Abstract
Metaheuristics in general and ant-based systems in particular have shown remarkable success in solving combinatorial optimization problems. However, a few problems exist for which the best performing heuristic algorithm is not a metaheuristic. These few are often characterized by a very highly constrained search space. This is a situation in which it is not possible to de.ne any e.cient neighborhood, thus no local search is available. The paradigmatic case is the set partitioning problem, a problem for which standard Integer Programming solvers outperform metaheuristics. This paper presents an extended ant framework improving the e.ectiveness of ant-based systems to such problems. Computational results are presented both on standard set partitioning problem instances and on vertical fragmentation problem instances. This last is a real world problem arising in data warehouse logical design.
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References
A. Atamtürk, G.L. Nemhauser, and M.W.P. Savelsbergh. A combined lagrangian, linear programming and implication heuristic for large-scale set partitioning problems. Journal of Heuristics, 1:247–259, 1995.
P.C. Chu and J.E. Beasley. Constraint handling in genetic algorithms: the set partitoning problem. Journal of Heuristics, 4:323–357, 1998.
M. Golfarelli, V. Maniezzo, and S. Rizzi. Materialization of Fragmented Views in Multidimensional Databases. Technical Report TR-001-02, Scienze dell’Informazione, University of Bologna, 2002.
V. Maniezzo. Exact and approximate nondeterministic tree-search procedures for the quadratic assignment problem. INFORMS Journal on Computing, 11(4):358–369, 1999.
V. Maniezzo, A. Carbonaro, M. Golfarelli, and S. Rizzi. An ANTS Algorithm for Optimizing the Materialization of Fragmented Views in Data Warehouses: Preliminary Results. In Applications of Evolutionary Computing, volume 2037 of Lecture Notes in Computer Science, pages 80–89. Springer Verlag, 2001.
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Maniezzo, V., Milandri, M. (2002). An Ant-Based Framework for Very Strongly Constrained Problems. In: Dorigo, M., Di Caro, G., Sampels, M. (eds) Ant Algorithms. ANTS 2002. Lecture Notes in Computer Science, vol 2463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45724-0_19
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DOI: https://doi.org/10.1007/3-540-45724-0_19
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