Particularly, Meester and Muns studied the distribution of perturbation motion by “Phase-up” method as the prime condition; meanwhile, they used the probability theory to

induce the condition of train’s initial late [13]; Delorme et al. created the model of train’s Maraviroc ic50 late speared; then, they used this method to study the characteristics of train diagrams and train speared [14]. In China, the railway system is under the heaviest task all over the world. There are also many achievements on train diagrams [15–20] and the methods of transportation model have been established already [21–27]. Focusing on the research field of the traffic flow, some Chinese experts have also attained several achievements of the CA model in both the theoretic research and practical application. Li et al. who had applied the NaSch model for the purpose of an analysis of train tracking and railway traffic flow for the first time proposed a CA model for simulating the railway traffic system. Two years later, Ning et al. [28] established a CA model to analyze

and explore the space-time diagram of the railway traffic flow and the trajectories of the train movement. At present, the model for simulating the railway traffic system can be roughly divided into two classes: one for the moving block system and the other for the fixed block system. For the moving block system, more and more models for simulating the railway traffic system based on the fixed block system were proposed currently. Zhou et al. [29] simulated the traffic phenomenon of the delay propagation in a moving-like block system. Xun et al. [30] applied CA model to simulate the train running state as well as the traffic phenomenon of the delay propagation in the rail network. Fu et al. [31] proposed a CA model to simulate the tracking operation of trains in Beijing

Subway Line 2. Li et al. established some sound rules to control the running process of a train and presented a new CA model with the consideration of the mixed trains and the distance between the adjacent stations to study the moving block system [32–34]. Unfortunately, all the above-mentioned studies on railway systems had not yet taken the passenger/freight ratio into consideration. In this work, the CA model of four-show fixed block system Dacomitinib in the background of separated passenger and freight line is established in order to simulate the running process of trains and the influences of the different proportions of the passenger/freight on running processes are also discussed herewith. With this model, we simulated the train running state in the four-show fixed block system considering the intermediate stops as well as line maintenance nonperiod and obtained the simulating diagrams of different passenger/freight train ratios. Then, we numerically analyzed characteristics such as operation time, speed, capacity, spacing, and number. 2.