Abstract: When a customer arrives at a queueing system, he can decide whether to join it or go away and never return according to the length of the queue. We call a queueing system with such mechanism ＂a queueing system with randomly going away mechanism＂. In this

Key words: Queueing system, Thinning of recurrent flows, Balking, GI/M/1/N, GI^X/M/1/N, Computer network, Congestion control