A decentralized optimal control scheme for route guidance in urban road networks

A feedback decentralized optimal approach for traffic control in urban networks is developed. The control structure is based on the minimization of an objective function corresponding to the difference among the travel times from each origin node to all the possible destination through the available route on the network. The problem solution is provided on a temporal horizon not specified and, generally, each whenever a stochastic event changes the demand function or the infrastructures supply. The adopted methodology foresees the use of three different algorithmic structures; the first one is able to define the dynamics of the transportation system, and has gotten with a macro model of traffic simulation; the seconds is used for esteeming the travel times on the links, using Gallager's algorithm (1977), and the third defines the resolution of a linear problem of optimization subject to nonlinear constrains.