Dynamic evolution algorithm designing and control parameters quantitatively grading for the cascading failures based reliability model of an interdependent public transit network

To promote the engineering application of the cascading failures (CFs) based reliability study framework for interdependent public transit network (PTN), the dynamic evolution algorithm for activating different components of CFs model should be designed, thereby providing the prerequisite for mastering different control capabilities of multiple CFs control parameters. First, through analyzing the internal cohesion and cooperative evolution mechanism of the different components of CFs model, the dynamic evolution algorithm with high operability is designed to realize the efficient simulation of CFs dynamics evolution. Second, taking Jinan's interdependent PTN as simulation case, the dynamics evolutions under multiple CFs control parameters are analyzed based on the multi-perspective CFs measurement indicator system. Thereby, the obtained dynamics analysis sample is large enough for measuring the reliability of multiple CFs measurement indicators, and provides the general demonstration analysis framework for being widely used in other cities. Third, we propose the classification distinguishing criteria for evaluating the simulation experiment results, thus getting the basic classification results table. Then, through providing experts with this suggested classification results table as well as all corresponding simulation figures and their dynamics simulation analyses, we qualitatively grade the reliability of CFs measurement indicators by combining the expert comments with our observations. Finally, through analyzing relation mechanism between the CFs control parameters and the multi-perspective CFs measurement indicator system, the quantitatively grading method of CFs control parameters considering analytic hierarchy process (AHP) is proposed. The designed dynamic evolution algorithm provides the basic simulation platform for future extended study, and the designed quantitatively grading method of CFs control parameters helps the city traffic manager to clearly know the priority control sequence of CFs control parameters, making the CFs based reliability be able to be optimized from multiple measures. (paper: interdisciplinary statistical mechanics)