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The purpose of research is to analyse and model the construction project's material supply to support logistic decisions. Materials management and delivery planning decisions have a considerable impact on economic outcomes of projects: they condition the flow of works and strongly affect cost. With regard to cost, the factors to be considered are not only the delivery quantities and time, but also selection of suppliers, places of depot, or the level of pre-processing, prefabrication or assembly prior to delivery. To allow for specific conditions of construction operations, the problem was approached by defining the decision problem, constructing the model and finally applying the model to find solutions of a notional case. The proposed model is a mixed integer linear programming model for optimizing supplies with materials consumed irregularly, enabling the user to determine economic order quantities for consecutive periods of construction works and to choose from available supply channels of a particular material/component or its substitutes, if applicable. The model enables the user to minimize total inventory management cost including costs of on-site pre-processing. It can be the basis of decision support tools. Though the paper presents a construction-customized model of supplies with only one type of material, it can be easily adapted to planning any other materials or components that require pre-processing prior to their application, with this pre-processing possible to be conducted on- or off-site. [ABSTRACT FROM AUTHOR]