scholarly journals A cut-and-branch algorithm for the Quadratic Knapsack Problem

2020 ◽  
pp. 100579 ◽  
Author(s):  
Franklin Djeumou Fomeni ◽  
Konstantinos Kaparis ◽  
Adam N. Letchford
1992 ◽  
Vol 55 (1-3) ◽  
pp. 99-108 ◽  
Author(s):  
A. G. Robinson ◽  
N. Jiang ◽  
C. S. Lerme

2020 ◽  
Vol 92 (1) ◽  
pp. 107-132 ◽  
Author(s):  
Britta Schulze ◽  
Michael Stiglmayr ◽  
Luís Paquete ◽  
Carlos M. Fonseca ◽  
David Willems ◽  
...  

Abstract In this article, we introduce the rectangular knapsack problem as a special case of the quadratic knapsack problem consisting in the maximization of the product of two separate knapsack profits subject to a cardinality constraint. We propose a polynomial time algorithm for this problem that provides a constant approximation ratio of 4.5. Our experimental results on a large number of artificially generated problem instances show that the average ratio is far from theoretical guarantee. In addition, we suggest refined versions of this approximation algorithm with the same time complexity and approximation ratio that lead to even better experimental results.


2004 ◽  
pp. 349-388 ◽  
Author(s):  
Hans Kellerer ◽  
Ulrich Pferschy ◽  
David Pisinger

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