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題名 Matrix Geometric Analysis of Departure Processes of Queues with Applications to a Pull Serial Line
作者 陸行
Luh,Hsing
貢獻者 應數系
日期 2010.09
上傳時間 5-Aug-2014 16:31:19 (UTC+8)
摘要 In this paper, we focus on the behavior of a queue in a pull serial line at a throughput process under correlated demands. In order to compute the performance measures of the throughput process, we propose a numeric model and an algorithm which is an extension of the matrix geometric analysis method. By constructing a recursive procedure for calculating the joint distribution of an arbitrary number of consecutive interdeparture times in a PH/G/1/K queue, we obtain explicitly the covariance of nonadjacent interdeparture times, and display the correlation coefficients that reveal the long-range dependence. It confirms some structure properties and produces numerical examples for the lag-n autocorrelation of interdeparture times for several different demand distributions, exhibiting both positive and negative autocorrelation.
關聯 International Journal of Operations Research,7(2),1-18
資料類型 article
dc.contributor 應數系en_US
dc.creator (作者) 陸行zh_TW
dc.creator (作者) Luh,Hsingen_US
dc.date (日期) 2010.09en_US
dc.date.accessioned 5-Aug-2014 16:31:19 (UTC+8)-
dc.date.available 5-Aug-2014 16:31:19 (UTC+8)-
dc.date.issued (上傳時間) 5-Aug-2014 16:31:19 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/68179-
dc.description.abstract (摘要) In this paper, we focus on the behavior of a queue in a pull serial line at a throughput process under correlated demands. In order to compute the performance measures of the throughput process, we propose a numeric model and an algorithm which is an extension of the matrix geometric analysis method. By constructing a recursive procedure for calculating the joint distribution of an arbitrary number of consecutive interdeparture times in a PH/G/1/K queue, we obtain explicitly the covariance of nonadjacent interdeparture times, and display the correlation coefficients that reveal the long-range dependence. It confirms some structure properties and produces numerical examples for the lag-n autocorrelation of interdeparture times for several different demand distributions, exhibiting both positive and negative autocorrelation.en_US
dc.format.extent 128 bytes-
dc.format.mimetype text/html-
dc.language.iso en_US-
dc.relation (關聯) International Journal of Operations Research,7(2),1-18en_US
dc.title (題名) Matrix Geometric Analysis of Departure Processes of Queues with Applications to a Pull Serial Lineen_US
dc.type (資料類型) articleen