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    政大機構典藏 > 理學院 > 應用數學系 > 學位論文 >  Item 140.119/87114


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    题名: The maclaurin series for the moments of performance measures in a GI/G/1 queue
    作者: 曾凱弘
    贡献者: 陸行
    曾凱弘
    关键词: queueing theory
    idle time distribution
    light traffic
    日期: 1996
    上传时间: 2016-04-28 09:56:13 (UTC+8)
    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.
    描述: 碩士
    國立政治大學
    應用數學系
    84751011
    資料來源: http://thesis.lib.nccu.edu.tw/record/#B2002002530
    数据类型: thesis
    显示于类别:[應用數學系] 學位論文

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