| dc.contributor.advisor | 陸行 | zh_TW |
| dc.contributor.author (Authors) | 曾凱弘 | zh_TW |
| dc.creator (作者) | 曾凱弘 | zh_TW |
| dc.date (日期) | 1996 | en_US |
| dc.date.accessioned | 28-四月-2016 09:56:13 (UTC+8) | - |
| dc.date.available | 28-四月-2016 09:56:13 (UTC+8) | - |
| dc.date.issued (上傳時間) | 28-四月-2016 09:56:13 (UTC+8) | - |
| dc.identifier (Other Identifiers) | B2002002530 | en_US |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/87114 | - |
| dc.description (描述) | 碩士 | zh_TW |
| dc.description (描述) | 國立政治大學 | zh_TW |
| dc.description (描述) | 應用數學系 | zh_TW |
| dc.description (描述) | 84751011 | zh_TW |
| dc.description.abstract (摘要) | We derive the MacLaurin series for the moments of the idle time with respect to the parameters in the service time and interarrival time distributions for a GI/G/I queue. The light traffic derivatives are obtained to investigate the quality of a well-known MacLaurin series. The coefficients in these series are expressed in terms of the derivatives of the interarrival time density function evaluated at zero and the moments of the service time distribution, which can be easily calculated through a simple recursive procedure. The result for the idle period is easily taken as input to the calculation of other performance measures of the system, e.g., interdeparture time distributions. Numerical examples are given to illustrate these results. | en_US |
| dc.description.tableofcontents | Contents Abstract 1. Introduction 1.1 Research Background-----1 1.2 Literature Review-----3 2. GI/G/1 Interdeparture Time Analysis 2.1 The Moments of the Interdeparture Time-----5 2.2 Examples-----9 2.3 The Relation Between Waiting Time and Idle Time-----11 2.4 The Range of θ-----13 3. GI/G/1 Idle Time Analysis 3.1 The Moments of the Idle Time-----15 3.2 Square Coefficient of the Variation of the Idle Time-----17 4. The Light Traffic Derivatives 4.1 The Light Traffic Derivatives of the Flow Time and Waiting Time20 4.2 The Light Traffic Derivatives of the Interdeaprture Time and Idle Time-----22 4.3 Examples-----24 5. Conclusion-----27 References-----28 Appendix 1-----30 Appendix 2-----31 Appendix 3-----32 | zh_TW |
| dc.source.uri (資料來源) | http://thesis.lib.nccu.edu.tw/record/#B2002002530 | en_US |
| dc.subject (關鍵詞) | queueing theory | en_US |
| dc.subject (關鍵詞) | idle time distribution | en_US |
| dc.subject (關鍵詞) | light traffic | en_US |
| dc.title (題名) | The maclaurin series for the moments of performance measures in a GI/G/1 queue | en_US |
| dc.type (資料類型) | thesis | en_US |
