Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching
Consider a system of M Hypo(2)/Hypo(2)/1 queues of which the dependence relation is specified via an interaction scheme. Two types of interaction scheme are considered. We proposed a method for deriving the stationary joint queue length distributions, and the stationary waiting time distribution, of...
| _version_ | 1848772523812978688 |
|---|---|
| author | Soo, Huei Ching |
| author_facet | Soo, Huei Ching |
| author_sort | Soo, Huei Ching |
| building | UM Research Repository |
| collection | Online Access |
| description | Consider a system of M Hypo(2)/Hypo(2)/1 queues of which the dependence relation is specified via an interaction scheme. Two types of interaction scheme are considered. We proposed a method for deriving the stationary joint queue length distributions, and the stationary waiting time distribution, of a customer seeking service in a given queue. The proposed method has also been adapted to find the stationary joint queue length distribution in a system of two dependent Hypo(2)/Hypo(2)/c/c queues. The numerical results found by using the proposed method agree well with those based on simulation. |
| first_indexed | 2025-11-14T13:27:52Z |
| format | Thesis |
| id | um-3887 |
| institution | University Malaya |
| institution_category | Local University |
| last_indexed | 2025-11-14T13:27:52Z |
| publishDate | 2012 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | um-38872013-09-10T04:39:29Z Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching Soo, Huei Ching QA Mathematics Consider a system of M Hypo(2)/Hypo(2)/1 queues of which the dependence relation is specified via an interaction scheme. Two types of interaction scheme are considered. We proposed a method for deriving the stationary joint queue length distributions, and the stationary waiting time distribution, of a customer seeking service in a given queue. The proposed method has also been adapted to find the stationary joint queue length distribution in a system of two dependent Hypo(2)/Hypo(2)/c/c queues. The numerical results found by using the proposed method agree well with those based on simulation. 2012 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/3887/1/1._Title_page%2C_abstract%2C_content.pdf application/pdf http://studentsrepo.um.edu.my/3887/2/CHAPTER_1.pdf application/pdf http://studentsrepo.um.edu.my/3887/3/CHAPTER_2.1%2D_2.5.pdf application/pdf http://studentsrepo.um.edu.my/3887/4/CHAPTER_2.6_%2D_2.10.pdf application/pdf http://studentsrepo.um.edu.my/3887/5/CHAPTER_3.pdf application/pdf http://studentsrepo.um.edu.my/3887/6/CHAPTER_4.pdf application/pdf http://studentsrepo.um.edu.my/3887/7/CHAPTER_5.pdf application/pdf http://studentsrepo.um.edu.my/3887/8/CONCLUDING_REMARKS%2C_APPENDICES%2C_REFERENCES.pdf http://pendeta.um.edu.my/client/default/search/results?qu=Queue+length+and+waiting+time+distributions+in+a+system+of+M+dependent+queues&te= Soo, Huei Ching (2012) Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching. PhD thesis, University of Malaya. http://studentsrepo.um.edu.my/3887/ |
| spellingShingle | QA Mathematics Soo, Huei Ching Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching |
| title | Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching |
| title_full | Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching |
| title_fullStr | Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching |
| title_full_unstemmed | Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching |
| title_short | Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching |
| title_sort | queue length and waiting time distributions in a system of m dependent queues / soo huei ching |
| topic | QA Mathematics |
| url | http://pendeta.um.edu.my/client/default/search/results?qu=Queue+length+and+waiting+time+distributions+in+a+system+of+M+dependent+queues&te= http://pendeta.um.edu.my/client/default/search/results?qu=Queue+length+and+waiting+time+distributions+in+a+system+of+M+dependent+queues&te= http://studentsrepo.um.edu.my/3887/1/1._Title_page%2C_abstract%2C_content.pdf http://studentsrepo.um.edu.my/3887/2/CHAPTER_1.pdf http://studentsrepo.um.edu.my/3887/3/CHAPTER_2.1%2D_2.5.pdf http://studentsrepo.um.edu.my/3887/4/CHAPTER_2.6_%2D_2.10.pdf http://studentsrepo.um.edu.my/3887/5/CHAPTER_3.pdf http://studentsrepo.um.edu.my/3887/6/CHAPTER_4.pdf http://studentsrepo.um.edu.my/3887/7/CHAPTER_5.pdf http://studentsrepo.um.edu.my/3887/8/CONCLUDING_REMARKS%2C_APPENDICES%2C_REFERENCES.pdf |