A mathematical for periodic scheduling problems
SIAM Journal on Discrete Mathematics
A Survey of Optimization Models for Train Routing and Scheduling
Transportation Science
Simultaneous disruption recovery of a train timetable and crew roster in real time
Computers and Operations Research
Generation of classes of robust periodic railway timetables
Computers and Operations Research
An efficient stochastic hybrid heuristic for flowshop scheduling
Engineering Applications of Artificial Intelligence
Distributed search in railway scheduling problems
Engineering Applications of Artificial Intelligence
A hybrid electromagnetism-like algorithm for single machine scheduling problem
Expert Systems with Applications: An International Journal
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Computers and Industrial Engineering
A Lagrangian heuristic algorithm for a real-world train timetabling problem
Discrete Applied Mathematics - Special issue: IV ALIO/EURO workshop on applied combinatorial optimization
The periodicity and robustness in a single-track train scheduling problem
Applied Soft Computing
Robust Train Timetabling Problem: Mathematical Model and Branch and Bound Algorithm
IEEE Transactions on Intelligent Transportation Systems
Engineering Applications of Artificial Intelligence
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Train timetabling with minimum delays is the most important operating problem in any railway industry. This problem is considered to be one of the most interesting research topics in railway optimization problems. This paper deals with scheduling different types of trains in a single railway track. The primary focus of this paper is on the periodic aspects of produced timetables and the proposed modeling is based on the periodic event scheduling problem (PESP). To solve large-scale problems, a hybrid meta-heuristic algorithm based on simulated annealing (SA) and particle swarm optimization (PSO) is proposed and validated using some numerical examples and an Iranian case study that covers the railway line between two cities of Isfahan and Tehran.