| Article ID: | iaor19911121 |
| Country: | United States |
| Volume: | 6 |
| Start Page Number: | 714 |
| End Page Number: | 733 |
| Publication Date: | Nov 1990 |
| Journal: | Stochastic Models |
| Authors: | Ramaswami V., Asmussen S. |
| Keywords: | stochastic processes |
Recently, Ramaswami obtained a duality theorem for the Markov renewal processes arising as the matrix analogues of the classical M/G/1 and GI/M/1 queues. A new probabilistic proof of that result is provided here in terms of time reversal of sample paths of Markov renewal processes. The authors also provide a probabilistic proof for a duality theorem for phase type queues obtained earlier by Ramaswami and Neuts.