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

2

LOAD-BALANCED CONNECTED DOMINATING SET (LBCDS)

3

3 4

5 6 7 8

Minimum-sized CDS (MCDS)

1 2

3 4

5 7 86

Load-Balanced CDS (LBCDS)

Motivation

1 2

LOAD-BALANCEDLY ALLOCATE DIMINATEES (LBAD)

4

1 2

3 4

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

5

SOLUTION OVERVIEW

6

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

7

MINMAX DEGREE MAXIMAL INDEPENDENT SET (MDMIS)

8

8

DS Property Constraint

IS Property Constraint

linearization

Relaxing

(quadratic)

xi

1 vi is a dominator

0 otherwise

APPROXIMATION ALGORITHM (RANDOM ROUNDING)

9

9

Due to the relaxation enlarged the optimization space, the solution of LP*

MDMIS corresponds to a lower bound to the objective of INPMDMIS

.

MINMAX DEGREE MAXIMAL INDEPENDENT SET (MDMIS)

10

CONNECTED MAXIMAL INDEPENDENT SET (CMIS)

11

Relaxing

MINMAX VALID-DEGREE DOMINATEE ALLOCATION (MVDA)

12

Each dominatee can be allocated to only one dominator

13

MINMAX VALID-DEGREE DOMINATEE ALLOCATION (MVDA)

OUTLINE

Motivation

Solution Overview

Problem Formulation and Analysis

Conclusion

14

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.

15

16

Q & A