Non-Homogeneous Birth and Death Processes (Particular Case)
Journal Title: International Journal of Mathematics and Statistics Invention - Year 2018, Vol 6, Issue 3
Abstract
Homogeneous and non-homogeneous Birth and Death Processes (BDPs) have a great importance for many fields of applied probability. For example, Non-homogeneous (See [3],[4]and[5]) versions of the Birth and Death Processes (NH-BDPs) have an important role in queuing theory. In this paper we consider Non-Homogeneous Birth and Death Processes (NHBDPs)(See [3])(The rates are taken to be non-homogeneous, i.e. they can change over time, more particularly we will assume the rates vary with time with constant coeficients, ) ) )). For the same purpose, we are going to complete the resolution of the Chapman Kolmogorov's equation in this case, whose coefficients depend on time t.
Authors and Affiliations
M. EL OUSSATI, M. EL MEROUANI
Keywords
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