Modeling And Characteristic Analysis Of Several Empirical Weighted Hypernetworks

In recent years,the rapid development of computer technology has provided technical support for the study of complex networks in the real world,and also brought convenience to reveal and explore the characteristics and laws of large complex systems.Complex networks provide methods and theoretical support for understanding complex systems.Secondly,the study of empirical complex systems also reflects the value of complex network theory.And it has powerful practical implications.The complex hypernetwork is the extension and continuation of complex network,or complex network is also a special case of complex hypernetworks.At the same time,the previous research results also show that the modeling and analysis of the real system using the complex hypernetworks theory is effective.It can describe the real system more comprehensively,including more complex structural characteristics and dynamic behavior.With the deepening of empirical hypernetwork research,the analysis from the topological structure of hypernetwork can't accurately and comprehensively reflect its inherent practical characteristics.Therefore,the empirical hypernetwork adopts the weighting strategy.It is found that the introduction of weight can reflect the internal information of actual complex system more truly,comprehensively,accurately and effectively.This method is helpful to understand the properties and behaviors of the system,thus can optimize and control the complex system better.Based on the analysis of the characteristics of real complex systems,this paper puts forward the corresponding weight index and weight strategy according to the characteristics of different systems.Then,the properties of actor weighted hypernetwork and Xining bus weighted hyperrnetwork are analyzed respectively.The specific research work of this paper are summarized as follows:1.The measuring indexes of weighted hypernetworks are proposed.In this paper,based on the metric index of unauthorized network,the metric index of weighted hypernetwork are defined.Including node over-strength,edge over-strength,node and edge weighted of the proximity,node and edge weighted aggregation coefficient,etc.Then,the distribution characteristics of these measuring indexes are described.2.The actor hypernetwork model for weighting is constructed.Then,three kinds of actor influence analysis models are proposed based on different weighting strategies.Based on the empirical data of movies and actors,this paper constructs an actor-weighted hypernetwork model.The weighted strategies include the weighted strategy based on hypernetwork topology,empirical data and the combined weighted strategy.Meanwhile,this paper uses the above weighted strategies to construct three types of actors influence analysis models.Through simulation experiments,the actors' influences under different models are compared and analyzed,and the most reasonable actor influence analysis model is further obtained.3.The weighted hypernetwork model of Xining bus is constructed.Based on the actual distribution strategy,a capacity load model is proposed to analyze the robustness of urban bus system.On the basis of passenger flow data of bus system in Xining city,this paper constructs a weighted hypernetwork model.The distribution of unauthorized and weighted metrics is compared and analyzed by simulation experiment.In order to study the bus system robustness better,this paper presents a capacity load model under the actual traffic allocation strategy.In addition,the model is used to obtain the robustness of the hypernetwork against deliberate attack and random attack under two load modes.The results of this study provide an effective method for further comprehensive evaluation of actors' influence.A new idea for the study of the robustness of urban public transport system is provided.At the same time,it also provides technical reference and support for the weighted reach of other complex systems.