Markovian queueing systems represent a cornerstone in the study of stochastic processes, offering a robust framework for modelling the random nature of service and arrival processes across diverse ...

Disaster arrival into a queueing system causes all customers to leave the system instantaneously. We present a numerically stable algorithm for calculating the stationary state distribution of an ...

Consider two Markovian N-policy queueing models in discrete time, one with batch arrival, the other with batch service. In this paper the transient behaviour of both models is studied and the ...