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基于预知信息的占线Nomadic TSP问题 被引量:13

Online nomadic TSP based on advanced information
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摘要 自然灾害的频繁发生使得应急减灾倍受关注,尤其有效的应急救援车辆调度对应急减灾非常重要.针对受灾点被提前获知但是不能立即接受救援服务的情形,通过将受灾点(需求)的揭露时间和释放时间引入Nomadic TSP模型中构建了预知信息的占线Nomadic TSP问题,并分别给出了问题的下界,直线网络结构下的ENO-dd算法,和一般网络结构下的GTR-dd算法,并对算法进行了竞争性能分析.结果表明两个算法随着预知信息的增多会有明显改进.更为一般的预知信息结构以及最优的算法设计是下一步研究的方向. The frequent occurrence of natural disasters has drawn people's attention to the aftermath work, especially the effective routing of emergency vehicles carrying relief efforts. Based on the situation where some disaster hit areas can be informed in advance while could not accept emergency service, this paper introduces the disclosure date and release date to nomadic TSP model, studies an online nomadic TSP problem based on advanced information, and gives a lower bound. When the metric space is the real line, an ENO-dd algorithm is presented. For general metric spaces, a GTR-dd algorithm is presented. Competitive analysis is given for these two algorithms respectively. The results indicate that the more advanced information, the better these two algorithms perform. More general information structure and optimal algorithm design can be the future research
出处 《系统工程理论与实践》 EI CSSCI CSCD 北大核心 2013年第11期2845-2851,共7页 Systems Engineering-Theory & Practice
基金 国家自然科学基金(71071123 60921003 71001057 71371111) 长江学者和创新团队发展计划(IRT1173) 山东省博士基金(2010BSE06034)
关键词 旅行商问题 预知信息 占线路径选择 竞争分析 traveling salesman problem advanced information online vehicle routing problems competitive analysis
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参考文献11

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同被引文献85

  • 1杨双鹏,郭秀萍,高娇娇.无接触式“卡车+无人机”联合配送问题研究[J].工业工程与管理,2022,27(1):184-194. 被引量:15
  • 2吴薇薇,宁宣熙.基于改善紧急疏散网络流通能力的仿真研究[J].中国管理科学,2006,14(3):86-91. 被引量:11
  • 3Frieze M,Galbiati G,Maffioli F.On the worst-case performance of some algorithms for the asymmetric traveling salesman problem[J].Networks,1982,12(1): 23-39.
  • 4Bl?ser M.A new approximation algorithm for the asymmetric TSP with triangle inequality[C]// Proceedings of the 14th annual ACM-SIAM symposium on discrete algorithms.PA,USA: Society for Industrial and Applied Mathematics Philadelphia,2003: 638-645.
  • 5Kaplan H,Lewenstein M,Shafrir N,et al.Approximation algorithms for asymmetric TSP by decomposing directed regular multigraphs[C]// Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science.Washington,DC,USA: IEEE Computer Society,2003: 56.
  • 6Ausiello G,Feuerstein E,Leonardi S,et al.Algorithms for the on-line travelling salesman[J].Algorithmica,2001,29(4): 560-581.
  • 7Lipmann M.The online traveling salesman problem on the line[D].Amsterdam,Netherlands: University of Amsterdam,1999.
  • 8Blom M,Krumke S O,De-Paepe W E,et al.The online-TSP against fair adversaries[J].Informs Journal on Computing,2001,13(2): 138-148.
  • 9Jaillet P,Wagner M.Generalized online routing: New competitive ratios,resource augmentation and asymptotic analyses[J].Operations Research,2008,56(3): 745-757.
  • 10Jaillet P,Wagner M.Online routing problems: Value of advanced information as improved competitive ratios[J].Transportation Science,2006,40(2): 200-210.

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