Limited processor sharing queues and multi-server queues

Invariant manifold;State space collapse;Measure valued process;Pimited processor pharing;Many server queue

Zhang, Jiheng ; Industrial and Systems Engineering

University:Georgia Institute of Technology

Department:Industrial and Systems Engineering

关键词: Invariant manifold;    State space collapse;    Measure valued process;    Pimited processor pharing;    Many server queue;   

Others  :  https://smartech.gatech.edu/bitstream/1853/34825/1/Zhang_Jiheng_200908_phd.pdf

美国|英语

来源: SMARTech Repository

【 摘 要 】

We study two classes of stochastic systems, the limited processor sharing system and the multi-server system.They share the common feature that multiple jobs/customers are being processed simultaneously, which makes the study of them intrinsically difficult.In the limited processor sharing system, a limited number ofjobs can equally share a single server, and the excess ones wait in a first-in-first-out buffer.The model is mainly motivated by computer related applications, such as database servers and packet transmission over the Internet. This model is studied in the first part of the thesis.The multi-server queue is mainly motivated by call centers, where each customer is handled by an agent. The number of customers being served at any time is limited by number of agents employed. Customers who can not be served upon arrival wait in a first-in-first-out buffer. This model is studied in the second part of the thesis.