We know too well that the effective operation of a queueing system requires maintaining the traffic intensity at a target value. This important measure of congestion can be monitored b y using control charts\, such as the one found in the seminal work by Bhat and Rao (1972) or more recently in Chen and Zhou (2015). For all intents and purposes\, this paper focus on three control statistics chosen by Mora is and Pacheco (2016) for their simplicity\, recursive and Markovian chara cter:
Since an upward and a dow
nward shift in the traffic intensity are associated with a deterioration a
nd an improvement (respectively) of the quality of service\, the timely de
tection of these changes is an imperative requirement\, hence\, begging fo
r the use of ARL-unbiased charts Pignatiello et al. (1995)\, in the sense
that they detect any shifts in the traffic intensity sooner than they trig
ger a false alarm. In this paper\, we focus on the design of these type of
charts for the traffic intensity of the three single server queues mentio
ned above.
Joint work with Sven Knoth