| Presentation | 2007-12-13 A Diffusion Process Approximation for the GI/GI/1 Queuing System with Time-out Scheme Kentaro HOSHI, Sumito IIJIMA, Yoshitaka TAKAHASHI, Naohisa KOMATSU, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | We consider a renewal input, general service time, single-server, infinite-capacity queuing system with generally distributed time-out scheme. We obtain two-moment formulas for the mean system performance measures (the mean number of customers in the system, the mean response time) by solving the diffusion (Fokker-Planck) equation subject to the reflecting barrier. Our tele-traffic model is reduces to the standard GI/GI/1 system if we do not take account of time-out scheme. Our performance measure formula is seen to be consistent with D.P. Heyman's formula for the GI/GI/1 system without time-out scheme. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | GI/GI/1 / time-out / traffic / non-Markov / diffusion process approximation |
| Paper # | IN2007-103 |
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| Conference Information | |
| Committee | IN |
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| Conference Date | 2007/12/6(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| 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) | A Diffusion Process Approximation for the GI/GI/1 Queuing System with Time-out Scheme |
| Sub Title (in English) | |
| Keyword(1) | GI/GI/1 |
| Keyword(2) | time-out |
| Keyword(3) | traffic |
| Keyword(4) | non-Markov |
| Keyword(5) | diffusion process approximation |
| 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 | 2007-12-13 |
| Paper # | IN2007-103 |
| Volume (vol) | vol.107 |
| Number (no) | 378 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |