A method reduces the computation time for determining optimal run-curves for a specific travel time of a vehicle along a route between two locations. The computation is partitioned between pre-processing and real-time steps. A set of weights μ are generated, and run-curves for the weights are obtained and stored during the pre-processing. State transition matrices can also be determined and stored during the pre-processing. During real-time, a specific travel time is obtained. The travel time is used to interpolate the weight μ for the specific travel time from the stored weights. The memory can be updated for each solution for a specific travel time to dramatically reduce the time to optimize the run-curves.