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Avram, Florin; Fotso Chedom, Donatien
TOP, 12/2011, Letnik: 19, Številka: 2Journal Article
In this paper we propose a symbolic method for solving quasi-birth-and-death processes via the RG factorization, and some “simple truncations”—see Remark 4. For reasons yet unexplained, this symbolic method yields the exact G, U, and R matrices in some low dimensional cases like the M / M / c / c retrial queue with c =1,2 servers (these results are essentially known due to Liu and Zhao ( 2010 )), as well as the “Lie solvable model” introduced by Kawanishi ( 2005 ) (again only for c =1,2).
