This book contributes to making urban rail transport fast punctual and energy-efficient
¿significant factors in the importance of public transportation systems to economic
environmental and social requirements at both municipal and national levels. It proposes new
methods for shortening passenger travel times and for reducing energy consumption addressing
two major topics: (1) train trajectory planning: the authors derive a nonlinear model for the
operation of trains and present several approaches for calculating optimal and energy-efficient
trajectories within a given schedule and (2) train scheduling: the authors develop a train
scheduling model for urban rail systems and optimization approaches with which to balance total
passenger travel time with energy efficiency and other costs to the operator. Mixed-integer
linear programming and pseudospectral methods are among the new methods proposed for single-
and multi-train systems for the solution of the nonlinear trajectory planning problem which
involves constraints such as varying speed restrictions and maximum traction braking force.
Signaling systems and their effects are also accounted for in the trajectory planning model.
Origin¿destination passenger demand is included in the model formulation for train scheduling.
Iterative convex programming and efficient bi-level approaches are utilized in the solution of
the train-scheduling problem. In addition the splitting rates and route choices of passengers
are also optimized from the system point of view. The problems and solutions described in
Optimal Trajectory Planning and Train Scheduling for Urban Rail Transit Systems will interest
researchers studying public transport systems and logistics whether from an academic or
practitioner background as well as providing a real application for anybody studying
optimization theory and predictive control.
