Abstract
In this paper we introduce and study nonhomogeneous geometric random variables and their representations. We relate these to standard probability mass functions and to representations using birth-and-death processes. This facilitates comparison of various queueing models by birth/death models. We examine different queueing models with the same limiting distribution.
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Mandelbaum, M., Hlynka, M. & Brill, P.H. Nonhomogeneous geometric distributions with relations to birth and death processes. TOP 15, 281–296 (2007). https://doi.org/10.1007/s11750-007-0018-z
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DOI: https://doi.org/10.1007/s11750-007-0018-z