The Reasonable Cycle Length for Periodic Train Line Planning Problem

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Abstract

The application of cyclic train line plan has found an increasingly wide utilization in high-speed railway system while reasonable length of cycle also becomes an essential element of it. In order to apply the cyclic train line plan to Chinese high-speed rail system, the idea of candidate set is introduced and a Mixed Integer Programmer (MIP) model of periodic train line planning based on candidate set is established in this paper. The periodic train line planning problem is considered involving many general constraints, such as the passenger demand, the service frequency, the railway track capacity and variable constraints. The maximum service frequency is determined by specifying the maximum number of trains in every cycle. Besides, according to the data from Beijing-Shanghai high-speed railway, different cycle length of 1 hour, 2 hours and 4 hours is set to generate different cyclic train line plan. By comparing the service quality of the periodic train line plan and the existing one, the effectiveness of the proposed model and relevant method are verified.