Transient Solution of a Two Homogeneous Servers Markovian Queueing System with Environmental, Catastrophic and Restoration Effects (Published)
In this paper we consider a finite capacity Markovian queueing system with two identical servers under two environmental conditions. Change in environmental conditions also affects the state of the queueing system. Further the system is also suffered by randomly occurring disasters, which destroys all the present customers of the system in both the environmental conditions. Then a repair process is started and after the successful repair the system is ready for working. Here, repair time is known as the restoration time. We modeled this queueing system and obtained the transient state solution by using probability generating function technique.
Keywords: Environment, Probability Generating Function, Restoration, catastrophes, finite capacity