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In a G/GI/c loss system with balking, reneging, or limited waiting space, deleting some of the arriving customers can either increase or decrease the fraction of the remaining arrivals who get served, depending on how customers are deleted. We present a model in which the random deletion of arrivals independently and with some fixed probability can never decrease the fraction of the remaining arrivals who get served. [ABSTRACT FROM AUTHOR]

Presents a study on the use of coupling methods to show that the feedback flow of customers returning to the back of the queue converges to a Poisson process as the feedback delay distribution is scaled up. Approximations of waiting time in the setting of Poisson arrivals; Proof of coupling of a highway traffic result.