Abstract
In the peak period of a railway system, operators typically add additional trains to provide increased capacity to satisfy the increasing passenger demand. The paper proposes a new optimization framework for designing the operation plan, which includes the number of additional trains, train type, stop plan, and timetable, for additional trains in a peak period. A space-time network representation is used to obtain a feasible primary operation plan by finding a set of feasible space-time paths in the space-time network. Considering simultaneously the passenger demand and the trains’ total travel times, we formulate a biobjective integer programming model for generating a cost and passenger responsible primary operation plan. A set of loading capacity constraints are formulated in the model to guarantee a suitable loading capacity for each station’s passenger demand and better service for passengers. The CPLEX solver is used to solve the proposed model and to generate the optimal operation plan. Two sets of numerical experiments are conducted on a small-scale rail corridor and on the Wuhan-Guangzhou rail corridor to evaluate the performance of the proposed method. The results of the experiments show that the primary operation plan can be obtained within an acceptable computation time.
Highlights
With the development of science, technology, and economics, numerous kilometers of high-speed railway have been constructed in some countries to meet increasing passenger demands. e efficient operation of high-speed trains has become an attractive issue in recent years
To tradeoff passenger demand and operational cost, this paper studied the problem of adding additional trains adopting the skip-stop patterns
Space-time networks can represent well the spatial and temporal characteristics of railway systems. e problem of railway systems can be transformed into the routing problem in space-time network. e Integer programming models (IP) models based on the space-time representation method are used in some literatures of timetable problem (TTP) [5, 26, 27]. is paper introduces the IP model based on a space-time network to solve the problem of designing an operation plan for additional trains
Summary
With the development of science, technology, and economics, numerous kilometers of high-speed railway have been constructed in some countries to meet increasing passenger demands. e efficient operation of high-speed trains has become an attractive issue in recent years. Is paper further extends the collaborative optimization method in Yang et al [8] to the problem of adding additional trains, wherein the variables of the number of passengers, stop plan, train type, and timetable are jointly optimized. To balance the benefits of the railway company and the satisfaction of passenger demand, this paper constructs a biobjective model to design a cost and passenger responsible operation plan for additional trains. To tradeoff passenger demand and operational cost, this paper studied the problem of adding additional trains adopting the skip-stop patterns. Is paper introduces the IP model based on a space-time network to solve the problem of designing an operation plan for additional trains. We present a new biobjective integer programming model for the design of the primary operation plan for additional trains on a long-trip high-speed rail corridor.
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