Parallelizing simulated annealing algorithms based on high-performance computer

  • Authors:

  • Ding-Jun Chen;Chung-Yeol Lee;Cheol-Hoon Park;Pedro Mendes

  • Affiliations:

  • Department of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology, Daejeon, Republic of Korea 305-701;Department of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology, Daejeon, Republic of Korea 305-701;Department of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology, Daejeon, Republic of Korea 305-701;Virginia Bioinformatics Institute, Virginia Tech, Blacksburg, USA 24060

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2007

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Abstract

We implemented five conversions of simulated annealing (SA) algorithm from sequential-to-parallel forms on high-performance computers and applied them to a set of standard function optimization problems in order to test their performances. According to the experimental results, we eventually found that the traditional approach to parallelizing simulated annealing, namely, parallelizing moves in sequential SA, difficultly handled very difficult problem instances. Divide-and-conquer decomposition strategy used in a search space sometimes might find the global optimum function value, but it frequently resulted in great time cost if the random search space was considerably expanded. The most effective way we found in identifying the global optimum solution is to introduce genetic algorithm (GA) and build a highly hybrid GA+SA algorithm. In this approach, GA has been applied to each cooling temperature stage. Additionally, the performance analyses of the best algorithm among the five implemented algorithms have been done on the IBM Beowulf PCs Cluster and some comparisons have been made with some recent global optimization algorithms in terms of the number of functional evaluations needed to obtain a global minimum, success rate and solution quality.