The article presents the issue of assessing the effectiveness of the implementation of a logistics process with the use of a simulation model and queue theory. The process that has been analyzed is the process of goods’ delivery at the technical object. Firstly, a literature review was carried out. Next, the authors described the process using the QT (Queueing Theory). This was possible due to the fact that QT is widely used in the analysis of systems as well as the assessment of their effectiveness, maintenance, and reliability. The description, characteristics and graphic presentation of the system in which the process is carried out have been included in the study too. Then the process was implemented in the computer simulation environment. Simulations were carried out and four variants of the system operation were analyzed. The comparison of the operating parameters of the system for each variant allowed for a detailed analysis of its operation and the influence of selected factors on the implementation of the process as well as it effectiveness or reliability.