A Hybrid Genetic Search for Graph Partitioning Based on Lock Gain

A new hybrid genetic algorithm for graph bisection is proposed. The algorithm includes a new local optimization heuristic. Based on the traditional framework of the Kernighan-Lin algorithm, the local optimization uses a new type of gain as the primary measure for vertex movement. The new algorithm showed significant or dramatic improvement over the state-of-the-art algorithms.

[1]  Shantanu Dutt,et al.  A probability-based approach to VLSI circuit partitioning , 1996, DAC '96.

[2]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[3]  Charles M. Fiduccia,et al.  A linear-time heuristic for improving network partitions , 1988, 25 years of DAC.

[4]  Andrew B. Kahng,et al.  Improved Large-Step Markov Chain Variants for the Symmetric TSP , 1997, J. Heuristics.

[5]  Dana S. Richards,et al.  A Multi-Population Genetic Algorithm for Solving the K-Partition Problem on Hyper-Cubes , 1991, ICGA.

[6]  Fred W. Glover,et al.  Tabu Search - Part I , 1989, INFORMS J. Comput..

[7]  Jean-Michel Renders,et al.  Hybridizing genetic algorithms with hill-climbing methods for global optimization: two possible ways , 1994, Proceedings of the First IEEE Conference on Evolutionary Computation. IEEE World Congress on Computational Intelligence.

[8]  Kishan G. Mehrotra,et al.  Genetic algorithms for graph partitioning and incremental graph partitioning , 1994, Proceedings of Supercomputing '94.

[9]  L. Darrell Whitley,et al.  Lamarckian Evolution, The Baldwin Effect and Function Optimization , 1994, PPSN.

[10]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[11]  Edward W. Felten,et al.  Large-Step Markov Chains for the Traveling Salesman Problem , 1991, Complex Syst..

[12]  Youssef Saab,et al.  Stochastic evolution: a fast effective heuristic for some generic layout problems , 1991, DAC '90.

[13]  Brian W. Kernighan,et al.  An efficient heuristic procedure for partitioning graphs , 1970, Bell Syst. Tech. J..

[14]  Roberto Battiti,et al.  Greedy, Prohibition, and Reactive Heuristics for Graph Partitioning , 1999, IEEE Trans. Computers.

[15]  Curt Jones.  Vertex and edge partitions of graphs , 1992 .

[16]  A. G. Steenbeek,et al.  Finding balanced graph bi-partitions using a hybrid genetic algorithm , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[17]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[18]  Curt Jones,et al.  Finding Good Approximate Vertex and Edge Partitions is NP-Hard , 1992, Inf. Process. Lett..

[19]  Bernd Freisleben,et al.  Memetic Algorithms and the Fitness Landscape of the Graph Bi-Partitioning Problem , 1998, PPSN.

[20]  Cecilia R. Aragon,et al.  Optimization by Simulated Annealing: An Experimental Evaluation; Part I, Graph Partitioning , 1989, Oper. Res..

[21]  Gregor von Laszewski,et al.  Intelligent Structural Operators for the k-way Graph Partitioning Problem , 1991, ICGA.

[22]  Balakrishnan Krishnamurthy,et al.  An Improved Min-Cut Algonthm for Partitioning VLSI Networks , 1984, IEEE Transactions on Computers.

[23]  Byung Ro Moon,et al.  Genetic Algorithm and Graph Partitioning , 1996, IEEE Trans. Computers.

[24]  Fred Glover,et al.  Tabu Search - Part II , 1989, INFORMS J. Comput..

[25]  David R. Jefferson,et al.  Selection in Massively Parallel Genetic Algorithms , 1991, ICGA.

[26]  R. M. Mattheyses,et al.  A Linear-Time Heuristic for Improving Network Partitions , 1982, 19th Design Automation Conference.

[27]  David E. Goldberg,et al.  Decision making in a hybrid genetic algorithm , 1997, Proceedings of 1997 IEEE International Conference on Evolutionary Computation (ICEC '97).

[28]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[29]  Darrell Whitley,et al.  Genitor: a different genetic algorithm , 1988 .