverage of 3D space with static and mobile obstacles
(human body)
8
Organization
1. Related Work
2. Problem Formulation
3. Deployment Algorithms
4. Evaluation
5. Conclusion
9
Assumptions
 Sensor nodes
 Shape of sensing range and communication range: sphere
 Sensing radius rs, communication radius rc (fixed)
10
 Target space
 Deployable area
 Sensor can be installed
 Cost of each point in area given
 Monitoring space
 Space to be monitored
 Obstacles (static and mobile) exist
Deployable
area
Obstacle
Monitoring
space
Assumptions for Obstacles
 Influence on sensing
 Sensor can NOT sense Information
from shadow area
 Influence on wireless comm.
 Sensors can NOT communicate
when obstacle is on the line of sight
11
Sensor
Sensing range
Obstacle
Shadow area
s0 s1
Wireless
communication range
Obstacle
Problem Definition
12
 Input
 Target space, monitoring space
 Deployable area with cost of each point
 Sensing and communication radii rs,rc
 Output
 Number of sensors, sensor positions
 Constraints
 Monitoring space is k-covered
 Wireless connectivity between sensors
 Objective
 Minimize overall deployment cost
This is NP-hard problem (minimum set cover)
Any point of monitoring
space is covered by at
least k sensors
Assumption for Mobile Obstacles
m
s
mobile
obstacle
pos
s
m
mobile
obstacle
ceiling
ground
pos
mh
 Only human body considered as mobile obstacle
 Represented by cylinder: radius mr, height mh
 Mobile obstacle obstructs monitoring point m from some sensors
sensing ranges  obstructed sensors change by mobile’s position
 We assume each point is affected by only one mobile obstacle at one time
Top view Side view
13
Sensors
Mobile k-Coverage Problem
Target problem for mobile obstacle
Determine the number of sensor nodes and their installing
positions to achieve mobile k-coverage with the minimal
deployment cost
 Mobile k-Coverage
 A monitoring point m is mobile k-covered if for any location of
the mobile obstacle, m is k-covered
14
Organization
1. Related Work
2. Problem Formulation
3. Deployment Algorithms
4. Evaluation
5. Conclusion
15
Discretization of Problem
 Complexity
 Modified problem still NP-hard
 Discretization
 Deployable area Deployable points
 Target monitoring space Monitoring points
Heuristic algorithms to achieve
a near-optimal solution in a reasonable amount of time
16
Algorithm for Minimal Cost
k-Coverage (only static obstacles)
 per-cost volume: how many monitoring points are covered
by the deployable point per unit deployment cost
 Places sensor node on the grid point
with the highest per-cost volume
 Repeats until all the monitoring points
are sufficiently covered
per-cost volume =
Number of monitoring points covered
Deployment cost of the deployable point
0.65 0.75
0.150.350.35
0.25
0.2 0.65 0.25
0.45
0.050.250.35
0.25
0.2 0.150.55
0.050.250.35
0.25 0.40
0.1 0.05
17
Influence of the Mobile Obstacle
 Vertical plane Δ
 tangent to the monitoring point
 orthogonal to the mobile obstacle
 Shaded area: half-space divided by Δ
that contains the mobile obstacle
 Nodes in the shaded area cannot sense
the monitoring point
(Δ)
shaded area
monitoring
point
Sufficient condition for mobile k-coverage:
For arbitrary position of the mobile obstacle,
the half-sphere that is not in the shaded
area, contains at least k sensor nodes
18
Sensor Placement for
Mobile k-Coverage (1)
 Basic Idea
 Consider sphere with radius: rs centered at the monitoring point
 Divide it into 2k equivalent portions (spherical wedges)
 Put one sensor in each wedge
k2
2
Spherical wedge
19
wedge
sensor
(Δ)
??
