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Two Algorithms Based on 0-1 Knapsack Problem

Qian Li

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Abstract

The 0-1 knapsack problem is a classical problem in Computer Science, 0-1 knapsack problem is an optimization problem. Because of its simple structure, strong scalability, it can be used as sub problems of other problems. Therefore the research can solve more complex optimization problems. This paper summarizes the two kinds of algorithms to solve 0-1 knapsack problem,finally two algorithms are compared and analyzed.

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What this paper is about

The 0-1 knapsack problem is a classical problem in Computer Science, 0-1 knapsack problem is an optimization problem. Because of its simple structure, strong scalability, it can be used as sub problems of other problems. Therefore the research can solve more complex optimization problems. This paper summarizes the two kinds of algorithms to solve 0-1 knapsack problem,finally two algorithms are compared and analyzed.

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Available abstract

The 0-1 knapsack problem is a classical problem in Computer Science, 0-1 knapsack problem is an optimization problem. Because of its simple structure, strong scalability, it can be used as sub problems of other problems. Therefore the research can solve more complex optimization problems. This paper summarizes the two kinds of algorithms to solve 0-1 knapsack problem,finally two algorithms are compared and analyzed.

Key concepts: Knapsack problem, Continuous knapsack problem, Cutting stock problem, Scalability, Generalized assignment problem, Change-making problem, Polynomial-time approximation scheme, Optimization problem

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