  In this paper, we study the problem of traffic management in highways facing
stochastic perturbations. To model the macroscopic traffic flow under
perturbations, we use cell-transmission model with Markovian capacities. The
decision variables are: (i) the admissible flow through each on-ramp, and (ii)
whether individual on-ramps are metered to prioritize the mainline traffic or
not. The objective is to maximize the throughput while ensuring that on-ramp
queues remain bounded on average. We develop a computational approach to
solving this stability-constrained, throughput-maximization problem. We
establish a mixed-integer linear program for throughput maximization and
construct an algorithm that gives the optimal solution in particular settings.
We illustrate the performance benefits of the proposed approach through a
computational study on a segment of Interstate 210 in California, USA.
