Decompositional analysis of Kronecker structured Markov chains


Journal Article

This contribution proposes a decompositional iterative method with low memory requirements for the steadystate analysis ofKronecker structured Markov chains. The Markovian system is formed by a composition of subsystems using the Kronecker sum operator for local transitions and the Kronecker product operator for synchronized transitions. Even though the interactions among subsystems, which are captured by synchronized transitions, need not be weak, numerical experiments indicate that the solver benefits considerably from weak interactions among subsystems, and is to be recommended specifically in this case. © 2008, Kent State University.

Duke Authors

Cited Authors

  • Bao, Y; Bozkur, IN; Dayar, T; Sun, X; Trivedi, KS

Published Date

  • December 1, 2008

Published In

Volume / Issue

  • 31 /

Start / End Page

  • 271 - 294

Electronic International Standard Serial Number (EISSN)

  • 1068-9613

Citation Source

  • Scopus