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政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 > Item 140.119/68191

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题名:	Characterizing the idle time of a nonexponential server system
作者:	陸行 Luh, Hsing Tseng, Kai-Hung
贡献者:	應數系
关键词:	Queueing theory;Idle time distribution;Light traffic
日期:	2004.12
上传时间:	2014-08-05 17:04:01 (UTC+8)
摘要:	Understanding the behavior of an idle time of a limited resource is the key to increase productivity in service operations. When the system consists of nonexponential properties of time distributions it becomes difficult to provide results for the general case. 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 G I/G/1 queue. The light traffic derivatives are obtained to investigate the quality of a well-known MacLaurin series. The expected error bound under this approach is identified. 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., cycle time or interdeparture time distributions. Numerical examples are given to illustrate these results.
關聯:	Mathematical Methods of Operations Research,60(3),379-397
数据类型:	article
DOI 連結:	http://dx.doi.org/001860400378
DOI:	10.1007/s001860400378
显示于类别:	[應用數學系] 期刊論文

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