conservation equations and variance reduction in queueing simulations
We consider the efficient estimation of mean delay in queue, d , mean wait in system, w , time average number in queue, Q , and time average number in system, L , for simulated queueing systems. We prove for the GI/G/s queue that it is more efficient to estimate w, Q , and L from an estimate of d than it is to estimate them directly. This generalizes previous results for the M/G/ l queue and also confirms empirical studies on other GI/G/s queues.
reduction queue simulation efficiency estimates mean delay systems timing empirical studies