Energy-optimal control of vehicle traffic

Abstract

Selection of vehicle traffic control based on the energy consumption criterion is performed by means of the serial determination of energy-optimal traffic control along the line at the set travel time and energy-optimal distribution of the line travel times. This article is devoted to the choice of energy-optimal control of a transport vehicle based on the maximum principle in the formulation of A.A. Milyutin and A.Ya. Dubovitskii. Examples are given of energy-optimal traffic of the subway trains on runs with different traffic conditions. The solution of the second optimization problem permits one to obtain the energy-optimal distribution of the vehicle travel time by the line based on run travel times. The solution is based on analytical and numerical methods. The results of research on the function of numerous variables on the conditional extrema, numerical optimization, and a vehicle based on the dynamic programming method are used. The comparison of the solution results is given. Due to the necessity of setting the travel time with a certain interval discretion in engineering practice, numerical solution methods are recommended. The specific consumption in the Moscow subway increased only by 9.07% taking into account energy recovery with the growth by 22.95% of traffic between 2007 and 2015.