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| Authors | I. Adan, C. Hurkens, G. Weiss | | Title | A reversible Erlang loss system with multitype customers and multitype servers |
| Journal | Probability in the Engineering and Informational Sciences |
| Volume | 24 |
| Year | 2010 |
| Issue | 4 |
| Pages | 536-548 |
| ISSN | 02699648 |
| Faculty | Faculty of Economics and Business |
| Institute/dept. | FEB: Research Institute in Economics and Econometrics Amsterdam (RESAM) |
| Abstract | We consider a memoryless Erlang loss system with servers S = {1, …, J}, and with customer types C = {1, …, I}. Servers are multitype, so that server j can serve a subset of customer types C(j). We show that the probabilities of assigning arriving customers to idle servers can be chosen in such a way that the Markov process describing the system is reversible, with a simple product form stationary distribution. Furthermore, the system is insensitive; these properties are preserved for general service time distributions. |
| Document type | Article |
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