The Optimization of Port Charge Rates on Inland Waterways
The Optimization of Port Charge Rates on Inland Waterways

Summary/Abstract: Inland waterways play an important role in the transport system of the countrybecause of their ability to provide large volumes of traffic at low cost. The port chargesare an important source of financial resources for the infrastructure development of inlandwaterways and river ports. The most optimal port charge rate can be determined only byappropriate economic and mathematical models. Such models are built and investigatedfirst in general form, then the necessary condition of port charge rate optimality is found.This optimal rate is a fixed point of continuous mapping, which translates non-emptycompact convex set in itself.The optimization of port charge rates by the criterion of maximum profit at differentcosts and competitors rates is shown on corresponding visual charts of dependencies.The models of port charge rates optimization on internal waterways under three variouspossible principal kinds of dependence of ship calls from these rates (linear, convex up,convex down) are also built. The relevant optimal values of port charge rates and therelated amounts of ship calls and financial results are analytically determined. It makespossible to choose the adequate for real data type of dependence and determine its parameters by methods of mathematical statistics, then substitute these values into the appropriateformulas to obtain optimal values of port charges. This approach can be used tofacilitate the development of inland waterways.

• Details
• Contents