@inproceedings{9830ba076c10440d87c7c3f8b566eedc,

title = "On solving stochastic coupling matrices arising in iterative aggregation/disaggregation methods",

abstract = "Iterative aggregation/disaggregation (IAD) methods are powerful tools for solving Markov chain models whose transition probability matrices are nearly completely decomposable (NCD). Such models arise frequently during the performance and reliability analysis of computer and telecommunication systems. IAD methods require the solution of a stochastic coupling matrix whose elements denote transition probabilities among blocks. The coupling matrices are often large and in NCD models necessarily have diagonal elements close to one and small off-diagonal elements. This makes their solution by either iterative or direct methods rather difficult. In this paper we propose a modification of the coupling matrix that allows us to accurate and efficiently compute its stationary probability vector.",

author = "Stewart, {William J.} and A. Touzene",

year = "1994",

language = "English",

isbn = "0818652926",

series = "Proceedings of the IEEE International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems",

publisher = "Publ by IEEE",

pages = "255--262",

editor = "Vijay Madisetti and Erol Gelenbe and Jean Walrand",

booktitle = "Proceedings of the IEEE International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems",

note = "Proceedings of the 2nd International Workshop on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems ; Conference date: 31-01-1994 Through 02-02-1994",

}