Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/95504
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Logistics and Maritime Studies | en_US |
dc.creator | Lee, C | en_US |
dc.creator | Ward, AR | en_US |
dc.creator | Ye, HQ | en_US |
dc.date.accessioned | 2022-09-20T10:19:04Z | - |
dc.date.available | 2022-09-20T10:19:04Z | - |
dc.identifier.issn | 0257-0130 | en_US |
dc.identifier.uri | http://hdl.handle.net/10397/95504 | - |
dc.language.iso | en | en_US |
dc.publisher | Springer New York LLC | en_US |
dc.rights | © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021 | en_US |
dc.rights | This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use (https://www.springernature.com/gp/open-research/policies/accepted-manuscript-terms), but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s11134-021-09716-9. | en_US |
dc.subject | Customer abandonment | en_US |
dc.subject | Heavy traffic | en_US |
dc.subject | Stationary distribution convergence | en_US |
dc.title | Stationary distribution convergence of the offered waiting processes in heavy traffic under general patience time scaling | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 283 | en_US |
dc.identifier.epage | 303 | en_US |
dc.identifier.volume | 99 | en_US |
dc.identifier.issue | 3-4 | en_US |
dc.identifier.doi | 10.1007/s11134-021-09716-9 | en_US |
dcterms.abstract | We study a sequence of single server queues with customer abandonment (GI/GI/1+GI) under heavy traffic. The patience time distributions vary with the sequence, which allows for a wider scope of applications. It is known Lee and Weerasinghe (Stochastic Process Appl 121(11):2507–2552, 2011) and Reed and Ward (Math Oper Res 33(3):606–644, 2008) that the sequence of scaled offered waiting time processes converges weakly to a reflecting diffusion process with nonlinear drift, as the traffic intensity approaches one. In this paper, we further show that the sequence of stationary distributions and moments of the offered waiting times, with diffusion scaling, converge to those of the limit diffusion process. This justifies the stationary performance of the diffusion limit as a valid approximation for the stationary performance of the GI/GI/1+GI queue. Consequently, we also derive the approximation for the abandonment probability for the GI/GI/1+GI queue in the stationary state. | en_US |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Queueing systems, Dec. 2021, v. 99, no. 3-4, p. 283-303 | en_US |
dcterms.isPartOf | Queueing systems | en_US |
dcterms.issued | 2021-12 | - |
dc.identifier.isi | WOS:000684489600001 | - |
dc.identifier.scopus | 2-s2.0-85112349141 | - |
dc.identifier.eissn | 1572-9443 | en_US |
dc.description.validate | 202209 bckw | en_US |
dc.description.oa | Accepted Manuscript | en_US |
dc.identifier.FolderNumber | LMS-0010 | - |
dc.description.fundingSource | Others | en_US |
dc.description.fundingText | Hong Kong Polytechnic University | en_US |
dc.description.pubStatus | Published | en_US |
dc.identifier.OPUS | 55189616 | - |
dc.description.oaCategory | Green (AAM) | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Ye_Stationary_Distribution_Convergence.pdf | Pre-Published version | 363.34 kB | Adobe PDF | View/Open |
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