Message queues are a way for different software components or applications to communicate with each other asynchronously by passing messages through shared buffer. This allows sender send message without needing wait an immediate response from the receiver, which can help improve system’s performance, reduce latency, and allow operate independently. In this paper, we compared evaluated performa...

We propose a novel methodology for solving retrial systems which is based on the aggregation of levels of the Markov model beyond a given one. Its evaluation concludes that is more accurate than previous approximations while requiring a low computational cost.

Contents 1 Quasi birth and death processes 1 2 The QBD of the linear retrial/overflow model 3 3 The factorial moments 8 1 Quasi birth and death processes Motivation. Many important stochastic models involve mul-tidimensional random walks with discrete state space, whose coordinates split naturally into