In today’s production and service systems, the management process plays a primary role. Analysis of the management process allows the detection of weaknesses and strengths in analyzed systems. This paper analyses production line management processes. For one literature example, a queuing model of a selected production line was built, and its performance and reliability were analyzed. The modelling attempt undertaken here was designed to determine whether queuing theory is suitable for modelling production line processes. Confirmation of this thesis would be a novelty in this field.