On symbolic RG factorization of quasi-birth-and-death processes.

Autor: Avram, Florin, Fotso Chedom, Donatien
Zdroj: TOP; Dec2011, Vol. 19 Issue 2, p317-335, 19p
Abstrakt: 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 ()), as well as the 'Lie solvable model' introduced by Kawanishi () (again only for c=1,2). [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index