Look-Ahead Approaches for Integrated Planning in Public Transportation

In this paper we deal with three consecutive planning stages in public transportation: Line planning (including line pool generation), timetabling, and vehicle scheduling. These three steps are traditionally performed one after another in a sequential way often leading to high costs in the (last) vehicle scheduling stage. In this paper we propose three different ways to "look ahead", i.e., to include aspects of vehicle scheduling already earlier in the sequential process: an adapted line pool generation algorithm, a new cost structure for line planning, and a reordering of the sequential planning stages. We analyze these enhancements experimentally and show that they can be used to decrease the costs significantly.

[1]  Anita Schöbel,et al.  Line pool generation , 2017, Public Transp..

[2]  Marie Schmidt,et al.  Timetabling with passenger routing , 2015, OR Spectr..

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

[4]  Anita Schöbel,et al.  An eigenmodel for iterative line planning, timetabling and vehicle scheduling in public transportation , 2017 .

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

[6]  Martin Grötschel,et al.  A Column-Generation Approach to Line Planning in Public Transport , 2007, Transp. Sci..

[7]  Ralf Borndörfer,et al.  Passenger routing for periodic timetable optimization , 2017, Public Transp..

[8]  Leon W P Peeters,et al.  Cyclic Railway Timetable Optimization , 2003 .

[9]  Christian Liebchen,et al.  Periodic Timetable Optimization in Public Transport , 2006, OR.

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

[11]  Walter Ukovich,et al.  A Mathematical Model for Periodic Scheduling Problems , 1989, SIAM J. Discret. Math..

[12]  Leo Kroon,et al.  A Cycle Based Optimization Model for the Cyclic Railway Timetabling Problem , 2001 .

[13]  Steven Harrod,et al.  A tutorial on fundamental model structures for railway timetable optimization , 2012 .

[14]  Anita Schöbel,et al.  Improving the modulo simplex algorithm for large-scale periodic timetabling , 2013, Comput. Oper. Res..

[15]  Natalia Kliewer,et al.  An overview on vehicle scheduling models , 2009, Public Transp..

[16]  Anita Schöbel,et al.  A Matching Approach for Periodic Timetabling , 2016, ATMOS.

[17]  Anita Schöbel,et al.  Integrating Passengers' Routes in Periodic Timetabling: A SAT approach , 2016, ATMOS.

[18]  K. Nachtigall.  Periodic network optimizationi and fixed interval timetables , 1999 .

[19]  Marie Schmidt.  Integrating Routing Decisions in Public Transportation Problems , 2014, Optimization and its applications.

[20]  Markus Friedrich,et al.  Angebotsplanung im oeffentlichen Verkehr - Planerische und algorithmische Loesungen , 2017 .

[21]  Karl Nachtigall,et al.  Solving Periodic Timetable Optimisation Problems by Modulo Simplex Calculations , 2008, ATMOS.