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Title: Matrix Geometric Analysis of Departure Processes of Queues with Applications to a Pull Serial Line
Authors: 陸行
Contributors: 應數系
Date: 2010.09
Issue Date: 2014-08-05 16:31:19 (UTC+8)
Abstract: 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.
Relation: International Journal of Operations Research,7(2),1-18
Data Type: article
Appears in Collections:[應用數學系] 期刊論文

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