Constructing Constrained-Version of Magic Squares Using Selection Hyper-heuristics

نویسندگان

  • Ahmed Kheiri
  • Ender Özcan
چکیده

A square matrix of distinct numbers in which every row, column and both diagonals has the same total is referred to as a magic square. Constructing a magic square of a given order is considered as a difficult computational problem, particularly when additional constraints are imposed. Hyper-heuristics are emerging high level search methodologies that explore the space of heuristics for solving a given problem. In this study, we present a range of effective selection hyper-heuristics mixing perturbative low level heuristics for constructing the constrained version of magic squares. The results show that selection hyperheuristics, even the non-learning ones deliver an outstanding performance, beating the best known heuristic solution on average.

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تاریخ انتشار 2013