Mean Excess over a Threshold for Number of Customers in Discrete-time Geo^x/D/Queue

Kye Sang Lee, Yutae Lee

This paper considers a discrete-time Geo^x/D/queueing system where customers arrive at a facility with a single server according to a batch geometric process with customer service times assumed to be one slot. This paper investigates the mean excess over a threshold for the number of customers in the queueing system.