Abstract
We present a parallel genetic algorithm for the k way graph partitioning problem. The algorithm uses selection in local neighborhood and sophisticated genetic operators. For a sample problem the algorithm has found better solutions than those found by recent GPP algorithms. The success of the parallel genetic algorithm depends on the representation, a suitable crossover operator and an efficient local hill climbing method which is used to restrict the solution space.
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G.C. Everstine. A comparison of three resequencing algorithms for the reduction of matrix profile and wavefront. Int. J. Numer. Methods in Eng., Vol. 14, 837–853, 1979.
M. Gorges-Schleuter. ASPARAGOS: An Asynchronous Parallel Genetic Optimization Strategy. In 3rd Int. Conf. on Genetic Algorithms, San Mateo, Morgan Kaufmann, 89.
J. R. Gilbert and E. Zmijewski. A Parallel Graph Partitioning Algorithm for a Message-Passing Multiprocessor. Techn. Report 87-803, Cornell University, 87.
J. H. Holland. Adaptation in natural and artificial systems. Ann Arbor, University of Michigan Press, 75.
B. W. Kernighan and S. Lin. An Efficient Heuristic Procedure for Partitioning Graphs. Technical report, Bell Syst. Techn. J., February 70.
G. von Laszewski. Ein paralleler genetischer Algorithmus für das GPP. Master's thesis, Universität Bonn, 90.
G. von Laszewski. A parallel genetic algorithm for the graph partitioning problem. In Transputer Research and Aplications 4, Proc. of the 4th Conf. of the North-American Transputers Users Group, IOS Press, Ithaca, NY, 90.
D. Moore. A Round-Robin Parallel Partitioning Algorithm. Technical Report 88-916, Cornell University, Ithaca, NY, 1988.
H. Mühlenbein. Parallel Genetic Algorithm, Population Dynamics and Combinatorial Optimization. In 3rd Int. Conf. on Genetic Algorithms, San Mateo, Morgan Kaufmann, 89.
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© 1991 Springer-Verlag Berlin Heidelberg
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von Laszewski, G., Mühlenbein, H. (1991). Partitioning a graph with a parallel genetic algorithm. In: Schwefel, HP., Männer, R. (eds) Parallel Problem Solving from Nature. PPSN 1990. Lecture Notes in Computer Science, vol 496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0029748
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DOI: https://doi.org/10.1007/BFb0029748
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