Bitmap Algorithms for Counting Active Flows on High Speed Links. Elisa Jasinska

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1 Bitmap Algorithms for Counting Active Flows on High Speed Links Elisa Jasinska Seminar: Internet Measurement Technische Universität Berlin - Deutsche Telekom Laboratories

2 Reference Cristian Estan, George Varghese & Mike Fisk, Bitmap Algorithms for Counting Active Flows on High Speed Links, Internet Measurement Conference 2003 Paper: p327-estan.ps Presentation: cestan/papers/flowcountingbitmaps.ppt

3 Agenda Flow? Counting Flows? Motivation Bitmap Algorithms Number of Flows? Tests and Results Summary

4 Flow? Constant values in certain fields of packet header Eg. source and destination IP address, port numbers, etc. FlowID Distinction between active and inactive flows

5 Counting Flows? Portscans Denial of Service attacks (DoS) General measurements Packet scheduling

6 Motivation Counting flows on high speed links needs: Fast processing Little (and fast) memory usage Bitmaps just set a bit no read-modify-write operation needed!

7 Bitmap Algorithms Direct Bitmap Virtual Bitmap Multiresolution Bitmap Derived Algorithms

8 Direct Bitmap Hash function on flowid Set bit accordingly

9 Direct Bitmap Collisions: Different flowid can result in same bit Estimation error large with fill grade > 50% Bitmap size must grow linearly with the amount of flows more memory usage

10 Virtual Bitmap Writes only part of the direct bitmap that would be needed for accurate result Reduced memory usage Information about flow amount needed upfront

11 Multiple Bitmaps Multiple virtual bitmaps with different resolutions Allows us to choose the most accurate one More memory usage! More bit-set operations!

12 Multiresolution Bitmap One bitmap, different resolutions Less memory usage! Less bit-set operations! Multiple virtual bitmaps can be calculated back through OR operations

13 Derived Algorithms Adaptive Bitmap, combination of... Large Virtual Bitmap and Small Multiresolution Bitmap Triggered Bitmap, combination of... Small Direct Bitmap and Large Multiresolution Bitmap

14 Number of Flows? Estimation due to collisions Expected error depends on flow density Important factor: configuration (size of bitmaps, etc.)

15 Tests and Results Error in # of flows with Virtual Bitmap with different flow densities Memory usage comparison of Snort, probabilistic counting and Triggered Bitmap

16 Virtual Bitmap Error

17 Triggered Bitmap Memory Usage Snort Minimum memory usage in an implementation using naive algorithm Probabilistic counting Based on multiresolution bitmap Triggered Bitmap

18 Triggered Bitmap Memory Usage Interval Snort Calculation Triggered Bitmap 12 sec K K 381 K 600 sec K K K

19 Summary Use bitmaps to count flows On high speeds With reduced memory usage Only set a one bit No read-modify-write operation needed Less memory usage

20 Summary Hash function reduces number of results Even less memory usage Fast SRAM can be used Number of flows calculated statistically Error estimations feasible

21 Thanks for listening! Questions? Seminar: Internet Measurement Technische Universität Berlin - Deutsche Telekom Laboratories

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