Fiducial intervals for the waiting time in batch and time-sharing systems

In this paper error-estimates for fiducial intervals for the waiting time are analyzed, the intensity and the mean CPU-time being submitted to variations; this is done for a batch-system withn CPU's. Moreover we consider fiducial intervals for the conditional exspectationW(x)=E(waiting time‖CPU-time=x) in the case of the Round-Robin algorithm. Especially we focus on the dependence of the fiducial intervals forW(x) upon the distribution of the CPU-time (Erlang- versus exponential distribution). The results are derived as equations or inequalities including the possibility of numerical computation.