Generalised Invariant Subspace based Method for Steady State Analysis of QBD-M Processes

Abstract

The paper shows that the theory of generalised invariant subspace and matrix sign function can be applied to computing steady state distribution of QBD-M queueing system. This queueing system is an appropriate and useful modeling tool for system analysis and performance evaluation in computer and telecommunications network field. Moreover, this computational method is evaluated in comparison with other well-known and recently developed methods.