Purpose: The purpose of this paper is to attempt to realize the optimization of cascading failure process of urban transit network based on Load‐Capacity model, for better evaluating and improving the operation of transit network.Design/methodology/approach: Robustness is an essential index of stability performance for urban transit systems. In this paper, firstly, the static robustness of transit networks is analyzed based on the complex networks theory. Aiming at random and intentional attack, a concrete algorithm process is proposed on the basis of Dijstra algorithm. Then, the dynamic robustness of the networks, namely cascading failure, is analyzed, and the algorithm process is presented based on the Load‐Capacity model. Finally, the space‐of‐stations is adopted to build the network topology of Foshan transit network, and then the simulation analyses of static and dynamic robustness are realized.Findings: Results show that transit network is robust to random attack when considering static robustness, but somewhat vulnerable to intentional attack. For dynamic robustness analysis, a large‐scale cascade of transit network may be triggered when the tolerance parameter α is less than a value, so that the robustness of transit network can be improved through some reasonable measures.Practice implications: The results of this study provide useful information for urban transit network robustness optimization.Originality/value: An effective method for analyzing the static and dynamic robustness of transit network is provided in this paper.

The dynamic matrix control (DMC) strategy is extended to a nonlinear system using Hammerstein model that consists of a static nonlinear polynomial function followed in series by a linear step response dynamic element. A new nonlinear Hammerstein DMC algorithm (named NLH-DMC) is presented in detail. The set point tracking and disturbance rejection simulation results of a strong nonlinear PH neutralization process control show that NLH-DMC gives better control performance than linear DMC (LDMC) and the nonlinear PID (NL-PID) controller commonly used in process industry. Further simulation experiment demonstrates that NLH-DMC not only gives good control response, but also possesses good stability and robustness even existing large modeling errors

In this paper, the concept of reserve capacity has been extended to zone level to measure the land-use development potentiality of each trip generation zone. Bi-level programing models are proposed to determine the signal setting of individual intersections for maximizing possible increase in total travel demand and the corresponding reserve capacity for each zone. The change of the origin–destination pattern with the variation of upper level decision variables is presented through the combined distribution/assignment model under user equilibrium conditions. Both singly constrained and doubly constrained combined models are considered for different trip purposes and data information. Furthermore, we have introduced the continuous network design problem by increasing road capacity and examined its effect on the land-use development potentiality of trip generation zone. A numerical example is presented to illustrate the application of the models and how a genetic algorithm is applied to solve the problem.

In this paper, we present a strategy whose purpose is to reduce the vulnerability of a network via inserting modular topologies. The modular topologies are generated as WS small-world random network, which is relatively highly robust. Using betweenness and betweenness centrality as the vulnerability measurement, the strategy searches for remote nodes with low betweenness in the network and sets these nodes to be connected to the modular topologies. We test our strategy on some basis networks and the results show sufficient availability of our strategy. And by comparing with other methods of adding topologies into the network, we show that our strategy is especially efficient in reducing the vulnerability of the critical network components.