异质边多重图网络模型研究
|
摘要
在物流网络中,为实现物流节点之间的异质边的统一性度量,运用可拓学中的基元理论构建了一种基于物元特征的异质边多重完全图网络模型,该网络模型适用于物流中心和物流配送中心共同具有的功能,其功能有运输功能、储存功能、包装功能、流通加工功能、信息处理功能,功能特征之间是异质,每一个功能特征决定了两物流节点间相连接的一条边。在每个功能特征建立一个关联函数,关联函数值作为边权,实现了物流网络的统一性度量,同时也为物流网络优化提供便利。
In a logistics network,in order to achieve unity of the logistics node between heterogeneous edge measurements,we use the primitive Extenics theory to build a type of heterogeneity and multiple complete graph network models based on matter-element characteristics. This network model is suitable for the common functions of the logistics center and the logistics distribution center. Its functions include transportation,storage,packaging,circulation processing, and information processing. There is heterogeneity among the characteristics of these functions. The characteristics of every function exhibit one connected edge between two logistics nodes. We established a connection function for each function characteristic and the function value was used as the right edge.This achieved unity in the logistics network measurements and is appropriate for logistics network optimization.
In a logistics network,in order to achieve unity of the logistics node between heterogeneous edge measurements,we use the primitive Extenics theory to build a type of heterogeneity and multiple complete graph network models based on matter-element characteristics. This network model is suitable for the common functions of the logistics center and the logistics distribution center. Its functions include transportation,storage,packaging,circulation processing, and information processing. There is heterogeneity among the characteristics of these functions. The characteristics of every function exhibit one connected edge between two logistics nodes. We established a connection function for each function characteristic and the function value was used as the right edge.This achieved unity in the logistics network measurements and is appropriate for logistics network optimization.
引文
[1]WANG Z,SOLNOKI A.Self-organization towards optimally interdependent networks by means of coevolution[J].New journal of physics,2016,16:33-41.
[2]WANG N N,MI Y Y,LIU W,et al.Logistics network model based on matter element node[J].Procedia compute science,2016,91:351-356.
[3]王娜娜,高红,李珊珊,等.基于异质超边的超图[J].广东工业大学学报,2017,34(1):6-10.WANG Nana,GAO Hang,LI Shanshan,et al.A research on hypergraph of heterogeneous edge[J].Journal of guangdong university of technology,2017,34(1):6-10.
[4]马啸来.基于多重图的物流链选择决策模型及算法研究[J].铁道运输与经济,2012,34(1):56-61.MA Xiaolai.Study on decision-making model and calculation method of logistics chain selection based on multigraph[J].Railway transport and economy,2012,34(1):56-61.
[5]高洋,李丽香,彭海朋,等.多重边复杂网络系统的稳定性分析[J].物理学报,2008,57(3):1444-1452.GAO Yang,LI Lixiang,PENG Haipeng,et al.Adaptive Synchronization in united complex dynamical network with multi-links[J].Acta physica sinica,2008,57(3):144-1452.
[6]安新磊,李引珍,马昌喜.一种新的多重边复杂公交网络模型[J].交通运输系统工程与信息,2014,14(3):154-161.AN Xinlei,LI Yinzhen,MA Changxi.Public traffic network modeling withmulti-links[J].Journal of transportation systems engineering and information technology,2014,14(3):154-161.
[7]NIUSVEL A M,ANDRES G A.A new algorithm for approximate pattern mining in multigraphs collections[J].Knowledge based systems,2016(109):198-207.
[8]SUIL.Edge-connectivity in regular multigraphs from eigenvalues[J].Linear algebra and its applications,2016,491(15):4-14.
[9]HAXELLA P E,KIESTEAD H A.Edge coloring multi-gra phs without small dense subsets[J].Original researc article,2015,338(12):2502-2506.
[10]XUN Y,WANG M.Robust visual tracking via multi-graph ranking[J].Neurocomputing,2015,159:35-43.
[11]CHAKARESKI J.Vertex selection via a multi-graph analysis[J].Original research article,2014,102:139-150.
[12]JIANG J,LI W.The effect of interdependence on the percolation of interdependent network[J].Physica:a statistical mechanics and its applications,2014,41:573-581.
[13]STIPPINGER M.Enhancing resilience of interdependent networks by healing[J].Physica:a statistical mechanics and its applications,2014,416:481-487.
[14]蔡文,杨春燕,何斌.可拓学的基础理论与方法体系[J].科学通报,2013,58(13):1190-1199.CAI Wen,YANG Chunyan,HE Bin.Basic theory and methodology on extenics[J].Chinese science bulletin,2013,58(13):1190-1199.
[15]蔡文.可拓集合和不相容问题[J].科学探索学报,1983(1):83-97.CAI Wen.Extension set and non-compatible problems[J].Journal of scientific exploration,1983(1):83-97.
