Alienor Method for Solving the 0-1 Quadratic Knapsack Problem

نویسندگان

  • Dalomi Bahan
  • Blaise Somé
  • Dominique Quadri
  • Philippe Michelon
  • Serigne Gueye
چکیده

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 variable function by using α dense curves. These curves have the property to “fill the space”. The results show that the performance of the Alienor method is confirmed for problems with fewer than 80 variables.

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تاریخ انتشار 2013