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In this paper, we study the problem of traffic management in highways facingstochastic perturbations. To model the macroscopic traffic flow underperturbations, we use cell-transmission model with Markovian capacities. Thedecision variables are: (i) the admissible flow through each on-ramp, and (ii)whether individual on-ramps are metered to prioritize the mainline traffic ornot. The objective is to maximize the throughput while ensuring that on-rampqueues remain bounded on average. We develop a computational approach tosolving this stability-constrained, throughput-maximization problem. Weestablish a mixed-integer linear program for throughput maximization andconstruct an algorithm that gives the optimal solution in particular settings.We illustrate the performance benefits of the proposed approach through acomputational study on a segment of Interstate 210 in California, USA.

Throughput-Improving Control of Highways Facing Stochastic Perturbations