The paper demonstrates new approach of rendering the graph point series called gantts. The gantts are placed in the two dimensional graph which contains the information about available production sources in the Real manufacturing process. The gantt is defined as one dimensional coloured dash which has unique position. To have the interaction with a user, gantts are accompanied with the description text giving detailed information about each gantt. All gantt descriptions must be displayed without overlapping with each other. To optimize this task, the modified version of the RBF neural network with biases is applied. With respect to the similarity to the RBF structure, the new type of neural network is named RBF 2. We also give the picture of positive and negative attributes of the solution based on the neural network architecture.
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