1. Chapter 7 Linear Programming
(3) Pipage Rounding
Ding-Zhu Du

2. Pipage Rounding
example

3. Maximum Coverage

4. ILP Formulation

5. Alternative Formulation 1

6. Alternative Formulation 2

7. Relationship
Proof.

8. Relationship
Proof.

9. 1

10. Relaxation

11. Pipage Rounding

12. Property

13. Theorem
Proof

14. Pipage Rounding
framework

15. Integer Programming

16. Relaxation By ɛ-convexity, obtain an integer solution from , by
pipage rounding, such
that
Solve easily to obtain
Optimal solution

17. Pipage Rounding

18. R

20. ɛ-convexity

21. Pipage Rounding
Applications

24. 1
nodes
nodes

27. Theorem

28. Thanks, End