sensor
4

obstacle
4

Dividing into 2k wedges
(k=4)
Dividing into 2k+1 wedges
(k=2)
Sensor Placement for
Mobile k-Coverage (2)
 Covering spherical wedge
 Divide sphere into 2k+2 wedges
 angle: , radius: rs
)1(2
2
k

covering
wedge
monitoring point
sensor node
Spherical wedge Covering spherical wedge (k=3)
4

20
Heuristic Algorithm for Minimal Cost
Mobile k-Coverage
per-cost volume: for a deployable point, the number of covering
wedges in which it is located per unit deployment cost
 For each monitoring, compute covering spherical wedges
monitoring
points
deployable
points
deployed
nodes
1. For each monitoring
point, determine its covering wedges
2. Set a node on the deployable
point with the highest per-cost volume
3. Repeat until each wedge contains
at least one node
21
k=1
Organization
1. Related Work
2. Problem Formulation
3. Deployment Algorithms
4. Evaluation
5. Conclusion
22
Evaluation
 Purpose
1. Understand to what extent the deployment cost can be reduced
2. Investigate the effectiveness of the computed deployment for
obstacles
23
Evaluation on Deployment Cost
Three deployable regions
region 1 (cost=1): on the ceiling
region 2 (cost=5): in the “air” (h = 2m)
region 3 (cost=2): on the partition walls
Target monitoring space
Horizontal plane (h = 1.5m)
Side view
floor
Top view of the indoor environment
Method # of nodes
Deploym
ent cost
Proposed Method 14 19
Triangular lattice [6] 7 35
The deployment cost is 45% smaller
[6] Bai et al., “Complete optimal deployment patterns for full-coverage and k-connectivity
(k≤ 6) wireless sensor networks”, 9th ACM Mobihoc, 2007
ceiling
24
Evaluation of Mobile 3-Coverage
sinktag node
sensor node
 Purpose: investigate if beacon sent by tag node is received by at
least 3 sensors with sufficient RSSI for arbitrary position of user
1. The tag node broadcasts a beacon at some monitoring point
2. Sensor node which receives the beacon sends the RSSI with its ID to the sink
3. The message with (node_id, rssi) is logged with the timestamp at the sink
① ②
③
25
user
Coverage and Sensing Radius
rssi0 : average RSSI of a packet sent from
a ZigBee device placed at a distance 5m
rssi0 (d=5m) = -60dBm
Distance (m) 3 4 5 6
RSSI value (dBm) -56 -60 -60 -63
If a sensor node receives a beacon sent from monitoring point with
RSSI greater than rssi0, then this point is covered by the node.
ZigBee DeviceRSSI measurement without obstacle
26
Monitoring Area and User Position
 Target monitoring area
 2.5m x 2.5m, horizontal plane at height 1m above the floor
 For each target point (P1…P4), the user stands at 4 positions
around the tag node at distance of 5 to 10 cm
UP1
UP2
UP3
UP4
tag node
Monitoring points User’s positions
27
5-10cm
Sensor Deployment
28
 Installed 9 sensors based on computation result
Seminar room at NAIST
S1
S2S3S4
S5
S6
S7 S8 S9
Result of Mobile 3-Coverage
29
-70.0
-60.0
-50.0
-40.0
UP1 UP2 UP3 UP4
rssi0
At least 3 sensors received beacon with RSSI more than -60dbM for
any point P1—P4 and any user position UP1— UP4
 mobile 3-coverage is achieved
P1
-70.0
-60.0
-50.0
-40.0
rssi0
P2
S1
S2
S3
S4
S5
S6
S7
S8
S9
UP1 UP2 UP3 UP4
Conclusion
 Cost-efficient sensor deployment method for indoor
 Defined problem taking into account position-dependent
installing cost and obstacle influence
 Devised algorithm which places one sensor in each
1/2(k+1) spherical wedge for mobile k-coverage
 Evaluated mobile 3-coverage on ZigBee testbed
 Future work
 Integrating more accurate model of radio signal
diffraction and fading effect
30

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Cost-Efficient Sensor Deployment in Indoor Space with Obstacles

  • 1. Cost-Efficient Sensor Deployment in Indoor Space with Obstacles Nara Institute of Science and Technology *Tokyo University of Science, Yamaguchi Nanan Marc Thierry Kouakou, Keiichi Yasumoto, Shinya Yamamoto*, and Minoru Ito
  • 2. Overview 2  Indoor Wireless Sensor Network (indoor WSN)  Monitor/Collect various information of indoor space  Human position, temperature, humidity, illuminance, etc  Application  Human activity prediction, energy-saving appliance control, security, etc Challenges Coverage of target 3D space Connectivity among sensor nodes
  • 3. Design of Indoor WSN  Characteristics of indoor WSN  Target monitoring space is three dimensional  Constraints on installing positions (cost, defiling) Ex. Easy on ceiling/wall, but not easy on floor/in the air  Many obstacles  Influence on sensing and wireless communication  Requirements for indoor WSN  Minimize deployment cost  Guarantee full coverage and wireless connectivity 3 take into account shape of target space, deployment cost, influence of obstacles
