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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Takahashi, Y. Shikata, Y. Frey, A. |
| Copyright Year | 2009 |
| Description | Author affiliation: Faculty of Commerce Waseda University, Tokyo 169-8050, Japan (Takahashi, Y.) || Faculty of Informatics for Arts Shobi University, Saitama 350-1133, Japan (Shikata, Y.) || Faculty of Business Management and Social Sciences University of Applied Sciences Osnabrueck, 49076, Germany (Frey, A.) |
| Abstract | We consider a single-server GI/G/1 queueing system with modified service mechanism. By modified service mechanism, we mean that the service time distribution (H0) for the customers arriving to find the system idle may be different from the service time distribution (H1) for the customers arriving to find the system busy. We present qualitative relationships among the performance measures in the system. Approximating the virtual waiting time process via the diffusion process and combining the qualitative relationships, we propose a new approximate formula for the mean performance measures. For special cases, our approximation is seen to be consistent with the previously-obtained exact results for the M/G/1 queueing system with modified service mechanism, and it is further seen to be consistent with the previously-proposed approximate results for the GI/GI/1 queueing system with standard ( H0 = H1 ) service mechanism. |
| Starting Page | 1 |
| Ending Page | 6 |
| File Size | 249508 |
| Page Count | 6 |
| File Format | |
| ISBN | 9781424439423 |
| DOI | 10.1109/ICUMT.2009.5345501 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-10-12 |
| Publisher Place | Russia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Diffusion approximation Modified service mechanism Art Virtual waiting time process Diffusion processes Time measurement Elementary return (ER) boundary Machinery System buses Performance analysis Informatics Erbium Queueing analysis Business G/G/1 |
| Content Type | Text |
| Resource Type | Article |
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