The Z-Transform Applied to a birth-death Process Having Varying birth and death rates

Kundaeli, Herald N.2016-09-292016-09-292010Kundaeli, H.N., 2010. The z-transform applied to a birth-death process having varying birth and death rates. Journal of Science and Technology (Ghana), 30(1).http://hdl.handle.net/20.500.11810/4321The analysis of a birth-death process using the z-transform was recently reported for processes hav-ing fixed transition probabilities between states. The current report extends that analysis to proc-esses having transition probabilities that can differ from state to state. It is then shown that the model can be used to study practical queuing and birth-death systems where the arrival, birth, ser-vice and death rates may differ from state to state.enMarkov processesBirth-death modelsFrame synchronizationQueuing systemsZ-transformThe Z-Transform Applied to a birth-death Process Having Varying birth and death ratesJournal Article, Peer Reviewed10.4314/just.v30i1.53946