A Branch-and-Cut Approach for Solving Railway Line-Planning Problems
Transportation Science
Optimization in Public Transportation: Stop Location, Delay Management and Tariff Zone Design in a Public Transportation Network (Springer Optimization and Its Applications)
A Column-Generation Approach to Line Planning in Public Transport
Transportation Science
Recoverable Robust Timetables on Trees
COCOA '09 Proceedings of the 3rd International Conference on Combinatorial Optimization and Applications
Computing delay resistant railway timetables
Computers and Operations Research
Recoverable Robustness in Shunting and Timetabling
Robust and Online Large-Scale Optimization
Robust and Online Large-Scale Optimization
A Bicriteria Approach for Robust Timetabling
Robust and Online Large-Scale Optimization
To Wait or Not to Wait---And Who Goes First? Delay Management with Priority Decisions
Transportation Science
Engineering the modulo network simplex heuristic for the periodic timetabling problem
SEA'11 Proceedings of the 10th international conference on Experimental algorithms
Delay Management with Rerouting of Passengers
Transportation Science
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We present a game-theoretic model for the line planning problem in public transportation, in which each line acts as player. Each player aims to minimize its own delay, which is dependent on the traffic load along its edges. We show that there exists a line plan at equilibrium, which minimizes the probability of delays of the transportation system. This result is achieved by showing that a potential function exists. Numerical results using close-to-real world data in the LinTim framework clearly show that our method indeed produces delay-resistant line concepts.