Adelaide Research & Scholarship
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https://hdl.handle.net/2440/475
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| Type: | Journal article |
| Title: | The Output Process of an MMPP/M/1 Queue |
| Author: | Bean, N. Green, D. Taylor, P. |
| Citation: | Journal of Applied Probability, 1998; 35(4):998-1002 |
| Publisher: | APPLIED PROBABILITY TRUST |
| Issue Date: | 1998 |
| ISSN: | 0021-9002 1475-6072 |
| Abstract: | <jats:p>Olivier and Walrand (1994) claimed that the departure process of an <jats:italic>MMPP/M/1</jats:italic> queue is not an MAP unless the queue is a stationary <jats:italic>M/M/1</jats:italic> queue. They also conjectured that the departure process of an <jats:italic>MAP/PH/1</jats:italic> queue is not an MAP unless the queue is a stationary <jats:italic>M/M/1</jats:italic> queue. We show that their proof of the first result has an algebraic error, which leaves open the above question of whether the departure process of an <jats:italic>MMPP/M/1</jats:italic> can be an MAP.</jats:p> |
| DOI: | 10.1239/jap/1032438394 |
| Published version: | http://www.jstor.org/browse/00219002 |
| Appears in Collections: | Applied Mathematics publications Aurora harvest 6 Environment Institute publications |
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