# Statistical Estimation of Matrix Analytic Queueing Models

**Project level:** PhD, Masters, Honours

The study of matrix analytic methods in queueing theory is by now a well established research field. The basic idea is to model queueing phenomena by complex large dimensional Markov chains which are well structured and are thus amenable to efficient algorithmic solutions. Since the inception of this research field in the 1970's, matrix analytic models have been proposed for a variety of practical situations such as manufacturing systems, communications networks and service systems. Compared to the wealth of analytic results and models, very little research has focused on issues related to parameter estimation. The purpose of this research is to explore estimation and model fitting procedures of matrix analytic queuing models. Analogies from system theory and system identification theory are to be attempted.