A subjective capacity evaluation model for single-track railway system with δ-balanced traffic and λ-tolerance level
mode - rail, operations - capacity, operations - scheduling, planning - methods
Railway capacity, Tolerance level, Balance condition, Compaction pattern, Departure time choice
In this paper, we propose a method to measure the capacity of single-track railway corridors subject to a given degree of balance between the two directional traffic loads and a permitted overall delay level. We introduce the concepts of δ-balance degree and λ-tolerance level to reflect the subjective measures of the railway administrator for capacity evaluation. A train balance scheduling problem with initial departure time choice of trains is embedded into the measure of railway capacity. The combined scheduling and capacity evaluation method is formulated as a 0-1 mixed integer programming model, and solved using a simple dichotomization-based heuristic method. A highly efficient heuristic procedure based on the concept of compaction pattern is developed to solve the train balance scheduling problem, and the numerical results demonstrate that the method yields high-quality solutions close to the optimal ones using the CPLEX solver. The two-way traffic loading capacity of a single-track railway corridor is analyzed in detail under different tolerance levels and balance degrees. The transition regions of traffic loading capacity are identified, and provide a useful decision support tool for the railway administrators in dealing with train rescheduling requests under disturbance or disruption scenarios.
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Li, F., Gao, Z., Wang, D.Z.W., Liu, R., Tang, T., Wu, J., & Yang, L. (2017). A subjective capacity evaluation model for single-track railway system with δ-balanced traffic and λ-tolerance level. Transportation Research Part B: Methodological, Vol. 105, pp.43-66.