An Implementation of an Initial Scale in Solving Binary Knapsack Problem Using a Genetic Algorithm

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An Efficient Algorithm for Reducing the Duality Gap in a Special Class of the Knapsack Problem

A special class of the knapsack problem is called the separable nonlinear knapsack problem. This problem has received considerable attention recently because of its numerous applications. Dynamic programming is one of the basic approaches for solving this problem. Unfortunately, the size of state-pace will dramatically increase and cause the dimensionality problem. In this paper, an efficient a...

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An Efficient Algorithm for Reducing the Duality Gap in a Special Class of the Knapsack Problem

A special class of the knapsack problem is called the separable nonlinear knapsack problem. This problem has received considerable attention recently because of its numerous applications. Dynamic programming is one of the basic approaches for solving this problem. Unfortunately, the size of state-pace will dramatically increase and cause the dimensionality problem. In this paper, an efficient a...

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Solving Unbounded Knapsack Problem Using an Adaptive Genetic Algorithm with Elitism Strategy

With the popularity of sensor networks, solving the knapsack problem has become important in selecting the best combination of sensor nodes. Many methods have been proposed to solve the Knapsack problem, but few of them have used the genetic algorithm, especially in unbounded Knapsack problems. In this paper, we use the genetic algorithm to solve the unbounded Knapsack problem. We combine an el...

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An Estimation of Distribution Algorithm for solving the Knapsack problem

The knapsack problem, a NP-hard problem, has been solved by different ways during many years. However, its combinatorial nature is still interesting for many academics. In this paper, an Estimation of Distribution Algorithm is applied for solving the Knapsack problem. KEDA for simplicity is called. It contains a probabilistic model of type chain for sampling new offsprings to solve the problem....

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ژورنال

عنوان ژورنال: AL-Rafidain Journal of Computer Sciences and Mathematics

سال: 2007

ISSN: 2311-7990

DOI: 10.33899/csmj.2007.164015