Date of Award
1-1-2012
Thesis Type
phd
Document Type
Thesis
Divisions
science
Department
Institute of Mathematical Sciences
Institution
University of Malaya
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.
Note
Thesis submitted in fulfillment of the requirement for the degree of Doctor of Philosophy
Recommended Citation
Soo, Huei Ching, "Queue length and waiting time distributions in a system of M dependent queues / Soo Huei Ching" (2012). Student Works (2010-2019). 1003.
https://knova.um.edu.my/student_works_2010s/1003
3887-CHAPTER_2.1-_2.5.pdf (1023 kB)
3887-CHAPTER_2.6_-_2.10.pdf (1740 kB)
3887-CHAPTER_3.pdf (493 kB)
3887-CHAPTER_4.pdf (435 kB)
3887-CHAPTER_5.pdf (737 kB)
3887-CONCLUDING_REMARKS,_APPENDICES,_REFERENCES.pdf (2571 kB)