Single Server Repairable Queueing System With Variable Service Rate and Failure Rate
This paper studies the single server repairable queueing system with variable service rate and failure rate. The rule of variation of the service rate is that the service rate changes when the number of customers in the system reaches a certain value. The server may fail at any time, and the failure...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IEEE
2021-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/9309299/ |
| _version_ | 1828406302881087488 |
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| author | Shengli Lv Lingmin Zhu |
| author_facet | Shengli Lv Lingmin Zhu |
| author_sort | Shengli Lv |
| collection | DOAJ |
| description | This paper studies the single server repairable queueing system with variable service rate and failure rate. The rule of variation of the service rate is that the service rate changes when the number of customers in the system reaches a certain value. The server may fail at any time, and the failure rates of idle periods and busy periods are different. The system has one reliable repairman to repair the failure server. The steady-state joint distribution of the customers number and server states is obtained by the matrix geometric solution method, the steady-state availability of the server and significant queue performances measures are evaluated. Two special cases are analyzed, and some numerical experiments are given for the illustrations of the parameters effect. |
| first_indexed | 2024-12-10T11:09:44Z |
| format | Article |
| id | doaj.art-845f924b43af4814b06bfce0759e3e84 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-12-10T11:09:44Z |
| publishDate | 2021-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-845f924b43af4814b06bfce0759e3e842022-12-22T01:51:28ZengIEEEIEEE Access2169-35362021-01-0191233123910.1109/ACCESS.2020.30478159309299Single Server Repairable Queueing System With Variable Service Rate and Failure RateShengli Lv0https://orcid.org/0000-0003-1990-8310Lingmin Zhu1School of Science, Yanshan University, Qinhuangdao, ChinaSchool of Science, Yanshan University, Qinhuangdao, ChinaThis paper studies the single server repairable queueing system with variable service rate and failure rate. The rule of variation of the service rate is that the service rate changes when the number of customers in the system reaches a certain value. The server may fail at any time, and the failure rates of idle periods and busy periods are different. The system has one reliable repairman to repair the failure server. The steady-state joint distribution of the customers number and server states is obtained by the matrix geometric solution method, the steady-state availability of the server and significant queue performances measures are evaluated. Two special cases are analyzed, and some numerical experiments are given for the illustrations of the parameters effect.https://ieeexplore.ieee.org/document/9309299/Repairable queueing systemservice ratefailure rateavailabilitymatrix geometric solution |
| spellingShingle | Shengli Lv Lingmin Zhu Single Server Repairable Queueing System With Variable Service Rate and Failure Rate IEEE Access Repairable queueing system service rate failure rate availability matrix geometric solution |
| title | Single Server Repairable Queueing System With Variable Service Rate and Failure Rate |
| title_full | Single Server Repairable Queueing System With Variable Service Rate and Failure Rate |
| title_fullStr | Single Server Repairable Queueing System With Variable Service Rate and Failure Rate |
| title_full_unstemmed | Single Server Repairable Queueing System With Variable Service Rate and Failure Rate |
| title_short | Single Server Repairable Queueing System With Variable Service Rate and Failure Rate |
| title_sort | single server repairable queueing system with variable service rate and failure rate |
| topic | Repairable queueing system service rate failure rate availability matrix geometric solution |
| url | https://ieeexplore.ieee.org/document/9309299/ |
| work_keys_str_mv | AT shenglilv singleserverrepairablequeueingsystemwithvariableservicerateandfailurerate AT lingminzhu singleserverrepairablequeueingsystemwithvariableservicerateandfailurerate |