Title of article
On a Z-Transformation Approach to a Continuous-Time Markov Process with Non-fixed Transition Rates
Author/Authors
Anake ، T.A. - Covenant University , Edeki ، S.O. - Covenant University , Oguntunde ، P.E. - Covenant University , Odetunmibi ، O.A. - Covenant University
Pages
12
From page
85
To page
96
Abstract
The paper presents z-transform as a method of functional transformation with respect to its theory and properties in dealing with discrete systems. We therefore obtain the absolute state probabilities as a solution of a differential equation corresponding to a given Birth-and–Death process via the z-transform, and deduce the equivalent stationary state probabilities of the system.
Keywords
Markov Processes , Birth , Death Process , Z , Transform , Generating Function , Characteristic Differential Equation
Journal title
General Mathematics Notes
Serial Year
2014
Journal title
General Mathematics Notes
Record number
2457663
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