Abstract
The idea is developed of imbedding a given Markov process in a more general Markov process in a definite sense, the sense of weak coupling. It is shown that this gives a natural theory of insensitivity in that, the stronger the balance conditions satisfied by the imbedded process, the weaker the conditions that are required of the imbedding process. The imbeddings associated with a range of balance conditions are discussed.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Cited by
23 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. Performance Modeling, Stochastic Networks, and Statistical Multiplexing, second edition;Synthesis Lectures on Communication Networks;2013-06-08
2. Stochastic Networks and Insensitivity;Synthesis Lectures on Learning, Networks, and Algorithms;2013
3. Equilibrium results for the M/G/k group-arrival loss system;TOP;2010-12-17
4. Insensitivity in Stochastic Models;International Series in Operations Research & Management Science;2010-11-15
5. Sample-path insensitivity of symmetric queues in discrete-time;Nonlinear Analysis: Theory, Methods & Applications;1997-12