The creation of a master plan is a crucial stage in the design of an industrial enterprise. In practice, a manual approach is used to arrange objects on the plan (buildings, structures, etc.), in which designers independently place objects. Creating a project is a creative process, and the number of design options can be quite large. In fact, only a few alternative layout options are formed and compared with each other, from which the best one is selected later. However, this choice is often based on the subjective opinion of a specialist, and does not always guarantee an optimal solution. In addition, the evaluation of options and the final decision depend on the qualifications and experience of the engineers involved. In this regard, it is necessary to automate this process in order to create better projects in a shorter period of time.The purpose of this paper is to describe the creation of a master plan from a mathematical point of view and to create a universal mathematical model suitable for all possible locations of objects relative to each other.Based on the results of this work, in future studies it will be possible to determine optimal numerical methods for placing objects on the master plan. The effectiveness of optimization methods depends on the accuracy of the mathematical models used to describe the problem. The models must accurately reflect all key aspects of the real situation so that the optimization results are suitable for practical use.

mathematical models, automation, master plan, optimization, generation, industrial facility, design, algorithm, constraints.