Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns
We study spectral properties of the operator which corresponds to the M/G/1 retrial queueing model with server breakdowns and obtain that all points on the imaginary axis except zero belong to the resolvent set of the operator and 0 is not an eigenvalue of the operator. Our results show that the tim...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/890243 |
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| _version_ | 1832553384699232256 |
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| author | Ehmet Kasim Geni Gupur |
| author_facet | Ehmet Kasim Geni Gupur |
| author_sort | Ehmet Kasim |
| collection | DOAJ |
| description | We study spectral properties of the operator which corresponds to the M/G/1 retrial queueing model with server breakdowns and obtain that all points on the imaginary axis except zero belong to the resolvent set of the operator and 0 is not an eigenvalue of the operator. Our results show that the time-dependent solution of the model is probably strongly asymptotically stable. |
| format | Article |
| id | doaj-art-2f470d4b6a5047e0a1500f7bbf617144 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2f470d4b6a5047e0a1500f7bbf6171442025-02-03T05:54:06ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/890243890243Further Research on the M/G/1 Retrial Queueing Model with Server BreakdownsEhmet Kasim0Geni Gupur1College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaCollege of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, ChinaWe study spectral properties of the operator which corresponds to the M/G/1 retrial queueing model with server breakdowns and obtain that all points on the imaginary axis except zero belong to the resolvent set of the operator and 0 is not an eigenvalue of the operator. Our results show that the time-dependent solution of the model is probably strongly asymptotically stable.http://dx.doi.org/10.1155/2012/890243 |
| spellingShingle | Ehmet Kasim Geni Gupur Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns Journal of Applied Mathematics |
| title | Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns |
| title_full | Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns |
| title_fullStr | Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns |
| title_full_unstemmed | Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns |
| title_short | Further Research on the M/G/1 Retrial Queueing Model with Server Breakdowns |
| title_sort | further research on the m g 1 retrial queueing model with server breakdowns |
| url | http://dx.doi.org/10.1155/2012/890243 |
| work_keys_str_mv | AT ehmetkasim furtherresearchonthemg1retrialqueueingmodelwithserverbreakdowns AT genigupur furtherresearchonthemg1retrialqueueingmodelwithserverbreakdowns |