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计算机工程 ›› 2012, Vol. 38 ›› Issue (01): 140-142. doi: 10.3969/j.issn.1000-3428.2012.01.043

• 人工智能及识别技术 • 上一篇    下一篇

求解0-1二次规划问题的迭代禁忌搜索算法

张爱君,秦新强,龚春琼   

  1. (西安理工大学应用数学系,西安 710048)
  • 收稿日期:2011-06-20 出版日期:2012-01-05 发布日期:2012-01-05
  • 作者简介:张爱君(1979-),女,讲师、硕士,主研方向:人工智能,应用数学;秦新强,教授、博士;龚春琼,讲师、硕士
  • 基金资助:
    国家自然科学基金资助项目(50879069)

Iterated Tabu Search Algorithm for Solving 0-1 Binary Quadratic Programming Problem

ZHANG Ai-jun, QIN Xin-qiang, GONG Chun-qiong   

  1. (Department of Applied Mathematics, Xi’an University of Technology, Xi’an 710048, China)
  • Received:2011-06-20 Online:2012-01-05 Published:2012-01-05

摘要: 提出迭代禁忌算法求解0-1二次规划问题。在局部搜索过程中,使用禁忌搜索贪心跳坑策略,能够使算法有效跳出局部最优值的陷阱。采用国际上公认的30个算例作为算法测试实验集,与传统的禁忌搜索、模拟退火算法以及混合算法进行比较。实验结果表明,该算法在所有算例上都能够得到文献中报告的最优解,且计算效率明显优于其他算法。

关键词: 启发式算法, 0-1二次规划, 局部搜索, 禁忌搜索, 跳坑策略

Abstract: This paper presents an iterated Tabu Search(TS) algorithm for the Binary Quadratic Programming(BQP) problem. The TS as the Local Search(LS) and a new perturbation strategy makes the search jump into a more promising area when TS falling into the local optimum. Experimental results show that the proposed algorithm can reach the best known solution on all the 30 large OR-library instances and comparisons with TS. Simulated Annealing(SA) and Memetic Algorithm(MA) demonstrate the competitiveness of the proposed algorithm.

Key words: Heuristics Algorithm(HA), 0-1 Binary Quadratic Programming(BQP), Local Search(LS), Tabu Search(TS), perturbation strategy

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