Approximate queue scheduling for rainfall synthesis over radio links in subtropical regions

In this paper, a queue scheduling technique of evaluating the incidence of rainfall over radio links is presented. This technique proposes the synthesis of rainfall events from decomposed rain spike components generated from queueing analysis. In this study, rainfall spikes generated during rain events over Durban (29°52´S, 30°58´E) - are assumed as finite - with each overlapping one another, according to a specified queue discipline. Over this subtropical location, the M/E_k/s queue discipline is adapted such that spike arrivals are Markovian (M), and their service time, Erlangian (E_k) with multiple servers, s. From results, the rainfall statistical distributions generated from this technique are observed to compare well with the actual data in South Africa.