Estimation in single server queues

Abstract

Abstract Moment and maximum likelihood estimates (m.l.e.'s) arc investigated for nonparametric and parametric models for a single server queue observed over a random time horizon, namely, up to the nth departure epoch. Also. m.l.e's of the mean interarrival time and mean service time in an M/M/ 1 queue observed over a fixed time‐interval are studied Limit distributions of these estimates are obtained Without imposing steady state assumptions on the queue‐size or waiting time processes.