On the continuous quadratic knapsack problem

On the continuous quadratic knapsack problem

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Article ID: iaor1993794
Country: Netherlands
Volume: 55
Issue: 1
Start Page Number: 99
End Page Number: 108
Publication Date: Apr 1992
Journal: Mathematical Programming (Series A)
Authors: , ,
Keywords: knapsack problem
Abstract:

The authors introduce a new algorithm for the continuous bounded quadratic knapsack problem. This algorithm is motivated by the geometry of the problem, is based on the iterative solution of a series of simple projection problems, and is easy to understand and implement. In practice, the method compares favorable to other well-known algorithms (some of which have superior worst-case complexity) on problem sizes up to n=4000.

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