Dynamic behaviour of N-stage transfer lines with unreliable machines and finite buffers

An important class of production systems are modeled by buffered transfer lines with unreliable workstations. The system state consists of the operational condition of the workstations and the levels of the material in the buffers. The purpose of this paper is to study the DYNAMIC BEHAVIOUR OF N-stage transfer lines. We show that every dynamic state converges asymptotically towards a steady state. We estimate the speed of convergence.