Abstract
Queueing network models are often analysed by the solution of the global balance equations. In this paper a class of hierarchically structured queueing network models is considered and it is shown that the hierarchical model structure is directly reflected in the state space and the generator matrix of the underlying Markov process. Iterative solution techniques can be modified to make use of the model structure, which allows the efficient numerical analysis of large, up to now not solvable queueing network models.
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Buchholz, P. (1991). The Numerical Analysis of Hierarchical Queueing Network Models. In: Lehmann, A., Lehmann, F. (eds) Messung, Modellierung und Bewertung von Rechensystemen. Informatik-Fachberichte, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76934-4_3
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DOI: https://doi.org/10.1007/978-3-642-76934-4_3
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