In a logistics-production system pertaining to the complex process of concrete works, two subsystems of concrete transport can be distinguished during the realization of objects in monolithic technology. In the mathematical model, according to which the choice of an optimal machine-set for external transport of concrete mixture is made, the assumption is that the concrete production plant delivers concrete mix using its own means of transport of varied capacities to a few simultaneously realized objects. The conceptual apparatus created for this purpose allows one to present the transport system (distant and internal) as one entity and as a logical record of mutual internal relationships between its elements. It also describes its relationships with the external environment. The prepared computer program allows one to perform a complete analysis of machines and devices during the task realization. The presented algorithm of solving the task also allows one to determine the optimal order of loading the concrete truck mixers, i.e. to determine which means of transport start the work and which ones transport concrete mix to the construction site to minimize the transport costs.