Semigroup Method on a MX/G/1 Queueing Model
By using the Hille-Yosida theorem, Phillips theorem, and Fattorini theorem in functional analysis we prove that the MX/G/1 queueing model with vacation times has a unique nonnegative time-dependent solution.
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/893254 |
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Article |
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doaj-f0a85ed0089c4f3db553600cc56666a72021-07-02T09:02:17ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/893254893254Semigroup Method on a MX/G/1 Queueing ModelAlim Mijit0Xinjiang Radio & TV University, Urumqi 830049, ChinaBy using the Hille-Yosida theorem, Phillips theorem, and Fattorini theorem in functional analysis we prove that the MX/G/1 queueing model with vacation times has a unique nonnegative time-dependent solution.http://dx.doi.org/10.1155/2013/893254 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alim Mijit |
| spellingShingle |
Alim Mijit Semigroup Method on a MX/G/1 Queueing Model Advances in Mathematical Physics |
| author_facet |
Alim Mijit |
| author_sort |
Alim Mijit |
| title |
Semigroup Method on a MX/G/1 Queueing Model |
| title_short |
Semigroup Method on a MX/G/1 Queueing Model |
| title_full |
Semigroup Method on a MX/G/1 Queueing Model |
| title_fullStr |
Semigroup Method on a MX/G/1 Queueing Model |
| title_full_unstemmed |
Semigroup Method on a MX/G/1 Queueing Model |
| title_sort |
semigroup method on a mx/g/1 queueing model |
| publisher |
Hindawi Limited |
| series |
Advances in Mathematical Physics |
| issn |
1687-9120 1687-9139 |
| publishDate |
2013-01-01 |
| description |
By using the Hille-Yosida theorem, Phillips theorem, and Fattorini theorem in functional analysis we prove that the MX/G/1 queueing model with vacation times has a unique nonnegative time-dependent solution. |
| url |
http://dx.doi.org/10.1155/2013/893254 |
| work_keys_str_mv |
AT alimmijit semigroupmethodonamxg1queueingmodel |
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1721333676466241536 |