A survey on robustness in railway planning

Abstract Planning problems in passenger railway range from long term strategic decision making to the detailed planning of operations. Operations research methods have played an increasing role in this planning process. However, recently more attention has been given to considerations of robustness in the quality of solutions to individual planning problems, and of operations in general. Robustness in general is the capacity for some system to absorb or resist changes. In the context of railway robustness it is often taken to be the capacity for operations to continue at some level when faced with a disruption such as delay or failure. This has resulted in more attention given to the inclusion of robustness measures and objectives in individual planning problems, and to the providing of tools to ensure operations continue under disrupted situations. In this paper we survey the literature on robustness in railway planning problems, considering how robustness is conceptualized and modeled for the individual problems of railway, the degree to which an overall railway robustness concept is present, and consider the future directions of robustness in railway planning.

[1]  Leo G. Kroon,et al.  Reinventing Crew Scheduling at Netherlands Railways , 2004, Interfaces.

[2]  Anita Schöbel,et al.  Generalized light robustness and the trade-off between robustness and nominal quality , 2014, Math. Methods Oper. Res..

[3]  Miguel A. Salido,et al.  Robustness for a single railway line: Analytical and simulation methods , 2012, Expert Syst. Appl..

[4]  Thomas L. Magnanti,et al.  Network Design and Transportation Planning: Models and Algorithms , 1984, Transp. Sci..

[5]  Ulrich Wilhelm Thonemann,et al.  Optimizing Railway Crew Scheduling at DB Schenker , 2011, Interfaces.

[6]  Anita Schöbel,et al.  Integer Programming Approaches for Solving the Delay Management Problem , 2004, ATMOS.

[7]  Loon Ching Tang,et al.  Enhancing metro network resilience via localized integration with bus services , 2014 .

[8]  Jc Jan Fransoo,et al.  Environmental sustainability in supply chains , 2014 .

[9]  L. Ingolotti,et al.  Robustness in railway transportation scheduling , 2008, 2008 7th World Congress on Intelligent Control and Automation.

[10]  Daniele Frigioni,et al.  Recoverable robust timetabling for single delay: Complexity and polynomial algorithms for special cases , 2009, J. Comb. Optim..

[11]  Anita Schöbel,et al.  Recovery-to-optimality: A new two-stage approach to robustness with an application to aperiodic timetabling , 2014, Comput. Oper. Res..

[12]  R ICHARD F RELING,et al.  Scheduling Train Crews : a case study for the Dutch Railways , 2000 .

[13]  Leo G. Kroon,et al.  Allocation of Railway Rolling Stock for Passenger Trains , 2002, Transp. Sci..

[14]  Gilbert Laporte,et al.  Evaluating passenger robustness in a rail transit network , 2012 .

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

[16]  Daniele Frigioni,et al.  Robust Algorithms and Price of Robustness in Shunting Problems , 2007, ATMOS.

[17]  Paolo Toth,et al.  Nominal and robust train timetabling problems , 2012, Eur. J. Oper. Res..

[18]  Leo G. Kroon,et al.  A rolling stock circulation model for combining and splitting of passenger trains , 2006, Eur. J. Oper. Res..

[19]  Leo G. Kroon,et al.  Reliability and Heterogeneity of Railway Services , 2006, Eur. J. Oper. Res..

[20]  El-Houssaine Aghezzaf,et al.  Defining robustness of a railway timetable , 2011 .

[21]  Luis Cadarso,et al.  Robust routing of rapid transit rolling stock , 2010, Public Transp..

[22]  Jens Clausen,et al.  Robustness and Recovery in Train Scheduling - a Case Study from DSB S-tog a/s , 2006, ATMOS.

[23]  Luis Cadarso,et al.  Improving robustness of rolling stock circulations in rapid transit networks , 2014, Comput. Oper. Res..

[24]  Rolf H. Möhring,et al.  The Concept of Recoverable Robustness, Linear Programming Recovery, and Railway Applications , 2009, Robust and Online Large-Scale Optimization.

[25]  Matteo Fischetti,et al.  Modeling and Solving the Crew Rostering Problem , 1998, Oper. Res..

[26]  Ralf Borndörfer,et al.  Balancing Efficiency and Robustness - A Bi-criteria Optimization Approach to Railway Track Allocation , 2008, MCDM.

[27]  Jesper Larsen,et al.  An optimization based method for line planning to minimize travel time , 2015 .

[28]  Sofie Burggraeve,et al.  Integrating robust timetabling in line plan optimization for railway systems , 2017 .

