Modified Particle Swarm Optimization for 0-1 Knapsack Problems
Yuanxiang Li
Abstract
Yuanxiang Li
Abstract
The algorithm and the search strategies of particle swarm optimization are introduced, on base of which concepts such as equivalent transformation, the difference value transformation and the transform serial sequence are defined according to characteristics of 0-1 knapsack problem, then a kind of special particle swarm optimization that is applicable to solve 0-1 knapsack problem is designed. The experimental results show the possibility and the efficiency of the modified particle swarm optimization on solving 0-1 knapsack problem.
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The algorithm and the search strategies of particle swarm optimization are introduced, on base of which concepts such as equivalent transformation, the difference value transformation and the transform serial sequence are defined according to characteristics of 0-1 knapsack problem, then a kind of special particle swarm optimization that is applicable to solve 0-1 knapsack problem is designed. The experimental results show the possibility and the efficiency of the modified particle swarm optimization on solving 0-1 knapsack problem.
Key concepts: Knapsack problem, Particle swarm optimization, Continuous knapsack problem, Multi-swarm optimization, Mathematical optimization, Metaheuristic, Computer science, Transformation (genetics)