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New polynomial bounds for matroidal knapsacks

✍ Scribed by Lígia Amado; Paulo Barcia


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
536 KB
Volume
95
Category
Article
ISSN
0377-2217

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Bounds on the size of branch-and-bound p
✍ Bala Krishnamoorthy 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 172 KB

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.