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Lecture 03: More Approximations for QoS Routing

Lecture 03: More Approximations for QoS Routing. Guoliang (Larry) Xue Department of CSE Arizona State University http://optimization.asu.edu/~xue 14May2008. Outline of the Lecture. Approximation for OMCP Approximation for DMCP Approximation for SMCP Conclusions.

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Lecture 03: More Approximations for QoS Routing

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  1. Lecture 03: More Approximations for QoS Routing Guoliang (Larry) Xue Department of CSE Arizona State University http://optimization.asu.edu/~xue 14May2008

  2. Outline of the Lecture • Approximation for OMCP • Approximation for DMCP • Approximation for SMCP • Conclusions

  3. Approximation Scheme for OMCP

  4. Approximation Scheme for OMCP

  5. Approximation Scheme for OMCP

  6. Approximation Scheme for OMCP

  7. Approximation Scheme for OMCP

  8. Approximation Scheme for OMCP

  9. Approximation Scheme for OMCP

  10. Approximation Scheme for OMCP

  11. Approximation Scheme for OMCP

  12. Approximation Scheme for OMCP

  13. Approximation Scheme for OMCP

  14. Approximation Scheme for OMCP

  15. Approximation Scheme for OMCP

  16. Approximation Scheme for OMCP

  17. Approximation Scheme for OMCP

  18. Approximation Scheme for OMCP

  19. Approximation Scheme for OMCP

  20. Approximation Scheme for OMCP

  21. Approximation Scheme for OMCP

  22. Outline of the Lecture • Approximation for OMCP • Approximation for DMCP • Approximation for SMCP • Conclusions

  23. Approximation Scheme for DMCP

  24. Approximation Scheme for DMCP

  25. Approximation Scheme for DMCP

  26. Approximation Scheme for DMCP

  27. Approximation Scheme for DMCP

  28. Approximation Scheme for DMCP

  29. Approximation Scheme for DMCP

  30. Outline of the Lecture • Approximation for SMCP • Approximation for DMCP • Approximation for SMCP • Conclusions

  31. Approximations for SMCP • Let us try to design good approximations to SMCP • Initial pair of LB and UB • Pseudo-polynomial time algorithm • Scaling, rounding, and approximate testing • FPTAS

  32. Outline of the Lecture • Approximation for SMCP • Approximation for DMCP • Approximation for SMCP • Conclusions

  33. Conclusions • We have used DCLC to produce a good approximation to OMCP • We have then designed an FPTAS for OMCP • The same approach can be used for SMCP

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