Ein stetigkeitssatz für einlinige wartemodelle der bedienungstheorie

Abstract

The main result of the paper is the following: In the queueing model GT/G/1 let the service time distributions or/and the interarrival distributions be weak convergent and the corresponding means also convergent. Then the corresponding stationary waiting time distributions are weak convergent and their means are also convergent. The theorem is proved with the help of semiorderings for distributions.