Title: Modelling and optimal control of transport flows in megapolis

Authors: V.N. Lukanin, A.P. Buslaev, Yu.W. Trofimenko, M.V. Yashina

Addresses: The State Moscow Automobile & Road Technical University (MADI-TU), Leningradsky Prospekt 64, Moscow 125829, Russia. ' The State Moscow Automobile & Road Technical University (MADI-TU), Leningradsky Prospekt 64, Moscow 125829, Russia. ' The State Moscow Automobile & Road Technical University (MADI-TU), Leningradsky Prospekt 64, Moscow 125829, Russia. ' The State Moscow Automobile & Road Technical University (MADI-TU), Leningradsky Prospekt 64, Moscow 125829, Russia

Abstract: The problem of modelling and optimal control of transport flows on a traffic net of a large town is investigated in this paper. The main elements of mathematical description of a city|s transport net are formulated, and the base parameters influencing the traffic are introduced. A mathematical model of traffic flows on net is described; in addition, structure of traffic flow|s composition according to the different types of vehicle is taken into account essentially. Formulations of different optimal control problems of flows and approaches to their solvability are given. Processes of flows ramification on alternative traffic net sections are formalized, and models of traffic movement are considered according to the different optimal criteria. The algorithms are tested on the example of the Moscow traffic net and are based on energetic process estimation.

Keywords: fuel consumption; optimal control; traffic flows; traffic flow density; traffic flow intensity; traffic net graph; mathematical modelling.

DOI: 10.1504/IJVD.1998.062076

International Journal of Vehicle Design, 1998 Vol.19 No.3, pp.267 - 281

Published online: 29 May 2014 *

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