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Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007. 11. 12

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Page 1: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006Antonio Capone and Giuliana Carello Keon Jang2007. 11. 12

Page 2: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Outline

•Introduction•Problem Formulation•Solution Approach•Numerical Result•Conclusion

Page 3: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Introduction

•Wireless Mesh Networks (WMNs) have emerged recently as a new network architecture

•WMNs can partially replace the wired backbone network

•The backbone network is usually devised to provide an almost static resource assignment

Page 4: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Introduction(cont’d)

•Optimizing resource utilization rather than bandwidth or latency can ease and expediting admission control that need to estimate spare bandwidth

•Scheduling transmission with optimization of power and rate jointly can improve overall network performance

Page 5: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Approach

•Assuming TDMA , power control and rate control ability for each slot

•Find a scheduling that minimizes the number of used time slots to guarantee the required bandwidth

•Integer Linear Programming(ILP) and heuristics to improve computing time

Page 6: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Problem Formulation

•IP Formulation▫Will be transformed to ILP

•Objective Function▫Minimize the number of used slots

Page 7: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Problem Formulation(cont’d)

•Constraints

▫xk is one if at least one link is active in time slot k

▫Each device is active in at most one link in each slot

Page 8: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Problem Formulation(cont’d)

•Constraints▫Traffic requirement of each link is fulfill

▫SINR is enough for transmission

Traffic Requirement

Minimum SINR

Gain on link (i,j)Transmission Power

Page 9: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Problem Formulation(cont’d)

•Without considering power control

•Considering power control

Page 10: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Problem Formulation(cont’d)

•Without considering Transmission Rate

•Considering Transmission Rate

Page 11: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Problem Formulation(cont’d)

1: Solve Problem with initialConfiguration2: While(adding variable improve solution(Pricing problem))3: Add variables4: Solve Problem with current Configuration

Page 12: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Solution Approach

•Linearization

AfterLinearization

Page 13: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Solution Approach

•Performance Optimization▫Pricing problem is ILP(takes long time)

▫In column generation model, instead of solving pricing problem, use greedy algorithm to see if solution can be improved1: Solve Problem with initialConfiguration

2: While(adding variable improve solution(Pricing problem))3: Add variables4: Solve Problem with current Configuration

Page 14: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Numerical Results•Small experiment that shows an effects of

power control and transmission rate control

Page 15: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Numerical Results

•8 randomly generated simulation for each size

Page 16: Scheduling Optimization in Wireless MESH Networks with Power Control and Rate Adaptation SECON 2006 Antonio Capone and Giuliana Carello Keon Jang 2007

Conclusion

•Formulated the joint scheduling, power control, and rate control problem in WMN

•Proposed an heuristic approach that gives an good solution over initial set