A workload factorization for BMAP/G/1 vacation queues under variable service speed
This paper proposes a simple factorization property for the workload distribution of the BMAP/G/1/ vacation queues under variable service speed. The server provides service at different service speeds depending on the phases of the underlying Markov chain. Using the factorization principle, the work...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/99964 http://hdl.handle.net/10220/18458 |
| _version_ | 1811677418274947072 |
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| author | Baek, Jung Woo Lee, Ho Woo Lee, Se Won Ahn, Soohan |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Baek, Jung Woo Lee, Ho Woo Lee, Se Won Ahn, Soohan |
| author_sort | Baek, Jung Woo |
| collection | NTU |
| description | This paper proposes a simple factorization property for the workload distribution of the BMAP/G/1/ vacation queues under variable service speed. The server provides service at different service speeds depending on the phases of the underlying Markov chain. Using the factorization principle, the workload distribution at any arbitrary time point can be easily derived only by obtaining the distribution during the idle period. We prove the factorization property and the moments formula. Lastly, we provide some applications of our factorization principle. |
| first_indexed | 2024-10-01T02:37:03Z |
| format | Journal Article |
| id | ntu-10356/99964 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T02:37:03Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/999642020-03-07T13:22:19Z A workload factorization for BMAP/G/1 vacation queues under variable service speed Baek, Jung Woo Lee, Ho Woo Lee, Se Won Ahn, Soohan School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mechanical engineering This paper proposes a simple factorization property for the workload distribution of the BMAP/G/1/ vacation queues under variable service speed. The server provides service at different service speeds depending on the phases of the underlying Markov chain. Using the factorization principle, the workload distribution at any arbitrary time point can be easily derived only by obtaining the distribution during the idle period. We prove the factorization property and the moments formula. Lastly, we provide some applications of our factorization principle. 2014-01-13T04:46:31Z 2019-12-06T20:14:05Z 2014-01-13T04:46:31Z 2019-12-06T20:14:05Z 2013 2013 Journal Article Baek, J. W., Lee, H. W., Lee, S. W., & Ahn, S. (2014). A workload factorization for BMAP/G/1 vacation queues under variable service speed. Operations Research Letters, 42(1), 58-63. https://hdl.handle.net/10356/99964 http://hdl.handle.net/10220/18458 10.1016/j.orl.2013.11.009 175174 en Operations research letters © 2013 Elsevier B.V. |
| spellingShingle | DRNTU::Engineering::Mechanical engineering Baek, Jung Woo Lee, Ho Woo Lee, Se Won Ahn, Soohan A workload factorization for BMAP/G/1 vacation queues under variable service speed |
| title | A workload factorization for BMAP/G/1 vacation queues under variable service speed |
| title_full | A workload factorization for BMAP/G/1 vacation queues under variable service speed |
| title_fullStr | A workload factorization for BMAP/G/1 vacation queues under variable service speed |
| title_full_unstemmed | A workload factorization for BMAP/G/1 vacation queues under variable service speed |
| title_short | A workload factorization for BMAP/G/1 vacation queues under variable service speed |
| title_sort | workload factorization for bmap g 1 vacation queues under variable service speed |
| topic | DRNTU::Engineering::Mechanical engineering |
| url | https://hdl.handle.net/10356/99964 http://hdl.handle.net/10220/18458 |
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