The model of flows distribution in a single-product network system

A linear model of the flows distribution in a single-product network system is proposed. The model is represented in the form of a system of mandatory and orienting rules, including a set of linear functions describing the distribution of product flows moving along the network arcs, depending on the product quantity sent from the producing nodes and the product quantity delivered to the consumption nodes. The system of rules reflects the physical and technological characteristics of the object (balance in the network nodes, limits of the arcs' capacity, etc.). To find the model's parameters, the method of targeted displacement of solution is applied. The measurements of quantities used in the problem solution are synchronously performed at the points of contiguity of the network's arcs to the nodes.