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A Cross Entropy Algorithm for Maximum Clique Problem and on It’s Parallelization Study

Author: BaiZhanHua
Tutor: LvQiang
School: Suzhou University
Course: Applied Computer Technology
Keywords: Maximum Clique Problem Cross entropy algorithm Heuristic algorithm Parallel computing OpenMP MPI
CLC: TP301.6
Type: Master's thesis
Year: 2007
Downloads: 190
Quote: 1
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Abstract


The maximum clique problem is a classic combinatorial optimization problem , has important value in theoretical research and practical application , the latest research progress of the maximum clique problem Analysis Summary . Cross Entropy algorithm is the Rubinstein initiated a new problem-solving method , characteristics of the cross- entropy algorithm is used to generate a good mathematical framework for updating the learning strategies , the main idea is to use the Kullback-Leibler cross entropy , importance sampling well Boltzmann distribution , the optimal solution combinatorial optimization problem into a simple stochastic optimization problem solving auxiliary . In order to study a new problem-solving strategies , design and implementation of cross- entropy algorithm for solving the largest group to solve . Use of the fitness terrain analysis methods, the analysis of the actual operation of the algorithm , and pseudo-random mechanism with local disturbances improvement strategies based on the experimental results . Cross entropy algorithm simulation based on the large amount of data , in order to speed up the algorithm runs , the article also designed and implemented based on OpenMP and MPI parallel algorithms . Based on OpenMP parallel algorithm for shared memory platform . MPI-based parallel algorithms for distributed architecture design of a parallel strategy based on leadership behavior . Finally, of the 80 instances in DIMACS have done experiments, another 27 instances of the selected best algorithm to do the comparison , the experimental results show that the proposed algorithm for the problem instance applicable , applications and research value. The speedup of parallel algorithms and efficient experimental results show that this paper two parallel algorithms with good acceleration performance .

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CLC: > Industrial Technology > Automation technology,computer technology > Computing technology,computer technology > General issues > Theories, methods > Algorithm Theory
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