Three mathematical models AZ - 01, AZ - 02 and AZ - 05 are presented. The first one (AZ - 01) refers to optimum trenchless pipe laying technology and specified input data. Given are: the classification of trenchless methods, assumptions, limiting conditions, input and output quantities. The algorithm of the model is discussed. The second one (AZ - 02) refers to the choice of optimum trenchless technologies taking into account the specificity of urban conditions. The assumptions, limiting conditions of this model such as the rate of work, the dimensions of starting and target pits are given. The third one (KA - 05) reckons the costs of diversions for linear objects. The results of analysis carried out in Wrocław (Poland) and Leipzig (Germany) using the KA - 05 model has been shown.
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