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.
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Abstract
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.
| Item Type: | Thesis (PhD) |
|---|---|
| Additional Information: | Thesis submitted in fulfillment of the requirement for the degree of Doctor of Philosophy |
| Uncontrolled Keywords: | M dependent queues; Mathematical Sciences |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science |
| Depositing User: | Ms Rabiahtul Adauwiyah |
| Date Deposited: | 10 Apr 2013 16:55 |
| Last Modified: | 10 Sep 2013 12:39 |
| URI: | http://studentsrepo.um.edu.my/id/eprint/3887 |
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