Estimation of the traffic intensity in a piecewise-stationary M_t/G_t/1 queue with probing

摘要

We use a probing strategy to estimate the time dependent traffic intensity in an M_t/G_t/1 queue, where the arrival rate and the general service-time distribution change from one time interval to another, and derive statistical properties of the proposed estimator. We present a method to detect a switch from a stationary interval to another using a sequence of probes to improve the estimation. At the end, we compare our results with two estimators proposed in the literature for the M/G/1 queue.