  • 4. Organization 1. Related Work 2. Problem Formulation 3. Deployment Algorithms 4. Evaluation 5. Conclusion 4
  • 5. Related Work: Coverage of 2D space with Obstacles 5  [1] proposed a method using Delaunay triangulation  First apply the contour deployment (around obstacles), then cover the remaining space by triangles Problem The deployment is only considered in 2D space, leading to some inaccuracies when applying to 3D space Deployment cost depending on position is not considered [1] Wu et al., “A Delaunay Triangulation based method for wireless sensor network deployment”, Computer Communications, 2007 Delaunay triangulation
  • 6. Related Work: Coverage/connectivity in 3D space without obstacles 6 [2] Bai et al., “Full-Coverage and k-Connectivity (k=14,6) Three Dimensional Networks”, Infocom 2009 [3] Bai et al., “Low-Connectivity and Full-Coverage Three Dimensional Wireless Sensor Networks”, MobiHoc 2009  [2][3] showed optimal deployment patterns guaranteeing full coverage and wireless connectivity in 3D space  Several different optimal deployment patterns depending on relationship between sensing and communication radii rs and rc  Problem  Not consider influence of obstacles and position-dependent deployment cost
  • 7. Human Body Shadowing Problem 7 • No approach focusing on the indoor WSN deployment problem that takes into account the human body shadowing effects [4][5] discussed effects of the human body and its mobility on indoor communications [4] Klepal et al., Influence of People Shadowing on Optimal Deployment of WLAN Access Points, VTC2004-Fall. [5] Collonge et al., Influence of the human activity on wide-band characteristics of the 60 GHz indoor radio channel, IEEE Trans. Wireless Commun., 3(6), 2004.
  • 8. Contribution of this Work  Cost-efficient deployment methods for 3D WSNs in indoor environment taking into account obstacles  Coverage of 3D space with static and mobile obstacles (human body) 8
  • 9. Organization 1. Related Work 2. Problem Formulation 3. Deployment Algorithms 4. Evaluation 5. Conclusion 9
  • 10. Assumptions  Sensor nodes  Shape of sensing range and communication range: sphere  Sensing radius rs, communication radius rc (fixed) 10  Target space  Deployable area  Sensor can be installed  Cost of each point in area given  Monitoring space  Space to be monitored  Obstacles (static and mobile) exist Deployable area Obstacle Monitoring space
  • 11. Assumptions for Obstacles  Influence on sensing  Sensor can NOT sense Information from shadow area  Influence on wireless comm.  Sensors can NOT communicate when obstacle is on the line of sight 11 Sensor Sensing range Obstacle Shadow area s0 s1 Wireless communication range Obstacle
  • 12. Problem Definition 12  Input  Target space, monitoring space  Deployable area with cost of each point  Sensing and communication radii rs,rc  Output  Number of sensors, sensor positions  Constraints  Monitoring space is k-covered  Wireless connectivity between sensors  Objective  Minimize overall deployment cost This is NP-hard problem (minimum set cover) Any point of monitoring space is covered by at least k sensors
  • 13. Assumption for Mobile Obstacles m s mobile obstacle pos s m mobile obstacle ceiling ground pos mh  Only human body considered as mobile obstacle  Represented by cylinder: radius mr, height mh  Mobile obstacle obstructs monitoring point m from some sensors sensing ranges  obstructed sensors change by mobile’s position  We assume each point is affected by only one mobile obstacle at one time Top view Side view 13 Sensors
  • 14. Mobile k-Coverage Problem Target problem for mobile obstacle Determine the number of sensor nodes and their installing positions to achieve mobile k-coverage with the minimal deployment cost  Mobile k-Coverage  A monitoring point m is mobile k-covered if for any location of the mobile obstacle, m is k-covered 14
  • 15. Organization 1. Related Work 2. Problem Formulation 3. Deployment Algorithms 4. Evaluation 5. Conclusion 15
  • 16. Discretization of Problem  Complexity  Modified problem still NP-hard  Discretization  Deployable area Deployable points  Target monitoring space Monitoring points Heuristic algorithms to achieve a near-optimal solution in a reasonable amount of time 16
