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A smoothing method for solving quadratic convex separable knapsack problems

delete2026-02-01
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PRE
AI
A
Alves, A.
A
Amaral, V. S. *
S
Silva, J. O. L.
S
Santos, P. S. M.
S
Souza, S. S.
DOI:10.1080/10556788.2025.2611436delete
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Abstract

Abstract

En 中文
In this paper, we propose a gradient-type method for solving a quadratic separable knapsack problem, which is simpler than the existing methods and competitive in practice. The algorithm uses a smooth approximation of the dual function of the knapsack problem. Partial convergence and complexity results of the algorithm are presented. Moreover, to demonstrate its efficiency, illustrative computational results are reported.
Keywords:
Separable Knapsack problem
root-finding algorithm
quadratic problem
smooth approximations

Journal

O
OPTIMIZATION METHODS & SOFTWARE
IF:
1.4
Papers:
31
Citations:
0

Organization

U
universidade federal do piaui
Scholars:
3.6K
Papers: 2.0K
Citations: 0