Probabilistic analysis of knapsack core algorithms
@inproceedings{Beier2004ProbabilisticAO, title={Probabilistic analysis of knapsack core algorithms}, author={R. Beier and Berthold V{\"o}cking}, booktitle={SODA '04}, year={2004} }
We study the average-case performance of algorithms for the binary knapsack problem. Our focus lies on the analysis of so-called core algorithms, the predominant algorithmic concept used in practice. These algorithms start with the computation of an optimal fractional solution that has only one fractional item and then they exchange items until an optimal integral solution is found. The idea is that in many cases the optimal integral solution should be close to the fractional one such that only… Expand
22 Citations
Branch-and-Bound Solves Random Binary Packing IPs in Polytime
- Mathematics, Computer Science
- ArXiv
- 2020
- 2
- PDF
On Local Search for Bi-objective Knapsack Problems
- Mathematics, Medicine
- Evolutionary Computation
- 2013
- 14
- Highly Influenced
Development of core to solve the multidimensional multiple-choice knapsack problem
- Mathematics, Computer Science
- Comput. Ind. Eng.
- 2011
- 27
- PDF
Typical properties of winners and losers in discrete optimization
- Computer Science, Mathematics
- STOC '04
- 2004
- 72
- PDF
References
SHOWING 1-6 OF 6 REFERENCES
An Algorithm for Large Zero-One Knapsack Problems
- Mathematics, Computer Science
- Oper. Res.
- 1980
- 456
- Highly Influential
On the Average Difference between the Solutions to Linear and Integer Knapsack Problems
- Mathematics
- 1982
- 33
- Highly Influential
New trends in exact algorithms for the 0-1 knapsack problem
- Mathematics, Computer Science
- Eur. J. Oper. Res.
- 2000
- 297
- Highly Influential
- PDF
On finding the exact solution of a zero-one knapsack problem
- Mathematics, Computer Science
- STOC '84
- 1984
- 46
- Highly Influential
V̈ocking. Random Knapsack in Expected Polynomial Time.Proceedings of the 35th
- ACM Symposium on Theory of Computing
- 2003