  • 17. Algorithm for Minimal Cost k-Coverage (only static obstacles)  per-cost volume: how many monitoring points are covered by the deployable point per unit deployment cost  Places sensor node on the grid point with the highest per-cost volume  Repeats until all the monitoring points are sufficiently covered per-cost volume = Number of monitoring points covered Deployment cost of the deployable point 0.65 0.75 0.150.350.35 0.25 0.2 0.65 0.25 0.45 0.050.250.35 0.25 0.2 0.150.55 0.050.250.35 0.25 0.40 0.1 0.05 17
  • 18. Influence of the Mobile Obstacle  Vertical plane Δ  tangent to the monitoring point  orthogonal to the mobile obstacle  Shaded area: half-space divided by Δ that contains the mobile obstacle  Nodes in the shaded area cannot sense the monitoring point (Δ) shaded area monitoring point Sufficient condition for mobile k-coverage: For arbitrary position of the mobile obstacle, the half-sphere that is not in the shaded area, contains at least k sensor nodes 18
  • 19. Sensor Placement for Mobile k-Coverage (1)  Basic Idea  Consider sphere with radius: rs centered at the monitoring point  Divide it into 2k equivalent portions (spherical wedges)  Put one sensor in each wedge k2 2 Spherical wedge 19 wedge sensor (Δ) ?? sensor 4  obstacle 4  Dividing into 2k wedges (k=4) Dividing into 2k+1 wedges (k=2)
  • 20. Sensor Placement for Mobile k-Coverage (2)  Covering spherical wedge  Divide sphere into 2k+2 wedges  angle: , radius: rs )1(2 2 k  covering wedge monitoring point sensor node Spherical wedge Covering spherical wedge (k=3) 4  20
  • 21. Heuristic Algorithm for Minimal Cost Mobile k-Coverage per-cost volume: for a deployable point, the number of covering wedges in which it is located per unit deployment cost  For each monitoring, compute covering spherical wedges monitoring points deployable points deployed nodes 1. For each monitoring point, determine its covering wedges 2. Set a node on the deployable point with the highest per-cost volume 3. Repeat until each wedge contains at least one node 21 k=1
  • 22. Organization 1. Related Work 2. Problem Formulation 3. Deployment Algorithms 4. Evaluation 5. Conclusion 22
  • 23. Evaluation  Purpose 1. Understand to what extent the deployment cost can be reduced 2. Investigate the effectiveness of the computed deployment for obstacles 23
  • 24. Evaluation on Deployment Cost Three deployable regions region 1 (cost=1): on the ceiling region 2 (cost=5): in the “air” (h = 2m) region 3 (cost=2): on the partition walls Target monitoring space Horizontal plane (h = 1.5m) Side view floor Top view of the indoor environment Method # of nodes Deploym ent cost Proposed Method 14 19 Triangular lattice [6] 7 35 The deployment cost is 45% smaller [6] Bai et al., “Complete optimal deployment patterns for full-coverage and k-connectivity (k≤ 6) wireless sensor networks”, 9th ACM Mobihoc, 2007 ceiling 24
  • 25. Evaluation of Mobile 3-Coverage sinktag node sensor node  Purpose: investigate if beacon sent by tag node is received by at least 3 sensors with sufficient RSSI for arbitrary position of user 1. The tag node broadcasts a beacon at some monitoring point 2. Sensor node which receives the beacon sends the RSSI with its ID to the sink 3. The message with (node_id, rssi) is logged with the timestamp at the sink ① ② ③ 25 user
  • 26. Coverage and Sensing Radius rssi0 : average RSSI of a packet sent from a ZigBee device placed at a distance 5m rssi0 (d=5m) = -60dBm Distance (m) 3 4 5 6 RSSI value (dBm) -56 -60 -60 -63 If a sensor node receives a beacon sent from monitoring point with RSSI greater than rssi0, then this point is covered by the node. ZigBee DeviceRSSI measurement without obstacle 26
  • 27. Monitoring Area and User Position  Target monitoring area  2.5m x 2.5m, horizontal plane at height 1m above the floor  For each target point (P1…P4), the user stands at 4 positions around the tag node at distance of 5 to 10 cm UP1 UP2 UP3 UP4 tag node Monitoring points User’s positions 27 5-10cm
  • 28. Sensor Deployment 28  Installed 9 sensors based on computation result Seminar room at NAIST S1 S2S3S4 S5 S6 S7 S8 S9
  • 29. Result of Mobile 3-Coverage 29 -70.0 -60.0 -50.0 -40.0 UP1 UP2 UP3 UP4 rssi0 At least 3 sensors received beacon with RSSI more than -60dbM for any point P1—P4 and any user position UP1— UP4  mobile 3-coverage is achieved P1 -70.0 -60.0 -50.0 -40.0 rssi0 P2 S1 S2 S3 S4 S5 S6 S7 S8 S9 UP1 UP2 UP3 UP4
  • 30. Conclusion  Cost-efficient sensor deployment method for indoor  Defined problem taking into account position-dependent installing cost and obstacle influence  Devised algorithm which places one sensor in each 1/2(k+1) spherical wedge for mobile k-coverage  Evaluated mobile 3-coverage on ZigBee testbed  Future work  Integrating more accurate model of radio signal diffraction and fading effect 30