An Efficient Heuristic Algorithm for Solving 0-1 Knapsack Problem

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چکیده

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15 صفحه اول

A Heuristic for the Multidimensional 0-1 Knapsack Problem

This paper deals with the concepts of core and core problems for multidimensional 0-1 knapsack (MKP) problems. Core problems were introduced by Balas and Zemel (1980) and have been widely studied in the literature. The core refers to the seet of variables for which it is hard to decide what their value will be in an optimal solution; and the core problem is a reduction of the original problem i...

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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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Alienor Method for Solving the 0-1 Quadratic Knapsack Problem

The quadratic knapsack problem (QKP) is the problem of maximizing a quadratic objective function subject to a single knapsack constraint. It is a well-known NP-hard combinatorial problem. In this paper, we examine the use of Alienor method for solving QKP. Alienor method is a new global optimization algorithm based on a simple idea consisting in approximating an n variables function by a single...

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ژورنال

عنوان ژورنال: Journal of Physics: Conference Series

سال: 2021

ISSN: 1742-6588,1742-6596

DOI: 10.1088/1742-6596/1865/4/042009