摘要
In this note, we consider GIG/I queues with stationary and ergodic inputs. Weshow that if the service times are independent and identically distributed withunbounded supports, then for a given mean of interarrival times, the number ofsequences (distributions) of interarrival times that induce identical distributions oninterdeparture times is at most 1. As a direct consequence, among all the GIMI1queues with stationary and ergodic inputs, the MIMI/1 queue is the only queue whosedeparture process is identically distributed as the input process.