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| Field |
Value |
| Title: | Matrix Geometric Analysis of Departure Processes of Queues with Applications to a Pull Serial Line |
| Authors: | 陸行
Luh,Hsing |
| 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 |
| DCField |
Value |
Language |
| dc.contributor (Contributor) | 應數系 | en_US |
| dc.creator (Authors) | 陸行 | zh_TW |
| dc.creator (Authors) | Luh,Hsing | en_US |
| dc.date (Date) | 2010.09 | en_US |
| dc.date.accessioned | 2014-08-05 16:31:19 (UTC+8) | - |
| dc.date.available | 2014-08-05 16:31:19 (UTC+8) | - |
| dc.date.issued (Issue Date) | 2014-08-05 16:31:19 (UTC+8) | - |
| dc.identifier.uri (URI) | http://nccur.lib.nccu.edu.tw/handle/140.119/68179 | - |
| dc.description.abstract (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. | en_US |
| dc.format.extent | 128 bytes | - |
| dc.format.mimetype | text/html | - |
| dc.language.iso | en_US | - |
| dc.relation (Relation) | International Journal of Operations Research,7(2),1-18 | en_US |
| dc.title (Title) | Matrix Geometric Analysis of Departure Processes of Queues with Applications to a Pull Serial Line | en_US |
| dc.type (Data Type) | article | en |
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