M. Broucke et P. Varaiya, A THEORY OF TRAFFIC FLOW IN AUTOMATED HIGHWAY SYSTEMS, Transportation research. Part C, Emerging technologies, 4(4), 1996, pp. 181-210
This paper presents a theory for automated traffic Bow, based on an ab
straction of vehicle activities like entry, exit and cruising, derived
from a vehicle's automatic control laws. An activity is represented i
n the Row model by the space and time occupied by a vehicle engaged in
that activity. The theory formulates Traffic Management Center (TMC)
plans as the specification of the activities and velocity of vehicles,
and the entry and exit flows for each highway section. We show that R
ows that achieve capacity can be realized by stationary plans that als
o minimize travel time. These optimum plans can be calculated by solvi
ng a linear programming problem. The theory permits the study of trans
ient phenomena such as congestion, and TMC feedback traffic rules desi
gned to deal with transients. We propose a ''greedy'' TMC rule that al
ways achieves capacity but does not minimize travel time. We undertake
a microscopic study of the ''entry'' activity, and show how lack of c
oordination between entering vehicles and vehicles on the main line di
srupts traffic Bow and increases travel time. We conclude by giving;so
me practical indication of how to obtain the space and time usage of a
ctivities from vehicle control laws. Finally, we illustrate the concep
ts presented in this paper with two examples of how the model is used
to calculate the capacities of a one-lane automated highway system. In
one example we study market penetration of adaptive cruise control an
d in the second example we study the effect of platooning maneuvers in
a platooning architecture for AHS. Copyright (C) 1996 Elsevier Scienc
e Ltd