1. Bin Cui, Hua Lu, Quanqing Xu, Lijiang Chen, Yafei Dai, Yongluan Zhou ICDE 08 Parallel Distributed Processing of Constrained Skyline Queries by Filtering 1

2. Outline Introduction Problem Definition Parallel Distributed Skyline Processing Experimental Study Conclusion 2

3. Introduction Distributed computing environments is consisting of different computers. Sorg directly communicates with any other site(Computer). Each site(Computer) can compute at the same time (Parallel). For instance, multiple stock information databases available at different places like New York Stock Exchange, London Stock Exchange, Tokyo Stock Exchange, etc. For each single stock, the agent needs to take into consideration multiple attributes. Therefore, a skyline query against those distributed databases will help the agent get those interesting stocks. 3

4. Problem Definition Sorg directly communicates with any other site Si. D : {p(2,6),q(2,4),r(3,3)}, q and r are not dominated. Skyline of D:{q, r } 4

5. Parallel Distributed Skyline Processing Computing local skyline and rMBRs in parallel. Parallel Distributed Query Execution Merge. 5

6. (Cont.) Computing local skyline and rMBRs in paralle Green Block: MBR Skyline: {(1,4),(3,3),(5,2)}) 6

7. (Cont.) Blue Block: skyline and rMBB (reduce MBB). rMBB only includes local skyline.{(1,4), (3,3),(5,2)}. 7

8. (Cont.) Parallel Distributed Query Execution Each site has a rMBB and local skyline set, and rMBB is represented by two points, the lower left corner rMBB.min and its uper right corner rMBB.max 8

9. (Cont.) rMBB 1 rMBB 2 rMBB 2.min rMBB 2.min.DR rMBB 1.min rMBB 1.min.DR 9

10. (Cont.) Execution plan: partitioning : Incomparable Partitioned into: {{A},{B,C,D,E}{F,G}} 10

11. (Cont.) Though B and D are incomparable, they are assigned to the same group with C and E, because either of them are not incomparable with C (and E). 11

12. (Cont.) Pick filtering point: 1.Distance of each filtering point is max(MaxDist): dominating region of each filtering point has small overlap. 2. filtering points’ Dominating Region is max(MaxSum): dominating region of each filtering point is larege. 3.Random 12

13. (Cont.) Assume 2 filtering point. Max distance: choose (1,5),(6,2) 13

14. (Cont.) Assume 2 filtering point. Max Dominating Region: Choose (2,4) and (4,3) (1,5) (2,4):4 (1,5) (4,3):4 (1,5) (6,2):0 (2,4) (4,3):6 (2,4) (6,2):4 (4,3) (6,2):4 Max 14

15. (Cont.) 15

16. (Cont.) Computing local skylines and rMBBs in parallel. 16

17. (Cont.) 17

18. (Cont.) Partitioned into {{A,B},{C,D}} rMBBIncomparablecomparable AC,DB B A CA,BD D C 18

19. (Cont.) Assume 1 filtering point: A:pick(2,4) (Dominating Region: (1,5):0,(2,4):2,(4,3):0 (2,4) compares with B’s (2,4) dominates (2,7),(5,4) Skyline of Partition {A,B}: {(1,5),(2,4),(4,3)} 19

20. (Cont.) Assume 1 filtering point: C:pick(6,2) (6,2) compares with D’s (6,2) dominates (8,2) (10,1) compares with D’s(10,0) (10,1) is dominated by (10,0) Skyline of Partition{C,D}: {(6,2),(10,0)} 20

21. (Cont.) Merge Skyline of{A,B},{C,D}: {(1,5),(2,4),(4,3),(6,2),(10,0)} 21

22. Experimental Study Independent Datasets 22

23. (Cont.) AntiCorrelated Datasets 23

24. (Cont.) NBA Dataset 24

25. (Cont.) Performance with Different Numbers of Filtering Points 25

26. Conclusion The Percentage of FIlter Points:10% is better. MaxSum is better than MaxDist and Random26 26