We consider a deterministic situation in which identical batches of n jobs are to be scheduled on an m-machine flow line in each of k successive arrival periods of duration Ta. We derive the transient and steady-state properties of this periodic flow line under the assumption that a common (but arbitrary) job sequence is employed for each batch of jobs. In particular, we derive the condition for steady-state; show that under this condition steady-state is achieved in a finite number of arrival periods; and demonstrate the relationships between job sequencing and steady-state throughput and work in process. We further derive the conditions under which finite delays on any machine lead to a permanent degradation of regular performance measures.
