Please use this identifier to cite or link to this item:
https://ah.lib.nccu.edu.tw/handle/140.119/62717
DC Field | Value | Language |
---|---|---|
dc.contributor | 統計系 | en_US |
dc.creator | 姚怡慶 | zh_TW |
dc.creator | Yao,Yi-Ching | en_US |
dc.date | 2013.03 | en_US |
dc.date.accessioned | 2013-12-19T03:56:38Z | - |
dc.date.available | 2013-12-19T03:56:38Z | - |
dc.date.issued | 2013-12-19T03:56:38Z | - |
dc.identifier.uri | http://nccur.lib.nccu.edu.tw/handle/140.119/62717 | - |
dc.description.abstract | Sengupta (1989) showed that, for the first-come-first-served (FCFS) G/G/I queue, the workload and attained waiting time of a Customer in service have the same stationary distribution. Sakasegawa and Wolff (1990) derived a sample path version of this result, showing that the empirical distribution of the workload values over a busy period of a given sample path is identical to that of the attained waiting time values over the same period. For a given sample path of an FCFS GIG/s queue, we construct a dual sample path of a dual queue which is FCFS G/G/s in reverse time. It is shown that the workload process on the original sample path is identical to the total attained waiting time process on the dual sample path. As an application of this duality relation, we show that, for a time-stationary FCFS M/M/s/k queue, the workload process is equal in distribution to the time-reversed total attained waiting time process. | en_US |
dc.format.extent | 4680265 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | en_US | - |
dc.relation | Journal of Applied Probability, 50(1), 300-307 | en_US |
dc.subject | Duality ; reverse time ; sample path ; workload process | en_US |
dc.title | A duality relation between the workload and attained waiting time in FCFS G/G/s queues | en_US |
dc.type | article | en |
dc.identifier.doi | 10.1239/jap/1363784441 | en_US |
dc.doi.uri | http://dx.doi.org/10.1239/jap/1363784441 | en_US |
item.languageiso639-1 | en_US | - |
item.openairetype | article | - |
item.fulltext | With Fulltext | - |
item.grantfulltext | restricted | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | 期刊論文 |
Files in This Item:
File | Description | Size | Format | |
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300307.pdf | 4.57 MB | Adobe PDF2 | View/Open |
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