ABSTRACT
Trains on a single track with crossing loops are scheduled by a controller who records on a train graph the position and time of each train under his or her authority. Recent improvements in communication between the control room and the train provide an opportunity for rescheduling the crossing locations and varying the velocity of the train so as to effect the efficient crossing of the trains at the crossing loops. A model is proposed for the optimal scheduling of trains so as to minimise the cost of fuel and delay subject to section velocity and safe working constraints. An example illustrates the procedure and provides computational experience.
