Operations Research
Foreword: special issue on robust optimization
Mathematical Programming: Series A and B
To Wait or Not to Wait? The Bicriteria Delay Management Problem in Public Transportation
Transportation Science
Integer programming approaches for solving the delay management problem
ATMOS'04 Proceedings of the 4th international Dagstuhl, ATMOS conference on Algorithmic approaches for transportation modeling, optimization, and systems
Online delay management on a single train line
ATMOS'04 Proceedings of the 4th international Dagstuhl, ATMOS conference on Algorithmic approaches for transportation modeling, optimization, and systems
The computational complexity of delay management
WG'05 Proceedings of the 31st international conference on Graph-Theoretic Concepts in Computer Science
Recoverable Robust Timetables on Trees
COCOA '09 Proceedings of the 3rd International Conference on Combinatorial Optimization and Applications
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In this paper, we study the problem of planning a timetablefor passenger trains considering that possible delays might occur due to unpredictable (but bounded) circumstances. Once arrival and departure events are scheduled, if the timetable cannot be respected since an external event has determined a delay to a train, the so called delay managementproblem occurs. Delays might be managed in several ways and the usual objective function considered for such purpose is the minimization of the overall waiting time caused to passengers.We analyze the interaction between timetable planning and delay management in terms of the recoverable robustnessmodel, where a timetable is said to be robustif it is able to absorb small delays by possibly applying given recovery capabilities. The quality of a robust timetable is measured by the price of robustnessthat is the ratio between the cost of the robust timetable and that of a non-robust optimal timetable.We consider the problem of designing robust timetables subject to bounded delays. We show that finding an optimal solution for this problem is NP-hard. Hence, we propose robust algorithms and evaluate their prices of robustness. Moreover, we show that such algorithms are optimal with respect to particular assumptions.