Itinerary choice and advance ticket booking for high-speed-railway network services |
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| Institution: | 1. School of Traffic and Transportation Engineering, Central South University, Changsha, Hunan 410075, China;2. Department of Civil and Environmental Engineering, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China;3. School of Computer Science and Engineering, University of New South Wales, Sydney, NSW 2052, Australia;4. Research Centre for Integrated Transport Innovation, School of Civil and Environmental Engineering, University of New South Wales, Sydney, NSW 2052, Australia;1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China;2. School of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China;3. Department of Civil Engineering, Ohio University, Athens, OH 45701, USA;1. School of Traffic and Transportation Engineering, Central South University, Changsha 410075, China;2. Department of Automation, Tsinghua University, Beijing 100084, China;3. Beijing National Research Center for Information Science and Technology, Tsinghua University, Beijing 100084, China;1. School of Traffic and Transportation Engineering, Smart Transport Key Laboratory of Hunan Province, Central South University, Changsha 410075, China;2. Chengdu Municipal Engineering and Research Design Institute, Chengdu, China;3. Department of Civil Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China;4. School of Civil Engineering and Built Environment, Queensland University of Technology, 2 George Street, Brisbane City, QLD 4001, Australia;1. Department of Traffic and Transportation, Beijing Jiaotong University, Beijing 100044, China;2. State Key Lab of Rail Traffic Control & Safety, Beijing Jiaotong University, Beijing 100044, China;3. Beijing Urban Construction Design & Development Group Co., Limited, Beijing 100037, China;4. School of Transportation and Civil Engineering, Nantong University, Nantong 226019, China |
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| Abstract: | This paper formulates and examines the passenger flow assignment (itinerary choice) problem in high-speed railway (HSR) systems with multiple-class users and multiple-class seats, given the train schedules and time-varying travel demand. In particular, we take into account advance booking cost of travelers in the itinerary choice problem. Rather than a direct approach to model advance booking cost with an explicit cost function, we consider advance booking cost endogenously, which is determined as a part of the passenger choice equilibrium. We show that this equilibrium problem can be formulated as a linear programming (LP) model based on a three-dimension network representation of time, space, and seat class. At the equilibrium solution, a set of Lagrange multipliers for the LP model are obtained, which are associated with the rigid in-train passenger capacity constraints (limited numbers of seats). We found that the sum of the Lagrange multipliers along a path in the three-dimension network reflects the advance booking cost of tickets (due to advance/early booking to guarantee availability) perceived by the passengers. Numerical examples are presented to demonstrate and illustrate the proposed model for the passenger assignment problem. |
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| Keywords: | High-speed railway Passenger assignment Linear programming Ticket booking cost Capacity constraint |
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