A Discussion on the Optimality of Bulk Entry Queue with Differentiated Hiatuses
We consider Markovian differentiated hiatuses queues with bulk entries. With the help of the matrix geometric method, we discuss the stability condition for the existence of the steady-state solution of our model and we obtain the stationary system size by using a probability generating function. Th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wrocław University of Science and Technology
2022-01-01
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| Series: | Operations Research and Decisions |
| Online Access: | https://ord.pwr.edu.pl/assets/papers_archive/ord2022vol32no2_9.pdf |
| _version_ | 1818015729341956096 |
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| author | Manickam Vadivukarasi Kaliappan Kalidass |
| author_facet | Manickam Vadivukarasi Kaliappan Kalidass |
| author_sort | Manickam Vadivukarasi |
| collection | DOAJ |
| description | We consider Markovian differentiated hiatuses queues with bulk entries. With the help of the matrix geometric method, we discuss the stability condition for the existence of the steady-state solution of our model and we obtain the stationary system size by using a probability generating function. The stochastic decomposition form of stationary system size and the waiting time distribution of an arbitrary beneficiary are also analysed. Furthermore, we perform the expense analysis using the particle swarm optimization technique and we obtain the optimality of service rate and hiatus rate. Finally, we study the effects of changes in the parameters on some important performance measures of the system through numerical observations. (original abstract) |
| first_indexed | 2024-04-14T07:01:52Z |
| format | Article |
| id | doaj.art-df2df7e21e72428fa47b2746ebc1aba0 |
| institution | Directory Open Access Journal |
| issn | 2081-8858 2391-6060 |
| language | English |
| last_indexed | 2024-04-14T07:01:52Z |
| publishDate | 2022-01-01 |
| publisher | Wrocław University of Science and Technology |
| record_format | Article |
| series | Operations Research and Decisions |
| spelling | doaj.art-df2df7e21e72428fa47b2746ebc1aba02022-12-22T02:06:45ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602022-01-01vol. 32no. 2137150171649414A Discussion on the Optimality of Bulk Entry Queue with Differentiated HiatusesManickam Vadivukarasi0Kaliappan Kalidass1Karpagam Academy of Higher Education, Coimbatore, Tamil Nadu, IndiaKarpagam Academy of Higher Education, Coimbatore, Tamil Nadu, IndiaWe consider Markovian differentiated hiatuses queues with bulk entries. With the help of the matrix geometric method, we discuss the stability condition for the existence of the steady-state solution of our model and we obtain the stationary system size by using a probability generating function. The stochastic decomposition form of stationary system size and the waiting time distribution of an arbitrary beneficiary are also analysed. Furthermore, we perform the expense analysis using the particle swarm optimization technique and we obtain the optimality of service rate and hiatus rate. Finally, we study the effects of changes in the parameters on some important performance measures of the system through numerical observations. (original abstract)https://ord.pwr.edu.pl/assets/papers_archive/ord2022vol32no2_9.pdf |
| spellingShingle | Manickam Vadivukarasi Kaliappan Kalidass A Discussion on the Optimality of Bulk Entry Queue with Differentiated Hiatuses Operations Research and Decisions |
| title | A Discussion on the Optimality of Bulk Entry Queue with Differentiated Hiatuses |
| title_full | A Discussion on the Optimality of Bulk Entry Queue with Differentiated Hiatuses |
| title_fullStr | A Discussion on the Optimality of Bulk Entry Queue with Differentiated Hiatuses |
| title_full_unstemmed | A Discussion on the Optimality of Bulk Entry Queue with Differentiated Hiatuses |
| title_short | A Discussion on the Optimality of Bulk Entry Queue with Differentiated Hiatuses |
| title_sort | discussion on the optimality of bulk entry queue with differentiated hiatuses |
| url | https://ord.pwr.edu.pl/assets/papers_archive/ord2022vol32no2_9.pdf |
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