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.