| Presentation | 2008-09-11 A Diffusion Process Approximation for the GI/GI/1 Round-Robin System Kentaro HOSHI, Sumito IIJIMA, Yoshitaka TAKAHASHI, Naohisa KOMATSU, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | As Kleinrock has pointed out, perhaps the most well-known and widely used scheduling for sharing a CPU or server is the round-robin (RR) algorithm, where a user (customer, job, packet, cell, block, and task) will require one quantum (or several quanta) of its service time. Tele-traffic modeling the RR system leads to a single-server infinite-capacity queueing system. Under Poisson arrival input, there is much literature on the RR queueing analyses. However, there is almost no literature on the GI/GI/1 RR queue. In this talk, we consider Model A where the number of feedbacks is (pre-assigned and) generally distributes. We also consider Model B where the feedback will be determined (post-assigned) after the quantum service; the customer joins the tail of the queue with probability p, while the customer leaves the system with probability 1-p. We present the mean performance measures (e.q. the mean number of customers) by using a diffusion process approximation. We confirm the accuracy of the approximation via by computing simulation results |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | GI/GI/1 system / Feedback system / Round-Robin / Diffusion Approximation / Bernoulli |
| Paper # | IN2008-44 |
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| Committee | IN |
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| Conference Date | 2008/9/4(1days) |
| Place (in Japanese) | (See Japanese page) |
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| Topics (in Japanese) | (See Japanese page) |
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| 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) | A Diffusion Process Approximation for the GI/GI/1 Round-Robin System |
| Sub Title (in English) | |
| Keyword(1) | GI/GI/1 system |
| Keyword(2) | Feedback system |
| Keyword(3) | Round-Robin |
| Keyword(4) | Diffusion Approximation |
| Keyword(5) | Bernoulli |
| 1st Author's Name | Kentaro HOSHI |
| 1st Author's Affiliation | Faculty of Fundamental Science and Engineering, Waseda University() |
| 2nd Author's Name | Sumito IIJIMA |
| 2nd Author's Affiliation | Faculty of Fundamental Science and Engineering, Waseda University |
| 3rd Author's Name | Yoshitaka TAKAHASHI |
| 3rd Author's Affiliation | Faculty of Commerce, Waseda University |
| 4th Author's Name | Naohisa KOMATSU |
| 4th Author's Affiliation | Faculty of Fundamental Science and Engineering, Waseda University |
| Date | 2008-09-11 |
| Paper # | IN2008-44 |
| Volume (vol) | vol.108 |
| Number (no) | 204 |
| Page | pp.pp.- |
| #Pages | 1 |
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