| Presentation | 2012-11-07 Analysis for finite-source M/M/1 queue Seiya AZAGAMI, Sigeo IKEDA, Masato INOUE, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Queuing theory is a mathematical study of congestion phenomena in stochastic demand systems. In existing theory of M/M/1 queue, systems are analyzed at the steady state, assuming infinite source. However, this assumption sometimes causes large discrepancy in real systems. In this manuscript, we solve the problem strictly with finite-source. The solution, which is given in both recurrent and closed forms, enables the analysis of non-steady state systems. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Queue / M/M/1 / Catalan number / recurrence form / closed form |
| Paper # | IBISML2012-59 |
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| Conference Information | |
| Committee | IBISML |
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| Conference Date | 2012/10/31(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Registration To | Information-Based Induction Sciences and Machine Learning (IBISML) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Analysis for finite-source M/M/1 queue |
| Sub Title (in English) | |
| Keyword(1) | Queue |
| Keyword(2) | M/M/1 |
| Keyword(3) | Catalan number |
| Keyword(4) | recurrence form |
| Keyword(5) | closed form |
| 1st Author's Name | Seiya AZAGAMI |
| 1st Author's Affiliation | Department of Electrical Engineering and Bioscience, Graduate School of Advanced Science and Engineering, Waseda University() |
| 2nd Author's Name | Sigeo IKEDA |
| 2nd Author's Affiliation | Department of Electrical Engineering and Bioscience, Graduate School of Advanced Science and Engineering, Waseda University |
| 3rd Author's Name | Masato INOUE |
| 3rd Author's Affiliation | Department of Electrical Engineering and Bioscience, Graduate School of Advanced Science and Engineering, Waseda University |
| Date | 2012-11-07 |
| Paper # | IBISML2012-59 |
| Volume (vol) | vol.112 |
| Number (no) | 279 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |