Optimized Rolling Stock Circulation Planning for Intercity Railways with Train Diagram Adjustment by Routing
This paper proposes a method for formulating rolling stock circulation plans that takes into account routing adjustments,in response to the issue that existing intercity railway rolling stock circulation planning methods do not consider the distribution of seat occupancy rates on operating lines which makes it challenging to effectively suspend low-occupancy train services and retain high-occupancy ones during routing adjustments.The proposed method aims to minimize the number of Electric Multiple Units(EMUs)in service and reduce the disparity in seat occupancy rates along operating lines within each circulation route.A nonlinear integer programming model for rolling stock circulation plan formulation is developed with the constraints of primary maintenance.The model is solved through linearization and the Hierholzer's algorithm is used to search for feasible solutions.The case analysis demonstrates that,compared to traditional methods that only consider the number of EMUs used,the proposed model significantly reduces the disparity in load factors of different routings without increasing the number of EMUs.The optimized plan improves the extreme value of seat occupancy rates along optimized circulation routes by 68.67%and reduces the sum of the variances of seat occupancy rates along operational lines in circulation routes to 66.27%of the comparison plan.During routing adjustments,the optimized solutions accurately prioritize the cancellation of low-occupancy train services.When the number of adjusted routes is set to 1,2,or 3,the proportion of the operating lines with seat occupancy rates less than 60%in the optimized plan remains above 77%,whereas in the comparison plan,this proportion does not exceed 45%.In addition,the average seat occupancy rates of canceled train services in the optimized solution are reduced by 4.48%,5.88%,and 6.01%contrary to comparison plans.
万方数据
维普
