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Upper and lower bounds for the complexity of the branch and bound method for the knapsack problem
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R. M. Kolpakov
Published/Copyright:
March 18, 2010
Abstract
This paper is devoted to questions concerning the complexity of solution of the problem on one-dimensional Boolean knapsack by the branch and bound method. For this complexity we obtain two upper bounds. We separate the special case of the knapsack problem where the complexity is polynomially bounded by the dimension of the problem. We also obtain an upper and lower bounds for the complexity of solution by the branch and bound method of the subset sum problem which is a special case of the knapsack problem.
Received: 2009-04-01
Published Online: 2010-03-18
Published in Print: 2010-March
© de Gruyter 2010
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Articles in the same Issue
- On approximation of continuous functions by determinate functions with delay
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- On the linear complexity of binary sequences on the basis of biquadratic and sextic residue classes
- On bounds for complexity of circuits of multi-input functional elements
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