异质边多重图网络模型研究  

Research on a heterogeneous edge multi-graph network model

作　　者：王娜娜[1] 高红[2] 刘巍[1,2] WANG Nana GAO Hong LIU Wei(College of Transportation Management, Dalian Maritime University, Dalian 116026, China Department of Mathematics, Dalian Maritime University, Dalian 116026, China)

机构地区：[1]大连海事大学交通运输管理学院,辽宁大连116026 [2]大连海事大学数学系,辽宁大连116026

出　　处：《智能系统学报》2017年第4期475-481,共7页CAAI Transactions on Intelligent Systems

基　　金：辽宁省自然科学基金项目(2015020033)

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.

关 键 词：复杂网络 多重边 多重图网络 异质边 可拓学 物元 二维可拓距 二维位值 

分 类 号：F252[经济管理—国民经济] O157.5[理学—数学]