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| Field |
Value |
| Title: | Estimating the Loss Probability under Heavy Traffic Conditions |
| Authors: | 陸行
Luh, Hsing Paul
Wang, Chia-Hung |
| Contributors: | 應數系 |
| Keywords: | Asymptotic analysis; Multiple-server queue; Loss probability; Heavy traffic |
| Date: | 2012.06 |
| Issue Date: | 2014-02-11 14:02:48 (UTC+8) |
| Abstract: | This paper studies a multiple-server queueing model under the assumptions of renewal arrival processes and limited buffer size. An approximation for the loss probability and the asymptotic behavior are studied under the heavy traffic conditions. We present an asymptotic analysis of the loss probability when both the arrival rate and number of servers approach infinity. In illustrative examples, the loss probabilities are estimated with heavy traffic under three common distributions of inter-arrival times: exponential, deterministic and Erlang-r distributions, respectively. |
| Relation: | Computers and Mathematics with Applications, 64(5), 1352-1363 |
| Data Type: | article |
| DOI: | http://dx.doi.org/10.1016/j.camwa.2012.03.081 |
| DCField |
Value |
Language |
| dc.contributor (Contributor) | 應數系 | en_US |
| dc.creator (Authors) | 陸行 | zh_TW |
| dc.creator (Authors) | Luh, Hsing Paul | en_US |
| dc.creator (Authors) | Wang, Chia-Hung | en_US |
| dc.date (Date) | 2012.06 | en_US |
| dc.date.accessioned | 2014-02-11 14:02:48 (UTC+8) | - |
| dc.date.available | 2014-02-11 14:02:48 (UTC+8) | - |
| dc.date.issued (Issue Date) | 2014-02-11 14:02:48 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/63787 | - |
| dc.description.abstract (Abstract) | This paper studies a multiple-server queueing model under the assumptions of renewal arrival processes and limited buffer size. An approximation for the loss probability and the asymptotic behavior are studied under the heavy traffic conditions. We present an asymptotic analysis of the loss probability when both the arrival rate and number of servers approach infinity. In illustrative examples, the loss probabilities are estimated with heavy traffic under three common distributions of inter-arrival times: exponential, deterministic and Erlang-r distributions, respectively. | en_US |
| dc.format.extent | 317635 bytes | - |
| dc.format.mimetype | application/pdf | - |
| dc.language.iso | en_US | - |
| dc.relation (Relation) | Computers and Mathematics with Applications, 64(5), 1352-1363 | en_US |
| dc.subject (Keywords) | Asymptotic analysis; Multiple-server queue; Loss probability; Heavy traffic | en_US |
| dc.title (Title) | Estimating the Loss Probability under Heavy Traffic Conditions | en_US |
| dc.type (Data Type) | article | en |
| dc.identifier.doi (DOI) | 10.1016/j.camwa.2012.03.081 | - |
| dc.doi.uri | http://dx.doi.org/10.1016/j.camwa.2012.03.081 | - |
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