Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging
We consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of Belgrade
2021-01-01
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| Series: | Yugoslav Journal of Operations Research |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432100003B.pdf |
| _version_ | 1818926706235277312 |
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| author | Bouchentouf Amina Angelika Boualem Mohamed Cherfaoui Mouloud Medjahri Latifa |
| author_facet | Bouchentouf Amina Angelika Boualem Mohamed Cherfaoui Mouloud Medjahri Latifa |
| author_sort | Bouchentouf Amina Angelika |
| collection | DOAJ |
| description | We consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the closed-form expressions of different system characteristics are derived. Finally, we present some numerical results in order to show the impact of the parameters of impatience timers on the performance measures of the system. |
| first_indexed | 2024-12-20T03:01:23Z |
| format | Article |
| id | doaj.art-4caa406defba47a1a2de6a6ea6ea98b7 |
| institution | Directory Open Access Journal |
| issn | 0354-0243 1820-743X |
| language | English |
| last_indexed | 2024-12-20T03:01:23Z |
| publishDate | 2021-01-01 |
| publisher | University of Belgrade |
| record_format | Article |
| series | Yugoslav Journal of Operations Research |
| spelling | doaj.art-4caa406defba47a1a2de6a6ea6ea98b72022-12-21T19:55:45ZengUniversity of BelgradeYugoslav Journal of Operations Research0354-02431820-743X2021-01-0131455757510.2298/YJOR200418003B0354-02432100003BVariant vacation queueing system with Bernoulli feedback, balking and server's states-dependent renegingBouchentouf Amina Angelika0Boualem Mohamed1Cherfaoui Mouloud2Medjahri Latifa3Department of Mathematics, Laboratory of Mathematics, Djillali Liabes University of Sidi Bel Abbes, Sidi Bel Abbes, AlgeriaResearch Unit LaMOS (Modeling and Optimization of Systems), Faculty of Technology, University of Bejaia, Bejaia, AlgeriaResearch Unit LaMOS (Modeling and Optimization of Systems), University of Bejaia, AlgeriaLaboratory of Mathematics, University of Sidi Bel Abbes, Algeria Abou Bekr Belkaid University of Tlemcen, Tlemcen, AlgeriaWe consider a single server Markovian feedback queue with variant of multiple vacation policy, balking, server’s states-dependent reneging, and retention of reneged customers. We obtain the steady-state solution of the considered queue based on the use of probability generating functions. Then, the closed-form expressions of different system characteristics are derived. Finally, we present some numerical results in order to show the impact of the parameters of impatience timers on the performance measures of the system.http://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432100003B.pdfqueueing modelsvacationimpatiencebernoulli feedbacksimulation. |
| spellingShingle | Bouchentouf Amina Angelika Boualem Mohamed Cherfaoui Mouloud Medjahri Latifa Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging Yugoslav Journal of Operations Research queueing models vacation impatience bernoulli feedback simulation. |
| title | Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging |
| title_full | Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging |
| title_fullStr | Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging |
| title_full_unstemmed | Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging |
| title_short | Variant vacation queueing system with Bernoulli feedback, balking and server's states-dependent reneging |
| title_sort | variant vacation queueing system with bernoulli feedback balking and server s states dependent reneging |
| topic | queueing models vacation impatience bernoulli feedback simulation. |
| url | http://www.doiserbia.nb.rs/img/doi/0354-0243/2021/0354-02432100003B.pdf |
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