A Reactive Local Search-Based Algorithm for the Multiple-Choice Multi-Dimensional Knapsack Problem
Computational Optimization and Applications
Solving the multidimensional multiple-choice knapsack problem by constructing convex hulls
Computers and Operations Research
Hard multidimensional multiple choice knapsack problems, an empirical study
Computers and Operations Research
A column generation method for the multiple-choice multi-dimensional knapsack problem
Computational Optimization and Applications
A New Heuristic for Solving the Multichoice Multidimensional Knapsack Problem
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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In this paper, a novel Multi-Population Genetic Algorithm (MPGA) is proposed to solve the Multiple-choice Multidimensional Knapsack Problem (MMKP), a kind of classical combinatorial optimization problems. The proposed MPGA has two evolutionary populations and one archive population, and can effectively balance the search biases between the feasible space and the infeasible space. The experiment results demonstrate that the proposed MPGA is better than the existing algorithms, especially when the strength of constraints is relatively strong.