An improved cascading failure model of airline network based on spatial distance factor
To accurately analyze the cascading failure effects of an airline network under various hazardous events,such as deliberate destruction,severe weather,and mechanical failures,we first integrated a non-linear relationship between node load and capacity,and three common node overload states with normal,congestion,and failure,introduced node capacity parameters α,β and node overload coefficient y,then established a comprehensive cascading failure model for an airline network.Secondly,based on it,we fully considered actual operational characteristics of civil aviation,i.e.,flight spatial distance factor to improve traditional global node load redistribution strategy,and proposed a circular node load redistribution strategy,which takes airports losing transport function as the center and actual k times distance of average flight mileage as the radius.Then,taking a domestic airline network as an example,simulation verification under two attack strategies of random and deliberate is carried out.The results show that the improved node load redistribution strategy based on spatial distance factor is more universal,that is,the traditional global node load redistribution strategy is only a special case.Furthermore,the cascading failure results of the airline network are closely related to node load redistribution radius,and usually,there exists a critical value.When the node load redistribution radius is less than this critical value,the number of failed airports increases together with a larger node load redistribution radius.Conversely,if the node load redistribution radius is greater than this value,the number of failed airports changes to decrease as the node load redistribution radius increases.Therefore,determining a reasonable node load redistribution radius based on the actual influence situation of an airline network may provide great assistance for alleviating the cascading failure impact of an airline network.