Recursive transport flow dynamics with time dependent a priori informationRecursive transport flow dynamics with time dependent a priori information

Abstract.

Two properties of a dynamic network flow model based on a slow process of structural adjustment inspired by principles used in models utilising a priori information is analysed. Initially it is proved that each time period is characterised by monotonically non-increasing transportation costs among flows. Secondly, we analyse the recursive sequence of connected periods. This dynamic sequence is shown to converge to the linear programming solution connected with cost minimisation. Evidently those properties have to be taken into consideration when this class of network flow models is used in forecasting of future transport flows in the process of infrastructure planning.