Overload Analysis of Markovian Models Revised Version

A new procedure for computing stationary probabilities for an overloaded Markovian model is proposed in terms of the rotated Markov chain. There are two advantages to use this procedure: i) This procedure allows us to approximate an overloaded nite model using a stable innnite Markov chain. This will make the study easier when the innnite model has a simpler solution. ii) Numerically, this procedure often signiicantly reduces the number of computations and the requirement of computer memory. By using diierent examples, we speciically demonstrate the process of implementing this rotating procedure.