AbstractThis paper considers some of the statistical service, flow and delay problems which arriving aircraft encounter in the glide-path of an airport runway. Mathematical expressions for service time distributions and delays are formulated in terms of the probability distributions of spacings between discharges of the glide-path. In this paper the author also considers some numerical solutions of the average glide-path separation as a function of, the average delay to arriving aircraft,x0, a minimum glide-path separation andλthe average Poisson flow rate of landing aircraft.