Cascading failures coupled model of interdependent double layered public transit network

Abstract

Taking urban public transit network as research perspective, this work introduces the in°uences of adjacent stations on de¯nition of station initial load, the connected edge transit capacity, and the coupled capacity to modify traditional load-capacity cascading failures (CFs) model. Furthermore, we consider the coupled e®ect of lower layered public transit network on the CFs of upper layered public transit network, and construct CFs coupled model of double layered public transit network with \interdependent relationship". Finally, taking Jinan city's public transit network as example, we give the dynamics simulation analysis of CFs under di®erent control parameters based on measurement indicator of station cascading failures ratio (abbreviated as CF) and the scale of time-step cascading failures (abbreviated as TCF l ), get the in°uencing characteristics of various control parameters, and verify the feasibility of CFs coupled model of double layered public transit network. Int. J. Mod. Phys. C Downloaded from www.worldscientific.com by BOSTON UNIVERSITY on 06/27/16. For personal use only.on modeling cascading failures (CF) in abstract network model, 6-11 power transmission network, 12,13 transportation network, 14-18 logistics infrastructure network 19,20 have deepened human's understanding of single layered complex network survivability. However, all kinds of real networks do not exist in isolation, but are composed of a plurality of sub-networks with interdependent relationship, i.e. multiple layered network. The multiple layered network widely exists in the real world. 21-23 Considering the in°uences of interdependent relationship between the sub-networks, can profoundly reveal the dynamics evolution mechanism in complex system. In recent years, modeling and simulation of CF in multiple layered network with interdependent relationship has become the hot topics in the study of network survivability. Buldyrev et al. 24 developed a framework to understand the CF of interdependent networks that coupled by power transmission network and internet communication network, and got that comparing with the single layered network, a broader degree distribution increases the vulnerability of interdependent networks to random failures, which highlights the importance to understand interdependent networks properties. Wang et al. 25 proposed the load assignment method of interdependent networks and constructed a new cascading load model, got that comparing with the disassortative link (DL) pattern between two sub-networks, the assortative link (AL) pattern can improve the robust level of the entire interdependent networks, and gave the mechanism why the lower load nodes can more likely trigger the CF. Cheng et al. 26 analyzed the CF of interdependent networks coupled with di®erent types of sub-networks, which includes the di®erent types of coupled networks and the same type coupled networks; got that di®erent type coupled networks are much more vulnerable under random attacks, di®erent type coupled networks are di±cult to def...

A Cascading Failures Perspective Based Mesoscopic Reliability Model of Weighted Public Transit Network considering Congestion Effect and User Equilibrium Evacuation

“…Modeling Process. This paper establishes the weighted PTN by using the modified space method, which describes the passenger flow carried by the PTN based on the aggregation method [30,36]. More specifically, if one bus route sequentially passes through two adjacent stations, then there is a connected edge between the two stations.…”

“…It simultaneously explains why this cascading failures perspective based reliability model is considered as the mesoscopic reliability model. Thus, an FLDR based on the proportion of adjacent station capacity [30,34,35] or on the proportion of coupled capacity [36], which both lack descriptions of the driver (user) path selection behavior and road congestion effect, does not conform to the actual operation of a PTN.…”

A Review and Prospect for the Complexity and Resilience of Urban Public Transit Network Based on Complex Network Theory

“…The number of nodes in each layer network is the same and corresponds to one another, such as an interdependent PTN combined by the public transit geographical network layer and the public transit transfer network layer. (see the detailed process in the works of Dong et al [70], Zhang et al [71], etc.) (ii) The other one is that the study objects are two types of PTNs (e.g., BTN and URTN).…”

“…In most dynamic resilience studies of PTN, the obtained improvement strategy also includes the qualitative optimization strategy, such as doing the best effort to protect the key nodes (edges) with largest load or increasing the network redundancy by increasing the load tolerance parameter that is used to control how many load a node can carry. Moreover, the control directions (increase or decrease) of various control parameters that are used for better controlling the cascading failures model to be more realistic are given as the preliminary quantitative control method by numerical simulation analysis (a relatively comprehensive control parameters numerical simulation can be seen in the work of Zhang et al [71]).…”

“…The cascading failures based dynamic resilience model of interdependent PTN has various control parameters for better controlling the model to be more realistic. Thus, change the value of various control parameters and repeat the steps above, so that a more complete and comprehensive numerical simulation analysis is conducted (a typical example can be seen in the work of Zhang et al [71]).…”