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

Pipage Rounding example

Maximum Coverage

ILP Formulation

Alternative Formulation 1

Alternative Formulation 2

Relationship Proof.

Relationship Proof.

1

Relaxation

Pipage Rounding

Property

Theorem Proof

Pipage Rounding framework

Integer Programming

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

Pipage Rounding

R

ɛ-convexity

Pipage Rounding Applications

1 nodes nodes

Theorem

Thanks, End