Abstract
A class of queueing networks has a product-form solution. It is interesting to investigate which queueing systems have solutions in the form of linear combinations of product forms. In this paper it is investigated when the equilibrium distribution of one or two-dimensional Markovian queueing systems can be written as linear combination of products of powers. Also some cases with extra supplementary variables are investigated.
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Adan, I.J.B.F., Wessels, J. (1993). Product forms as a solution base for queueing systems. In: Hansmann, KW., Bachem, A., Jarke, M., Katzenberger, W.E., Marusev, A. (eds) DGOR / ÖGOR. Operations Research Proceedings 1992, vol 1992. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-78196-4_99
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DOI: https://doi.org/10.1007/978-3-642-78196-4_99
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