Lack of invariant property of the Erlang loss model in case of MAP input (Q1775811)
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scientific article; zbMATH DE number 2165003
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lack of invariant property of the Erlang loss model in case of MAP input |
scientific article; zbMATH DE number 2165003 |
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Lack of invariant property of the Erlang loss model in case of MAP input (English)
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4 May 2005
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The invariant property of the M/G/N/0 says that its stationary state distribution is the same as the one in the M/M/N/0 queue conditioned that the average service times in both models coincide. The authors answer the question, whether the model BMAP/PH/N/0 is invariant with respect to the service time distribution. A negative answer is obtained as a corollary of numerical investigation of the system. Special attention is paid to the loss probability.
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