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Please use this identifier to cite or link to this item: https://ah.lib.nccu.edu.tw/handle/140.119/87114
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dc.contributor.advisor陸行zh_TW
dc.contributor.author曾凱弘zh_TW
dc.creator曾凱弘zh_TW
dc.date1996en_US
dc.date.accessioned2016-04-28T01:56:13Z-
dc.date.available2016-04-28T01:56:13Z-
dc.date.issued2016-04-28T01:56:13Z-
dc.identifierB2002002530en_US
dc.identifier.urihttp://nccur.lib.nccu.edu.tw/handle/140.119/87114-
dc.description碩士zh_TW
dc.description國立政治大學zh_TW
dc.description應用數學系zh_TW
dc.description84751011zh_TW
dc.description.abstractWe 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.tableofcontentsContents\r\nAbstract\r\n1. Introduction\r\n 1.1 Research Background-----1\r\n 1.2 Literature Review-----3\r\n\r\n2. GI/G/1 Interdeparture Time Analysis\r\n 2.1 The Moments of the Interdeparture Time-----5\r\n 2.2 Examples-----9\r\n 2.3 The Relation Between Waiting Time and Idle Time-----11\r\n 2.4 The Range of θ-----13\r\n\r\n3. GI/G/1 Idle Time Analysis\r\n 3.1 The Moments of the Idle Time-----15\r\n 3.2 Square Coefficient of the Variation of the Idle Time-----17\r\n\r\n4. The Light Traffic Derivatives\r\n 4.1 The Light Traffic Derivatives of the Flow Time and Waiting Time20\r\n 4.2 The Light Traffic Derivatives of the Interdeaprture Time and Idle Time-----22\r\n 4.3 Examples-----24\r\n5. Conclusion-----27\r\n\r\nReferences-----28\r\n\r\nAppendix 1-----30\r\nAppendix 2-----31\r\nAppendix 3-----32zh_TW
dc.source.urihttp://thesis.lib.nccu.edu.tw/record/#B2002002530en_US
dc.subjectqueueing theoryen_US
dc.subjectidle time distributionen_US
dc.subjectlight trafficen_US
dc.titleThe maclaurin series for the moments of performance measures in a GI/G/1 queueen_US
dc.typethesisen_US
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item.openairecristypehttp://purl.org/coar/resource_type/c_46ec-
item.cerifentitytypePublications-
item.grantfulltextopen-
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