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
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
Journal title :
General Mathematics Notes
