A study of the mean field approach to knapsack problems
Neural Networks
Neural Processing Letters
A new ant colony optimization algorithm for the multidimensional Knapsack problem
Computers and Operations Research
Meta-RaPS approach for the 0-1 Multidimensional Knapsack Problem
Computers and Industrial Engineering - Special issue: Selected papers from the 31st international conference on computers & industrial engineering
Genetic algorithm based on the orthogonal design for multidimensional knapsack problems
ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I
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Multidimensional Knapsack Problem (MKP), as a classic combinatorial optimization problem, is used widely in various fields such as capital budgeting, allocating processors and databases in a distributed computer system. In this paper, a chaotic neural network combined heuristic strategy (TCNN-HS) is proposed for MKP. The proposed algorithm combines heuristic strategy which includes repair operator and improvement operator so that not only the infeasible solution can be overcome, but also the quality of the solutions can be improved. The TCNN-HS is tested on some benchmark problems, which is selected from OR library. Simulation results show that the proposed approach can find optimal solutions for some instances and outperforms TCNN.