Article ID Journal Published Year Pages File Type
4623911 Journal of Mathematical Analysis and Applications 2006 14 Pages PDF
Abstract

In this paper, we investigate duality and Feller–Reuter–Riley (FRR) property of continuous-time Markov chains (CTMCs). A criterion of dual q-functions is given in terms of their q-matrices. For a dual q-matrix Q, a necessary and sufficient conditions for the minimal Q-function to be a FRR transition function are also given. Finally, by using dual technique, we give a criterion of FRR Q-functions when Q is monotone.

Related Topics
Physical Sciences and Engineering Mathematics Analysis