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Extension of the loss probability formula to an overloaded queue with impatient customers
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kim, Bara | - |
| dc.contributor.author | Kim, Jeongsim | - |
| dc.date.accessioned | 2021-09-02T13:58:13Z | - |
| dc.date.available | 2021-09-02T13:58:13Z | - |
| dc.date.created | 2021-06-16 | - |
| dc.date.issued | 2018-03 | - |
| dc.identifier.issn | 0167-7152 | - |
| dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/76808 | - |
| dc.description.abstract | We consider a batch arrival M-X/G/1 queue with impatient customers. The loss probability is expressed in terms of the stationary waiting time distribution for the standard M-X/G/1 queue with no impatience. But this expression is only applicable when the offered load rho is less than 1. We give a formula for the loss probability applicable for any values of rho > 0, by proving that the loss probability is analytic in rho on (0, infinity) through a Girsanov-type change of measure. (C) 2017 Elsevier B.V. All rights reserved. | - |
| dc.language | English | - |
| dc.language.iso | en | - |
| dc.publisher | ELSEVIER SCIENCE BV | - |
| dc.title | Extension of the loss probability formula to an overloaded queue with impatient customers | - |
| dc.type | Article | - |
| dc.contributor.affiliatedAuthor | Kim, Bara | - |
| dc.identifier.doi | 10.1016/j.spl.2017.10.007 | - |
| dc.identifier.scopusid | 2-s2.0-85034592459 | - |
| dc.identifier.wosid | 000425197600008 | - |
| dc.identifier.bibliographicCitation | STATISTICS & PROBABILITY LETTERS, v.134, pp.54 - 62 | - |
| dc.relation.isPartOf | STATISTICS & PROBABILITY LETTERS | - |
| dc.citation.title | STATISTICS & PROBABILITY LETTERS | - |
| dc.citation.volume | 134 | - |
| dc.citation.startPage | 54 | - |
| dc.citation.endPage | 62 | - |
| dc.type.rims | ART | - |
| dc.type.docType | Article | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Statistics & Probability | - |
| dc.subject.keywordAuthor | Impatient customers | - |
| dc.subject.keywordAuthor | Loss probability | - |
| dc.subject.keywordAuthor | Girsanov-type change of measure | - |
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