On the exact separation of mixed integer knapsack cuts
β Scribed by Ricardo Fukasawa; Marcos Goycoolea
- Publisher
- Springer-Verlag
- Year
- 2009
- Tongue
- English
- Weight
- 300 KB
- Volume
- 128
- Category
- Article
- ISSN
- 0025-5610
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Some time ago, the concept of integer-detecting sequences of exact height ! was introduced. So far all the occurring exact heights were rational numbers, in fact even unit fractions. Otherwise it was known that 0<! 1Γ3. We show that every positive real number not exceeding 1Γ3 is the exact height of
Using a direct counting argument, we derive lower and upper bounds for the number of nodes enumerated by linear programming-based branch-and-bound (B&B) method to prove the integer infeasibility of a knapsack. We prove by example that the size of the B&B tree could be exponential in the worst case.