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This report presents a novel approach to calculate volumes of trains from aset of requirements describing the transportation demands. The model presentedis based on a multi commodity network flow model. The model comprises threedifferent layers: the demand level in which the requirements on the transportsare presented, the route layer which describes the routes possible to implementthe demands and the flow layer in which the resulting flows of train volumesare calculated and distributed over discrete time periods. This structurecorresponds well to other industrial planning processes where differentproducts or services that are to be accomplished are first decomposed bymethods into different layers of tasks, by e.g. a work breakdown structure(WBS). Resources are then allocated to the tasks as well as scheduled in time.The most important feature of the proposed model is that it is volume based,i.e. volume of trains are handled instead of scheduling individual trains.Scheduling a timetable is a very complex task, and by concentrating on thevolumes of trains over time rather than the detailed scheduling of them, thecomplexity is greatly reduced which is a large computational advantage. Thedisadvantage is that the representation of capacity in terms of volumes oftrains with different properties becomes crucial. The report discusses theseadvantages and disadvantages as well as gives two examples of the use of themodel.

A model for calculating volumes of trains as flows given demand and capacity restriction