Load-Balanced Virtual Backbone Construction for Wireless Sensor Networks
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Transcript of Load-Balanced Virtual Backbone Construction for Wireless Sensor Networks
LOAD-BALANCED VIRTUAL BACKBONE CONSTRUCTION
FOR WIRELESS SENSOR NETWORKS
Jing (Selena) He, Shouling Ji, Yi Pan, Zhipeng Cai
Department of Computer Science
Georgia State University
OUTLINE
Motivation
Solution Overview
Problem Formulation and Analysis
Conclusion
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LOAD-BALANCED CONNECTED DOMINATING SET (LBCDS)
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Minimum-sized CDS (MCDS)
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3 4
5 7 86
Load-Balanced CDS (LBCDS)
Motivation
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LOAD-BALANCEDLY ALLOCATE DIMINATEES (LBAD)
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1 2
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5 6 7 8
1 2
3 4
5 6 7 8
Motivation
Unbalanced Allocation Balanced Allocation
OUTLINE
Motivation
Solution Overview
Problem Formulation and Analysis
Conclusion
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SOLUTION OVERVIEW
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6MinMax Degree Maximal Independent Set (MDMIS)Connected Maximal Independent Set (CMIS)MinMax Valid-degree Dominatee Allocation (MVDA)
OUTLINE
Motivation
Solution Overview
Problem Formulation and Analysis
Conclusion
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MINMAX DEGREE MAXIMAL INDEPENDENT SET (MDMIS)
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DS Property Constraint
IS Property Constraint
linearization
Relaxing
(quadratic)
xi
1 vi is a dominator
0 otherwise
APPROXIMATION ALGORITHM (RANDOM ROUNDING)
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Due to the relaxation enlarged the optimization space, the solution of LP*
MDMIS corresponds to a lower bound to the objective of INPMDMIS
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MINMAX DEGREE MAXIMAL INDEPENDENT SET (MDMIS)
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CONNECTED MAXIMAL INDEPENDENT SET (CMIS)
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Relaxing
MINMAX VALID-DEGREE DOMINATEE ALLOCATION (MVDA)
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Each dominatee can be allocated to only one dominator
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MINMAX VALID-DEGREE DOMINATEE ALLOCATION (MVDA)
OUTLINE
Motivation
Solution Overview
Problem Formulation and Analysis
Conclusion
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CONCLUSIONS
LBCDS is NP-Complete, constructed in two steps: MinMax Degree Maximal Independent Set (MDMIS)Connected Maximal Independent Set (CMIS)
Load-Balanced Allocation MinMax Valid-Degree Dominatee Allocation (MVDA)
Approximation algorithms and performance ratio analysis are presented.
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Q & A