1. Applying Evolutionary Algorithm to Chaco Tool on the Partitioning of Power Transmission System (CS448 Class Project) Yan Sun

2. Problem Statement Overheads in Maxflow Calculation need to be minimized Partition the Power Transmission System (PTS) using Chaco An optimal set of parameters for Chaco

3. Chaco Developed by Bruce Hendrickson at Sandia National Lab Available partitioning methods  Inertial  Spectral  Kernighan-Lin  Multilevel KL

4. Chaco Parameters Debugging Parameters Execution Parameters Extended Functionality Parameters

5. Previous Experimentations Austin and Brian’s experiments  # partitions – 5 or 6  Degree as vertex weight  200 – 400 external message counts

6. Experimental Procedure Download and install Maxflow Run Chaco Take output from Chaco and create XML file Run Maxflow

7. EA Details -- Parameters # partitions  5  6 # coarsening to  50  20 Partition method  Bisection  Quadrisection

8. EA Details Representation— array of 297 integers  first 99  next 198  Both vertex weights and edge weights Objective Function— number of message passed across partitions Fitness Function—negative value of Object Function

9. EA Details Population  Size = 20  Random Initialization Offspring  Size = 6 Parent Selection  Tournament

10. EA Details Recombination Mutation Survivor Selection  Deterministic, Elitist, Steady State Termination Condition  Max # of generations  No improvement  Best solution found

11. Parameter Sets # Partitions # Coarsening to Partition Method Para 1550Bisection Para 2550Quadrisection Para 3520Bisection Para 4520Quadrisection Para 5650Bisection

12. Average Fitness Values Para 1Para 2Para 3Para 4Para 5 Terminating Average Fitness -130.72-138.32-150.72-134.26-148.76

13. Fitness vs. Generations

14. Wilcoxon Rank-Sum Test

19. # Generations to Reach Best Fitness

20. Wilcoxon Rank-Sum Test

21. Conclusion No difference found among parameter sets Fewer external message counts  130-150 vs 200-400  Better partition?

22. Problem Non-deterministic evaluation results population average fitness value

23. Q/A?