An analysis of the machine interference model
Arthur E. Ferdinand · IBM Systems Journal · 1971
The asymptotic properties of the machine interference model were described in this paper. When the properties of the system were appropriately normalized and represented in terms of the variable w (=nu/v), the size dependencies of these properties were of order 1/n in regions of the most interest, that is, w < 1. Furthermore, the model displayed a functionally different behavior in the region w ≥ 1. The region around w = 1 was described as an unstable region in which an equivalent simulation model could be expected to stabilize slowly and probably give results different from the mathematical model. The asymptotic formulas are simple in form and quite accurate, and they allow the performance of queuing analysis with very little effort. In the last section of the paper, the solution and the properties of the generalized machine interference model were given.