QBD processes provided a useful tool in the study of stochastic models such as queueing systems, manufacturing systems and computer networks. Chapter 3 of Neuts [1981] gave a complete picture of a level independent QBD process. Latouche and Ramaswami [1993] gave a logarithmic reduction algorithm for the rate matrix. Ramaswami [1996] gave an excellent overview for the QBD processes. Naoumov [1996] proposed an algebraically matrix-multiplicative approach to study the stationary probability vector of a QBD process. Li and Cao [2004] gave two types of RG-factorizations which lead to a unified and complete framework to deal with stationary solution and transient solution to performance of various QBD processes. Li and Liu [2005] provided sensitivity analysis of a perturbed QBD process. Ramaswami and Taylor [1996] discussed useful properties of the rate operator in a level dependent QBD processes with a countable number of phases.


QBD processes

author;Quan-Lin Li

Source: Original

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