[16]LI Q X,LIU S F.The general elementary dependent function based on the side distance[C]//Proceedings of the 7 th World Congresson Intelligence Control and Automation.Piscataway,2008:1325-1328.
[17]LI Q X.The interval elementary dependent function based on interval side-distance[C]//Proceedings of IEEE 2008ISECS International Colloquium on Computing,Communication,Control,and Management.Piscataway,2008:674-678.
[18]蔡文.物元模型及其应用[M].北京:科学技术文献出版社,1994.
[19]李志明,杨春燕.三个区域套下二维初等关联函数的构造方法[J].辽宁工程技术大学学报,2015,2:267-272.LI Zhiming,YANG Chunyan.Construction method of twodimensional elementary dependent function in three nested regions[J].Journal of liaoning technical university,2015,2:267-272.
[20]YANG Chunyan,CAI Wen.Extenics:theory method and application[M].Beijing:Science Press,2013.
[2]WANG N N,MI Y Y,LIU W,et al.Logistics network model based on matter element node[J].Procedia compute science,2016,91:351-356.
[3]王娜娜,高红,李珊珊,等.基于异质超边的超图[J].广东工业大学学报,2017,34(1):6-10.WANG Nana,GAO Hang,LI Shanshan,et al.A research on hypergraph of heterogeneous edge[J].Journal of guangdong university of technology,2017,34(1):6-10.
[4]马啸来.基于多重图的物流链选择决策模型及算法研究[J].铁道运输与经济,2012,34(1):56-61.MA Xiaolai.Study on decision-making model and calculation method of logistics chain selection based on multigraph[J].Railway transport and economy,2012,34(1):56-61.
[5]高洋,李丽香,彭海朋,等.多重边复杂网络系统的稳定性分析[J].物理学报,2008,57(3):1444-1452.GAO Yang,LI Lixiang,PENG Haipeng,et al.Adaptive Synchronization in united complex dynamical network with multi-links[J].Acta physica sinica,2008,57(3):144-1452.
[6]安新磊,李引珍,马昌喜.一种新的多重边复杂公交网络模型[J].交通运输系统工程与信息,2014,14(3):154-161.AN Xinlei,LI Yinzhen,MA Changxi.Public traffic network modeling withmulti-links[J].Journal of transportation systems engineering and information technology,2014,14(3):154-161.
[7]NIUSVEL A M,ANDRES G A.A new algorithm for approximate pattern mining in multigraphs collections[J].Knowledge based systems,2016(109):198-207.
[8]SUIL.Edge-connectivity in regular multigraphs from eigenvalues[J].Linear algebra and its applications,2016,491(15):4-14.
[9]HAXELLA P E,KIESTEAD H A.Edge coloring multi-gra phs without small dense subsets[J].Original researc article,2015,338(12):2502-2506.
[10]XUN Y,WANG M.Robust visual tracking via multi-graph ranking[J].Neurocomputing,2015,159:35-43.
[11]CHAKARESKI J.Vertex selection via a multi-graph analysis[J].Original research article,2014,102:139-150.
[12]JIANG J,LI W.The effect of interdependence on the percolation of interdependent network[J].Physica:a statistical mechanics and its applications,2014,41:573-581.
[13]STIPPINGER M.Enhancing resilience of interdependent networks by healing[J].Physica:a statistical mechanics and its applications,2014,416:481-487.
[14]蔡文,杨春燕,何斌.可拓学的基础理论与方法体系[J].科学通报,2013,58(13):1190-1199.CAI Wen,YANG Chunyan,HE Bin.Basic theory and methodology on extenics[J].Chinese science bulletin,2013,58(13):1190-1199.
[15]蔡文.可拓集合和不相容问题[J].科学探索学报,1983(1):83-97.CAI Wen.Extension set and non-compatible problems[J].Journal of scientific exploration,1983(1):83-97.
[16]LI Q X,LIU S F.The general elementary dependent function based on the side distance[C]//Proceedings of the 7 th World Congresson Intelligence Control and Automation.Piscataway,2008:1325-1328.
[17]LI Q X.The interval elementary dependent function based on interval side-distance[C]//Proceedings of IEEE 2008ISECS International Colloquium on Computing,Communication,Control,and Management.Piscataway,2008:674-678.
[18]蔡文.物元模型及其应用[M].北京:科学技术文献出版社,1994.
[19]李志明,杨春燕.三个区域套下二维初等关联函数的构造方法[J].辽宁工程技术大学学报,2015,2:267-272.LI Zhiming,YANG Chunyan.Construction method of twodimensional elementary dependent function in three nested regions[J].Journal of liaoning technical university,2015,2:267-272.
[20]YANG Chunyan,CAI Wen.Extenics:theory method and application[M].Beijing:Science Press,2013.