| Presentation | 2001/10/12 Departure Process of the MAP/SM/1 Queue Shigeo SHIODA, |
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| PDF Download Page | PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We study the departure process of a single server queue with Markovian arrival input and Markov renewal service time. First, we derive the joint transform of departure time and the number of departures, from which we obtain alternate proof of Burke's classical result. Next, we establish several expressions for burstiness(variance) and correlation(covariance sequence) of the departure process. These expressions reveal that burstiness and correlation of the arrival process have very little impact on the departure process when a queueing system is heavily loaded. In contrast, both burstiness and correlation of the service-time process greatly affect those of the departure process regardless of the load of the system. Finally, we show that, even when an arrival process is short-range dependent, the departure process could has long-range dependence if the service-time process is long-range dependent. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | output process / queueing system / correlation / burstiness / MAP / long-range dependence |
| Paper # | IN2001-98 |
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| Conference Information | |
| Committee | IN |
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| Conference Date | 2001/10/12(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Information Networks (IN) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Departure Process of the MAP/SM/1 Queue |
| Sub Title (in English) | |
| Keyword(1) | output process |
| Keyword(2) | queueing system |
| Keyword(3) | correlation |
| Keyword(4) | burstiness |
| Keyword(5) | MAP |
| Keyword(6) | long-range dependence |
| 1st Author's Name | Shigeo SHIODA |
| 1st Author's Affiliation | Urban Environment Systems, Faculty of Engineering, Chiba University() |
| Date | 2001/10/12 |
| Paper # | IN2001-98 |
| Volume (vol) | vol.101 |
| Number (no) | 374 |
| Page | pp.pp.- |
| #Pages | 8 |
| Date of Issue | |