A Summary of Genetic Algorithm on 0/1 Knapsack Problem
Le Tian
Abstract
Le Tian
Abstract
Knapsack problem is a combinatorial optimization problem,there are many types,such as multidimensional knapsack problem;0/1 knapsack problem discussed in this paper is the most primitive and the most basic knapsack problem.Genetic algorithm(GA) on the knapsack problem has been shown to great advantage.This paper analyzed the main problems of 0/1 knapsack problem using genetic algorithm,summarized and analyzed the related documents for the past six years,pointed out the future research directions,provided a reference for the genetic algorithm for solving 0/1 knapsack problem.
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Knapsack problem is a combinatorial optimization problem,there are many types,such as multidimensional knapsack problem;0/1 knapsack problem discussed in this paper is the most primitive and the most basic knapsack problem.Genetic algorithm(GA) on the knapsack problem has been shown to great advantage.This paper analyzed the main problems of 0/1 knapsack problem using genetic algorithm,summarized and analyzed the related documents for the past six years,pointed out the future research directions,provided a reference for the genetic algorithm for solving 0/1 knapsack problem.
Key concepts: Knapsack problem, Continuous knapsack problem, Change-making problem, Polynomial-time approximation scheme, Cutting stock problem, Genetic algorithm, Generalized assignment problem, Mathematics