This research applyes bi-level formalism for the optimal control of urban transportation network. The well known store-and-forward model in traffic control is complicated in order to increase the control space of the optimization problem. Mainly, the store-and-forward models apply the split as a control argument, assuming the traffic light cycle as a constant parameter. This research shows that using bi-level formalism the control problem can be defined by increased control space comprising both the split and the cycle. Both are found as optimal solutions of a bi-level optimization problem. The bi-level formalism allows to be considered additional goal functions for the control process] the extension of the control space as to undertake additional constraints. The extension of the control space allows achieving additional goals for the control process, which is not possible with small scale of the control influences. The research demonstrates the extension of the traffic control with splits of the green lights as the cycles of the traffic lights.
Keywords: Traffic control, multilevel systems, bi-level optimization, computer systems, autonomic computing