A mathematical for periodic scheduling problems
SIAM Journal on Discrete Mathematics
Discrete optimization in public rail transport
Mathematical Programming: Series A and B - Special issue: papers from ismp97, the 16th international symposium on mathematical programming, Lausanne EPFL
Introduction to algorithms
A Survey of Optimization Models for Train Routing and Scheduling
Transportation Science
Minimizing Cycle Time in a Blocking Flowshop
Operations Research
The Cross Entropy Method: A Unified Approach To Combinatorial Optimization, Monte-carlo Simulation (Information Science and Statistics)
A Branch-and-Cut Approach for Solving Railway Line-Planning Problems
Transportation Science
A Column-Generation Approach to Line Planning in Public Transport
Transportation Science
Optimizing Timetable Synchronization for Rail Mass Transit
Transportation Science
The modeling power of the periodic event scheduling problem: railway timetables-and beyond
ATMOS'04 Proceedings of the 4th international Dagstuhl, ATMOS conference on Algorithmic approaches for transportation modeling, optimization, and systems
Timetable information: models and algorithms
ATMOS'04 Proceedings of the 4th international Dagstuhl, ATMOS conference on Algorithmic approaches for transportation modeling, optimization, and systems
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An integrated line planning and timetabling model is formulated with the objective of minimizing both user inconvenience and operational costs. User inconvenience is modeled as the total time passengers spend in a railway system, including waiting at origin and transfer stations. The model is solved using a cross-entropy metaheuristic. The line plan and timetable of Israel Railways is used as a benchmark. Using the same amount of resources, the average journey time of passengers is reduced by 20%.