[29]  Dirk Cattrysse,et al.  An iterative approach for reducing the impact of infrastructure maintenance on the performance of railway systems , 2016, Eur. J. Oper. Res..

[30]  G. Maróti,et al.  Maintenance Routing for Train Units: The Transition Model , 2005, Transp. Sci..

[31]  Dirk Cattrysse,et al.  Robust railway station planning: An interaction between routing, timetabling and platforming , 2013, J. Rail Transp. Plan. Manag..

[32]  Arkadi Nemirovski,et al.  Robust optimization – methodology and applications , 2002, Math. Program..

[33]  Leo G. Kroon,et al.  Maintenance Appointments in Railway Rolling Stock Rescheduling , 2016, Transp. Sci..

[34]  Leo G. Kroon,et al.  Robust Train Routing and Online Re-scheduling , 2010, ATMOS.

[35]  Gábor Maróti.  A branch-and-bound approach for robust railway timetabling , 2017, Public Transp..

[36]  Anita Schöbel,et al.  Integrating line planning, timetabling, and vehicle scheduling: a customer-oriented heuristic , 2009, Public Transp..

[37]  Reza Tavakkoli-Moghaddam,et al.  The periodicity and robustness in a single-track train scheduling problem , 2012, Appl. Soft Comput..

[38]  Stefan E. Karisch,et al.  Airline Crew Rostering: Problem Types, Modeling, and Optimization , 2004, Ann. Oper. Res..

[39]  Erfan Hassannayebi,et al.  Train timetabling at rapid rail transit lines: a robust multi-objective stochastic programming approach , 2017, Oper. Res..

[40]  Sebastian Stiller,et al.  Computing delay resistant railway timetables , 2010, Comput. Oper. Res..

[41]  Alex Landex,et al.  Measures for track complexity and robustness of operation at stations , 2013, J. Rail Transp. Plan. Manag..

[42]  Thijs Dewilde.  Improving the Robustness of a Railway System in Large and Complex Station Areas , 2014 .

[43]  Marc Nunkesser,et al.  Mining Railway Delay Dependencies in Large-Scale Real-World Delay Data , 2009, Robust and Online Large-Scale Optimization.

[44]  Dennis Huisman,et al.  Adjusting a railway timetable in case of partial or complete blockades , 2012, Eur. J. Oper. Res..

[45]  Daniele Frigioni,et al.  Delay Management Problem: Complexity Results and Robust Algorithms , 2008, COCOA.

[46]  Anita Schöbel,et al.  A Game-Theoretic Approach to Line Planning , 2006, ATMOS.

[47]  Anita Schöbel,et al.  Line planning in public transportation: models and methods , 2012, OR Spectr..

[48]  Matthias Müller-Hannemann,et al.  The Price of Strict and Light Robustness in Timetable Information , 2014, Transp. Sci..

[49]  Rolf H. Möhring,et al.  The Modeling Power of the Periodic Event Scheduling Problem: Railway Timetables - and Beyond , 2004, ATMOS.

[50]  Anita Schöbel,et al.  To Wait or Not to Wait - And Who Goes First? Delay Management with Priority Decisions , 2010, Transp. Sci..

[51]  Christos D. Zaroliagis,et al.  Robust Line Planning under Unknown Incentives and Elasticity of Frequencies , 2008, ATMOS.

[52]  Dario Pacciarelli,et al.  Susceptibility of optimal train schedules to stochastic disturbances of process times , 2014 .

[53]  Dirk Cattrysse,et al.  Reducing the passenger travel time in practice by the automated construction of a robust railway timetable , 2016 .

[54]  Sofie Burggraeve,et al.  Robust routing and timetabling in complex railway stations , 2017 .

[55]  Johanna Törnquist Krasemann,et al.  Robustness in Swedish Railway Traffic Timetables , 2011 .

[56]  Michiel Vromans,et al.  Reliability of Railway Systems , 2005 .

[57]  Dario Pacciarelli,et al.  Dispatching and coordination in multi-area railway traffic management , 2014, Comput. Oper. Res..

[58]  Malachy Carey,et al.  Ex ante heuristic measures of schedule reliability , 1999 .

[59]  Rolf H. Möhring,et al.  The modeling power of the periodic event scheduling problem: railway timetables-and beyond , 2004 .

[60]  Nebojsa J. Bojovic,et al.  Optimal allocation of buffer times to increase train schedule robustness , 2017, Eur. J. Oper. Res..

