A simplified binary artificial fish swarm algorithm for 0-1 quadratic knapsack problems

  • Authors:
  • Md. Abul Kalam Azad;Ana Maria A. C. Rocha;Edite M. G. P. Fernandes

  • Affiliations:
  • -;-;-

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2014

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Abstract

This paper proposes a simplified binary version of the artificial fish swarm algorithm (S-bAFSA) for solving 0-1 quadratic knapsack problems. This is a combinatorial optimization problem, which arises in many fields of optimization. In S-bAFSA, trial points are created by using crossover and mutation. In order to make the points feasible, a random heuristic drop_item procedure is used. The heuristic add_item is also implemented to improve the quality of the solutions, and a cyclic reinitialization of the population is carried out to avoid convergence to non-optimal solutions. To enhance the accuracy of the solution, a swap move heuristic search is applied on a predefined number of points. The method is tested on a set of benchmark 0-1 knapsack problems.