Matrix geometric method: Difference between revisions

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Revision as of 17:39, 4 September 2015

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==Computation of ''R''==

The matrix ''R'' can be computed using [[cyclic reduction]]<ref>{{Cite journal | last1 = Bini | first1 = D. | last2 = Meini | first2 = B. | doi = 10.1137/S0895479895284804 | title = On the Solution of a Nonlinear Matrix Equation Arising in Queueing Problems | journal = SIAM Journal on Matrix Analysis and Applications | volume = 17 | issue = 4 | pages = 906 | year = 1996 | pmid = | pmc = }}</ref> or logarithmic reduction.<ref>{{cite journal | year = 1993 | title = A Logarithmic Reduction Algorithm for Quasi-Birth-Death Processes | journal = Journal of Applied Probability | volume = 30 | issue = 3 | pages = 650-674 | publisher = Applied Probability Trust | jstor = 3214773 | url = | format = | accessdate = | first1 = Guy | last1 = Latouche | first2 = V. | last2 = Ramaswami}}</ref><ref>{{citeCite journal doi| last1 = Pérez | first1 = J. F. | last2 = Van Houdt | first2 = B. | doi = 10.1016/j.peva.2010.04.003 | title = Quasi-birth-and-death processes with restricted transitions and its applications | journal = [[Performance Evaluation]]| volume = 68 | issue = 2 | pages = 126 | year = 2011 | url = http://www.doc.ic.ac.uk/~jperezbe/data/PerezVanHoudt_PEVA_2011.pdf| pmid = | pmc = }}</ref>

==Matrix analytic method==