Abstract
In this paper, a matheuristic iterative approach (MHIA) is proposed to solve the line planning problem, also called network design problem, and frequency setting on the Chinese high-speed railway network. Our optimization model integrates the cost-oriented and passenger-oriented objectives into a profit-oriented objective. Therefore, the passenger travel time is incorporated in the ticket price using a travel time value. As a result, transfers and detours will result in lower ticket prices and thus lower revenues for the operator. When evaluating the performance of a given line plan, the way in which passengers will travel through the network needs to be modelled. This passenger assignment is typically a time-consuming calculation. The proposed line planning approach iteratively improves the line plan using easy-to-determine indicators. During the process, a mixed integer linear programming model addresses the passenger assignment and optimizes the frequency setting in order to maximise the operational profit. Extensive computational experiments are executed to show the effectiveness of the proposed approach to deal with the real-world railway network line planning problem. Through extensive computational experiments on the small example network and real-world-based instances, the results show that the proposed model can improve the profits by 22.4% on average comparing to their initial solutions. When comparing to an alternative iterative approach, our proposed method has advantage of obtaining high quality of solutions by improving the profit 10.8% on average. For small, medium, and large size networks, the obtained results are close to the optimal solutions, when available.
Highlights
The Chinese high-speed railway (HSR) network has developed rapidly during the past decade.More railway lines will be constructed in 2020 to accomplish a comprehensive connection between 80% of the cities of China
This paper proposes an iterative approach combined with a mixed integer linear programming (MILP) model for maximizing the operator’s profit during line planning
The results show that the matheuristic iterative approach (MHIA) performs well in reaching to the solutions calculated by MILP
Summary
The Chinese high-speed railway (HSR) network has developed rapidly during the past decade. This paper aims to design a line plan for the 4V4H HSR network and to determine the frequency of the lines, optimizing operational cost and passenger travel time, while considering transfers when necessary. This paper proposes an iterative approach combined with a mixed integer linear programming (MILP) model for maximizing the operator’s profit during line planning. This model will be used to solve the passenger assignment and frequency setting problem.
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