Matrix-Analytic Methods – An Algorithmic Approach to Stochastic Modelling and Analysis

Abstract

The field of matrix analytic methods (MAM) was pioneered by Dr. Marcel F. Neuts in the middle of the 1970s for the study of queueing models. In the past 40 years, the theory on MAM has been advanced in parallel with its applications significantly. Matrix-analytic methods contain a set of tools fundamental to the analysis of a family of Markov processes rich in structure and of wide applicability. Matrix-analytic methods are extensively used in science, engineering, and statistics for the modelling, performance analysis, and design of computer systems, telecommunication networks, network protocols, manufacturing systems, supply chain management systems, risk/insurance models, etc.