Transient Analysis of Two-Dimensional State M/M/2 Queueing Model with Multiple Vacations, Catastrophes and Feedback

This study obtains transient solution of two-dimensional state Markovian queueing model with homogenous servers, multiple vacations, catastrophes and feedback. Inter-arrival and service times follow an exponential distribution with parameters ? and ?, respectively. Units are ejected from the system when catastrophes occur. Servers get deactivated for a moment and are ready for service when new units arrive. Occurrence of catastrophes follows Poisson distribution with rate. After receiving the service, the units either exit or rejoin the system immediately at the early end of the queue; this is known as ?feedback?. Laplace transform approach has been used to find transient solution and discover some quantifiable results.. KEYWORDS :Markovian queue, Laplace transform, Multiple vacations, Catastrophes, Feedback