Maximal bandwidth problems: A new algorithm based on the properties of periodicity of the system

A new approach to arterial progression optimisation, based upon the properties of periodicity in time and space of the system, gives rise to the concept of equivalent systems and module of the system, which allow us to devise a very rapid algorithm for solving a bandwidth maximisation problem. Because inbound speed, outbound speed, and cycle time are synthetically expressed by the module, investigating the dependence of the solution upon these variables is greatly facilitated. The knowledge of the solution as a function of the module makes it possible to determine easily and rapidly the supremum value of the bandwidth, while the availability of a family of maximal bandwidth solutions opens new perspectives in investigating the relationship between bandwidth maximisation and delay and stop minimisation problems.