Railway Capacity Allocation Modeling Using a Genetic Algorithm

The South Korean government has established guidelines for railway capacity allocation. Railway transport services are provided by a monopoly company, which together with the guidelines, has hampered research into railway capacity allocation in South Korea. Recently, a new high-speed railway company has been established. Therefore, there is a pressing need for a fair and objective railway capacity allocation procedure. A model was developed to be applicable to South Korean high-speed railway capacity allocation, which is optimized by viewing the railway network as a location–time network. Because railway capacity allocation in South Korea is an administered process, various requirements must be followed; the model uses a genetic algorithm for such requirements. Two test scenarios were used to validate the proposed model, the solution to which resolves more than 70% of conflicts within 20 iterations (148 min). When an attempt is made to schedule infeasible trains compulsively, it is impossible to do so without relaxing one or more constraints. The average headway among real operating trains is very close to the results of the analysis. The proposed model with a genetic algorithm is a rational solution.

[1]  In Chan Choi,et al.  A hybrid genetic algorithm for train sequencing in the Korean railway , 2009 .

[2]  Paolo Toth,et al.  A Lagrangian heuristic algorithm for a real-world train timetabling problem , 2006, Discret. Appl. Math..

[3]  Matthias Ehrgott,et al.  Railway track allocation: models and methods , 2011, OR Spectr..

[4]  Michael R. Bussieck,et al.  Discrete optimization in public rail transport , 1997, Math. Program..

[5]  Leo G. Kroon,et al.  Routing trains through a railway station based on a node packing model , 2001, Eur. J. Oper. Res..

[6]  Erhan Kozan,et al.  Heuristic Techniques for Single Line Train Scheduling , 1997, J. Heuristics.

[7]  Erhan Kozan,et al.  Scheduling trains as a blocking parallel-machine job shop scheduling problem , 2009, Comput. Oper. Res..

[8]  Johanna Törnquist,et al.  Computer-based decision support for railway traffic scheduling and dispatching: A review of models and algorithms , 2005, ATMOS.

[9]  Thomas Schlechte Railway Track Allocation , 2012, OR.

[10]  Anita Schöbel,et al.  Capacity constraints in delay management , 2009, Public Transp..

[11]  Dario Pacciarelli,et al.  Reordering and Local Rerouting Strategies to Manage Train Traffic in Real Time , 2008, Transp. Sci..

[12]  Matteo Fischetti,et al.  Modeling and Solving the Train Timetabling Problem , 2002, Oper. Res..

[13]  Cameron G. Walker,et al.  Simultaneous disruption recovery of a train timetable and crew roster in real time , 2005, Comput. Oper. Res..

[14]  S. Gibson,et al.  Allocation of capacity in the rail industry , 2003 .

[15]  Per Olov Lindberg,et al.  Railway Timetabling Using Lagrangian Relaxation , 1998, Transp. Sci..

[16]  Miguel A. Salido,et al.  A Genetic Algorithm for Railway Scheduling Problems , 2008, Metaheuristics for Scheduling in Industrial and Manufacturing Applications.

[17]  Matteo Fischetti,et al.  Fast Approaches to Improve the Robustness of a Railway Timetable , 2009, Transp. Sci..

[18]  Thomas Albrecht Automated timetable design for demand-oriented service on suburban railways , 2009, Public Transp..

[19]  Leo G. Kroon,et al.  Routing Trains Through Railway Stations: Model Formulation and Algorithms , 1996, Transp. Sci..

[20]  Dan Max Burkolter,et al.  Capacity of railways in station areas using Petri Nets , 2005 .

[21]  Paolo Toth,et al.  A column generation approach to train timetabling on a corridor , 2008, 4OR.

[22]  Janny Leung,et al.  Optimizing Timetable Synchronization for Rail Mass Transit , 2008, Transp. Sci..

[23]  Janny M. Y. Leung,et al.  Timetable Syncronisation For Rail Mass Transit , 2007 .

[24]  Erhan Kozan,et al.  A disjunctive graph model and framework for constructing new train schedules , 2010, Eur. J. Oper. Res..

[25]  Xiaoqiang Cai,et al.  Greedy heuristics for rapid scheduling of trains on a single track , 1998 .

[26]  Sebastian Stiller,et al.  Delay resistant timetabling , 2009, Public Transp..

[27]  U. T. Zimmermann,et al.  Train Schedule Optimization in Public Rail Transport , 2003 .

[28]  X. Cai,et al.  A fast heuristic for the train scheduling problem , 1994, Comput. Oper. Res..

[29]  David M. Ryan,et al.  The train driver recovery problem - A set partitioning based model and solution method , 2010, Comput. Oper. Res..