Modeling a generic assembly system II

We study the modeling of a generic assembly system with infinite buffers. This open system consists of two input processes which deliver one component for assembly. The component interarrival times are identical continuously and uniformly distributed. A kit contains one unit of each component and the assembled kit is defined as an assembly product. Components and kits obey the FCFS-discipline. We rely on the field of probability theory which enables us to derive exact results as well as good approximations for the probability distribution of the synchronization time of the components for each kit I and the probability distrubution of the interarrival time of I kits at the assembly machine respectively. In addition, we also obtain some asymptotic results.