F. Baccelli, et P. Brémaud,, Virtual customers in sensitivity and light traffic analysis via Campbell's formula for point processes, Advances in applied probability , 25(1), 1993, pp. 221-234
This article provides the theoretical basis of the virtual customer method or positive rare perturbation (RPA) method of sensitivity analysis, and in particular gives a short proof of the light traffic derivative result of Reiman and Simon [5] based on Campbell's formula. As a by-product, we obtain the archetypal H = .G formula associated with a stationary quantity of a queueing system.