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TSP基于参考点的相邻插入法和两阶段方法 被引量:3

Reference point based near insertion approach and two-stage approach for TSP
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摘要 通过分析已有的最近插入法,提出了一种基于参考点的相邻插入法(RPBNI)及其改进策略(I-RPBNI),用于求解旅行商问题(TSP),时间性能分别为O(n2)和O(n3);进而提出了结合模拟退火算法和I-RPBNI的两阶段方法.通过典型算例的数值仿真,验证了所提出算法的有效性、高效性和鲁棒性. By analyzing the existing nearest insertion method, a kind of reference point based near insertion approach (RPBNI) and its improvement version (I-RPBNI) with O(n2) and O(n3) polynomial time performances are proposed respectively to solve traveling salesman problem (TSP). An effective two-stage approach combining simulated annealing with I-RPBNI is proposed. Numerical simulations based on typical benchmarks demonstrate the effectiveness, efficiency and robustness of the proposed approach.
出处 《控制与决策》 EI CSCD 北大核心 2004年第7期831-833,837,共4页 Control and Decision
基金 国家自然科学基金资助项目(60204008 60374060) 国家973计划项目(2002CB312200).
关键词 旅行商问题 参考点 相邻插入法 模拟退火 Computer simulation Robustness (control systems) Simulated annealing
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参考文献3

  • 1[2]Fang Y D, Hao J Z, Yu Y L, et al. Genetic algorithms and its application to TSP[J]. J of South China University of Technology, 1994, 22(3): 23-127.
  • 2[4]Pan L D, Huang X F. A heuristic greedy method for the traveling salesman problem[J]. J of Beijing University of Chemical Technology, 1998, 25(2): 46-50.
  • 3[5]Fogel D B. Applying evolutionary programming to selected traveling salesman problems[J]. Cybernetics and Systems, 1993, 24(1): 27-36.

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