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On the reversibility of the input and output processes for a general birth-and-death queueing model
1977
Journal of Applied Probability
Preserved Fulltext
In this paper we consider the general birth-and-death queueing model of Natvig (1975). Define the input and output processes by the steady-state behaviour of respectively successive input and output intervals. Ignoring balking customers, two cases are considered. In the first case we treat a lost customer neither as an input nor as an output, then secondly as both. For both cases we show the input and output processes to be reverse processes. One mistake and two erroneous comments in Natvig (1975) are also corrected.
doi:10.1017/s002190020010542x
fatcat:25jffvazjfdjdmqkjcyi5gmwfy