| Article ID: | iaor19981832 |
| Country: | Japan |
| Volume: | 40 |
| Issue: | 3 |
| Start Page Number: | 390 |
| End Page Number: | 400 |
| Publication Date: | Sep 1997 |
| Journal: | Journal of the Operations Research Society of Japan |
| Authors: | Keilson Julian, Masuda Yasushi |
| Keywords: | queues: theory |
This paper shows that row-continuous Markov chains with one or two boundaries have transient probabilities with matrix-geometric structure. Also explored is the relationship between the Green's function method and the matrix-geometric method of Neuts. A full probabilistic interpretation of transient rate matrices is given.