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DyKCo, Dynamic K-Coverage in
Wireless Sensor Networks
2008 IEEE International Conference on Systems, Man, and
Cybernetics (SMC 2008)
By:
Amir Yahyavi†, Laleh Roostapour‡,
Roohollah Aslanzadeh‡, Nasser Yazdani†
†ECE Department, University of Tehran
‡CEIT Department, Amirkabir University of Technology
October 2008
• Introduction & Problem Definition
• Related Works & Assumptions
• DyKCo – Dynamic K-Coverage
• Misplaced K-Coverage Problem & MAC
Support
• Simulations, Conclusions &Future works
Introduction & Problem
Definition
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 2
Problem Definition
Power-constrained wireless sensor networks
◦ Prolonging network lifetime through power saving
techniques
Sensor scheduling
◦ Active mode vs. sleep mode
Coverage problem
◦ Given:
Field (Area A)
N sensor nodes
Sensing Range
Node Distribution
◦ Question:
How well can the field be monitored?
Maximizing network lifetime by sensor scheduling
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 3
K-Coverage Problem
Each point covered by K sensors
Reasons
◦ Intruder Classification
◦ Fault Tolerance
◦ Detecting False Alarms
◦ Better Accuracy 1
8 R
2
7
6
3
4 5
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 4
• Introduction & Problem Definition
• Related Works & Assumptions
• DyKCo – Dynamic K-Coverage
• Misplaced K-Coverage Problem & MAC
Support
• Simulations, Conclusions &Future works
Related Works &
Assumptions
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 5
Related Works
Sensor Scheduling
◦ Deterministic
High Computational Overhead
High Communication Overhead
Too Many Conditions for Networks
◦ Probabilistic
[Abrams2004]
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 6
Probabilistic Approach
Wake up probability in each cycle – p
Network Lifetime increased by factor
of – 1/p
Tail! Tail! Head! Tail!
t
[Kumar 2004]
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 7
Assumptions
High density network
Synchronized Nodes
Few concurrent events in network
No need for geographical data
Definite detection of an intruder in range of
an active sensor
Several Distributions
◦ Random Uniform
◦ Grid
◦ Poisson
[Kumar2006]
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 8
• Introduction & Problem Definition
• Related Works & Assumptions
• DyKCo – Dynamic K-Coverage
• Misplaced K-Coverage Problem & MAC
Support
• Simulations, Conclusions &Future works
DyKCo – Dynamic K-
Coverage
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 9
Parameters
Parameters
◦ Number of Deployed Nodes – n
◦ Wakeup Probability – p
◦ Sensing Range – r
◦ Coverage Required – K
Goal:
◦ lim Prob(all points k-covered) = 1 as n → ∞
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 10
Static k-Coverage
For slowly increasing function
◦ c(n) = npπr2/log(np)
◦ As n →∞ if we have:
c(n) [ (np)(1+ p log(np) ) + k loglog(np)]/log(np)
[Kumar2006]
◦ Then all points are K covered
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 11
Dynamic k-Coverage
Wakeup probability of all nodes is set
to 1-Coverage
Upon detection the only active node in
the area of the intruder sends an alarm
message
All neighbor nodes increase their
wakeup probability to K-Coverage
If the intruder is not detected the level
is decreased to 1-Coverage
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 12
Dynamic K-Coverage
Dynamic K-Coverage
◦ Providing 1-Coverage
◦ Providing K-Coverage over the intrusion
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 13
• Introduction & Problem Definition
• Related Works & Assumptions
• DyKCo – Dynamic K-Coverage
• Misplaced K-Coverage Problem &
MAC Support
• Simulations, Conclusions &Future works
Misplaced K-Coverage
problem & MAC Support
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 14
Misplaced k-Coverage
The area K-Covered is centered around the alarming
node The area that will have k-coverage in the next cycle
The area that
should have k-
The area that should have k-
coverage in
coverage in the next cycle
the next cycle
if the intruder
doesn’t move
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 15
Solution
Using higher wakeup probably
◦ Considering only half of the effective nodes
hear the alert message
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 16
Mac Support
MAC Layer Support
◦ Synchronized wakeups
◦ S-MAC, T-MAC, Delay Efficient S-MAC
Not waking up all nodes in intrusion
area:
◦ Lower Energy Consumption
◦ Collision avoidance
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 17
• Introduction & Problem Definition
• Related Works & Assumptions
• DyKCo – Dynamic K-Coverage
• Misplaced K-Coverage Problem & MAC
Support
• Simulations, Conclusions & Future
works
Simulations, Conclusions &
Future Works
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 18
Simulations
Area: Square 150mX150m
Communication & Sensing Range: 4m
8
7
Minimum Coverage on Target
6
5
Dykco (n/2)
4 Dykco
Static K-Coverage
3
2
1
0
15000 20000 25000 30000 35000 40000
Number of Deployed Sensors
Minimum Coverage Provided over the Intruder
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 19
Simulations
1800
1600
Avergae Number of Active Nodes
1400
1200
1000
800
600 Dykco (n/2)
400 Dykco
200 Static K-Coverage
0
15000 20000 25000 30000 35000 40000
Number of Deployed Sensors
Average number of Active nodes in each cycle
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 20
Conclusions
Dramatic Energy Savings
Very low Computational and
Communicational Overhead
Stealthy
Secure
Scalable
Configurable
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 21
Future Works
Better approximations for wakeup
probability
Other solutions for Misplaced K-
Coverage problem
◦ Estimating the covered Area
◦ Delayed Coverage Reduction
◦ Diffusion Model
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 22
Future Works
)(a )(b
Covered Area Estimation
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 23
Future Works
Delayed Reduction Model
k-3
k-2
Diffusion Model
k-1
k-2
k-1 k
k
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 24
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Thanks
Questions/Comments
October 15, 2008 DyKCo, Dynamic K-Coverage in Wireless Sensor Networks 27
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