[61]  Otto Anker Nielsen,et al.  Passenger Perspectives in Railway Timetabling: A Literature Review , 2016 .

[62]  Paolo Toth,et al.  A tutorial on non-periodic train timetabling and platforming problems , 2015, EURO J. Transp. Logist..

[63]  Xuesong Zhou,et al.  Robust single-track train dispatching model under a dynamic and stochastic environment: a scenario-based rolling horizon solution approach , 2011 .

[64]  Francesco Corman,et al.  Evaluating Disturbance Robustness of Railway Schedules , 2014, J. Intell. Transp. Syst..

[65]  Gilbert Laporte,et al.  A game theoretic framework for the robust railway transit network design problem , 2010 .

[66]  Harshad Khadilkar,et al.  Data-Enabled Stochastic Modeling for Evaluating Schedule Robustness of Railway Networks , 2017, Transp. Sci..

[67]  Paolo Toth,et al.  A three-level framework for performance-based railway timetabling , 2015 .

[68]  Anita Schöbel,et al.  Evaluating line concepts using travel times and robustness , 2013, Public Transp..

[69]  Daniel Potthoff,et al.  Column Generation with Dynamic Duty Selection for Railway Crew Rescheduling , 2008, Transp. Sci..

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

[71]  Pieter Vansteenwegen,et al.  Decreasing the passenger waiting time for an intercity rail network , 2007 .

[72]  Alexander Shapiro,et al.  The Sample Average Approximation Method for Stochastic Discrete Optimization , 2002, SIAM J. Optim..

[73]  Matthias Ehrgott,et al.  Constructing robust crew schedules with bicriteria optimization , 2002 .

[74]  Melvyn Sim,et al.  The Price of Robustness , 2004, Oper. Res..

[75]  Matteo Fischetti,et al.  A Lagrangian Heuristic for Robustness, with an Application to Train Timetabling , 2012, Transp. Sci..

[76]  Dirk Van Oudheusden,et al.  Developing railway timetables which guarantee a better service , 2004, Eur. J. Oper. Res..

[77]  Leo G. Kroon,et al.  Efficient Circulation of Railway Rolling Stock , 2002, Transp. Sci..

[78]  Serafino Cicerone,et al.  Dynamic Algorithms for Recoverable Robustness Problems , 2008, ATMOS.

[79]  Matteo Fischetti,et al.  Light Robustness , 2009, Robust and Online Large-Scale Optimization.

[80]  Luis Cadarso,et al.  Robust rolling stock in rapid transit networks , 2011, Comput. Oper. Res..

[81]  Dennis Huisman,et al.  A solution approach for dynamic vehicle and crew scheduling , 2004, Eur. J. Oper. Res..

[82]  Thomas Herrmann,et al.  Finding Delay-Tolerant Train Routings through Stations , 2004, OR.

[83]  Peter Kall,et al.  Stochastic Programming , 1995 .

[84]  Leo G. Kroon,et al.  Cyclic Railway Timetabling: A Stochastic Optimization Approach , 2004, ATMOS.

[85]  Leo G. Kroon,et al.  Railway Rolling Stock Planning: Robustness Against Large Disruptions , 2012, Transp. Sci..

[86]  Richard Freling,et al.  Scheduling train crews: a case study for the Dutch Railways , 2000 .

[87]  Ángel Marín,et al.  Integrating Robust Railway Network Design and Line Planning under Failures , 2009, Robust and Online Large-Scale Optimization.

[88]  Seyed Jafar Sadjadi,et al.  Robust Train Timetabling Problem: Mathematical Model and Branch and Bound Algorithm , 2012, IEEE Transactions on Intelligent Transportation Systems.

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

[90]  Johanna Törnquist Krasemann,et al.  Quantifying railway timetable robustness in critical points , 2013, J. Rail Transp. Plan. Manag..

[91]  Rommert Dekker,et al.  Stochastic Improvement of Cyclic Railway Timetables , 2006 .

[92]  Rob M.P. Goverde,et al.  Railway Timetable Stability Analysis Using Max-plus System Theory , 2007 .

[93]  Lucas P. Veelenturf,et al.  A Railway Timetable Rescheduling Approach for Handling Large-Scale Disruptions , 2014, Transp. Sci..

[94]  Chikara Hirai,et al.  Evaluation Method of Robustness for Train Schedules , 2007 .

[95]  Anita Schöbel,et al.  A Bicriteria Approach for Robust Timetabling , 2009, Robust and Online Large-Scale Optimization.