On a distribution of the process describing a service system with unreliable devices
| dc.contributor.author | Aliyev, Tofig M. | en_US |
| dc.contributor.author | Mamedov, Vagif M. | en_US |
| dc.contributor.author | Ibayev, Elshan A. | en_US |
| dc.date.accessioned | 2020-10-26T08:50:55Z | |
| dc.date.available | 2020-10-26T08:50:55Z | |
| dc.date.issued | 2019 | |
| dc.identifier.citation | Aliyev, T. M., Mamedov, V. M. & Ibayev, E. A. (2019). On a distribution of the process describing a service system with unreliable devices. TWMS Journal Of Applied And Engineering Mathematics, 9(2), 357-365. | en_US |
| dc.identifier.issn | 2146-1147 | en_US |
| dc.identifier.issn | 2587-1013 | en_US |
| dc.identifier.uri | http://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2724 | |
| dc.identifier.uri | http://jaem.isikun.edu.tr/web/index.php/archive/101-vol9no2/416 | |
| dc.description.abstract | In the paper, the distribution is found for the process {?t, ?t}, t ? 0, in the terms of Laplace transformation. The considered process describes the queuing system with nonhomogeneous Poisson stream of demands and n unreliable devices. It is essential that the process {?t, ?t}, t ? 0, for ?t ? n is a homogeneous with respect to the second component Markov process. The results obtained in the paper are based on the theory of matrices and solution of the system of linear integral equations. | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Işık University Press | en_US |
| dc.relation.ispartof | TWMS Journal Of Applied And Engineering Mathematics | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.rights | Attribution-NonCommercial-NoDerivs 3.0 United States | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/us/ | * |
| dc.subject | Poisson process | en_US |
| dc.subject | Laplace transformation | en_US |
| dc.subject | Generating function | en_US |
| dc.subject | Markov chain | en_US |
| dc.subject | Homogeneous with respect to the second component | en_US |
| dc.title | On a distribution of the process describing a service system with unreliable devices | en_US |
| dc.type | Article | en_US |
| dc.description.version | Publisher's Version | en_US |
| dc.identifier.volume | 9 | |
| dc.identifier.issue | 2 | |
| dc.identifier.startpage | 357 | |
| dc.identifier.endpage | 365 | |
| dc.peerreviewed | Yes | en_US |
| dc.publicationstatus | Published | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı | en_US |
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