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Constructing constrained-version of magic squares using selection hyper-heuristics.
| Content Provider | CiteSeerX |
|---|---|
| Author | Kheiri, Ahmed Özcan, Ender |
| Abstract | 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 hyper-heuristics, even the non-learning ones deliver an outstanding performance, beating the best known heuristic solution on average. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Magic Square Magic Square Using Selection Hyper-heuristics Distinct Number Square Matrix Non-learning One High Level Search Methodology Effective Selection Hyper-heuristics Additional Constraint Perturbative Low Level Heuristic Constrained Version Selection Hyper-heuristics Outstanding Performance Difficult Computational Problem Heuristic Solution |
| Content Type | Text |