Derivation of an expression for the optimum offset between two adjacent road junctions using regression analysis.

Using curvilinear multiple regression analysis, an expression for the optimum offset between the signal settings of two adjacent junctions within a traffic network is derived. The derivation is made on the assumption that the optimum offset between the two junctions depends on the signal settings of the two junctions only and not on the settings of other neighbouring signals. The expression derived is independent of the control philosophy in that it can be used with off-line optimization techniques or online dynamic policies.