A mixed-integer linear programming method for time-dependent line planning in passenger railway systems

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Argitaratua izan da:PLoS One vol. 20, no. 5 (May 2025), p. e0322394
Egile nagusia: Shi, Xin
Beste egile batzuk: Zhou, Wenliang, Li, Xiang
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Public Library of Science
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Sarrera elektronikoa:Citation/Abstract
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024 7 |a 10.1371/journal.pone.0322394  |2 doi 
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100 1 |a Shi, Xin 
245 1 |a A mixed-integer linear programming method for time-dependent line planning in passenger railway systems 
260 |b Public Library of Science  |c May 2025 
513 |a Journal Article 
520 3 |a This paper addresses a line planning problem (LPP) that simultaneously optimizes both train and passenger times in passenger railway systems, considering time-dependent origin-destination-period demand and passenger train choice. The problem is clearly and flexibly modeled in a physical infrastructure-based directed graph, which efficiently integrates the train operation choice and the passenger train choice. The problem is first formulated as a mixed-integer, non-concave, and non-linear programming model aimed at minimizing both the total operating cost of trains and the total travel cost of passengers. To solve the problem, an extended time-dimension method is proposed to transform the non-concave and non-linear model into a mixed-integer linear programming (MILP) model that can be solved using a commercial solver. Additionally, a set of simplification strategies is introduced to reduce the computational complexity while ensuring the global optimality of the linear model. A case study of a busy Chinese railway line demonstrates that the optimized time-dependent line plan enhances operational efficiency and accommodates the diversified travel preferences driven by time-dependent demand. 
651 4 |a China 
653 |a Trains 
653 |a Time dependence 
653 |a Passenger trains 
653 |a Linear programming 
653 |a Integer programming 
653 |a Operating costs 
653 |a Graph theory 
653 |a Planning 
653 |a Optimization 
653 |a Railways 
653 |a Railway networks 
653 |a Algorithms 
653 |a Mixed integer 
653 |a Railroads 
653 |a Nonlinear programming 
653 |a Passengers 
653 |a Case studies 
653 |a Economic 
700 1 |a Zhou, Wenliang 
700 1 |a Li, Xiang 
773 0 |t PLoS One  |g vol. 20, no. 5 (May 2025), p. e0322394 
786 0 |d ProQuest  |t Health & Medical Collection 
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