A Markov-modulated fluid flow queueing model under D-policy
We consider a Markov-modulated fluid flow queueing model under D-policy. As soon as the fluid level reaches zero, the server becomes idle. During the idle period, fluid arrives from outside according to an underlying continuous time Markov chain (UMC) and the idle server does not process the fluid....
| Main Authors: | , , , |
|---|---|
| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
|
| Online Access: | https://hdl.handle.net/10356/96923 http://hdl.handle.net/10220/10393 |
| _version_ | 1811687764003913728 |
|---|---|
| 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 | We consider a Markov-modulated fluid flow queueing model under D-policy. As soon as the fluid level reaches zero, the server becomes idle. During the idle period, fluid arrives from outside according to an underlying continuous time Markov chain (UMC) and the idle server does not process the fluid. We consider two increase patterns of fluid during the idle period: vertical increase (Type-V) and linear increase (Type-L). The idle server is reactivated only when the cumulative fluid level in the system exceeds a predetermined threshold value D. We derive the distributions of fluid level and mean performance measures for both types. We also present cost optimization model to minimize average operating cost per unit time. |
| first_indexed | 2024-10-01T05:21:29Z |
| format | Journal Article |
| id | ntu-10356/96923 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:21:29Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/969232020-03-07T13:22:14Z A Markov-modulated fluid flow queueing model under D-policy Baek, Jung Woo Lee, Ho Woo Lee, Se Won Ahn, Soohan School of Mechanical and Aerospace Engineering We consider a Markov-modulated fluid flow queueing model under D-policy. As soon as the fluid level reaches zero, the server becomes idle. During the idle period, fluid arrives from outside according to an underlying continuous time Markov chain (UMC) and the idle server does not process the fluid. We consider two increase patterns of fluid during the idle period: vertical increase (Type-V) and linear increase (Type-L). The idle server is reactivated only when the cumulative fluid level in the system exceeds a predetermined threshold value D. We derive the distributions of fluid level and mean performance measures for both types. We also present cost optimization model to minimize average operating cost per unit time. 2013-06-14T03:19:08Z 2019-12-06T19:36:40Z 2013-06-14T03:19:08Z 2019-12-06T19:36:40Z 2011 2011 Journal Article Baek, J. W., Lee, H. W., Lee, S. W., & Ahn, S. (2011). A Markov-modulated fluid flow queueing model under D-policy. Numerical Linear Algebra with Applications, 18(6), 993-1010. 1099-1506 https://hdl.handle.net/10356/96923 http://hdl.handle.net/10220/10393 10.1002/nla.811 173650 en Numerical linear algebra with applications © 2011 John Wiley & Sons, Ltd. |
| spellingShingle | Baek, Jung Woo Lee, Ho Woo Lee, Se Won Ahn, Soohan A Markov-modulated fluid flow queueing model under D-policy |
| title | A Markov-modulated fluid flow queueing model under D-policy |
| title_full | A Markov-modulated fluid flow queueing model under D-policy |
| title_fullStr | A Markov-modulated fluid flow queueing model under D-policy |
| title_full_unstemmed | A Markov-modulated fluid flow queueing model under D-policy |
| title_short | A Markov-modulated fluid flow queueing model under D-policy |
| title_sort | markov modulated fluid flow queueing model under d policy |
| url | https://hdl.handle.net/10356/96923 http://hdl.handle.net/10220/10393 |
| work_keys_str_mv | AT baekjungwoo amarkovmodulatedfluidflowqueueingmodelunderdpolicy AT leehowoo amarkovmodulatedfluidflowqueueingmodelunderdpolicy AT leesewon amarkovmodulatedfluidflowqueueingmodelunderdpolicy AT ahnsoohan amarkovmodulatedfluidflowqueueingmodelunderdpolicy AT baekjungwoo markovmodulatedfluidflowqueueingmodelunderdpolicy AT leehowoo markovmodulatedfluidflowqueueingmodelunderdpolicy AT leesewon markovmodulatedfluidflowqueueingmodelunderdpolicy AT ahnsoohan markovmodulatedfluidflowqueueingmodelunderdpolicy |