2026-09-20T08:28:48Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/78538 2023-07-11 col_2142_5131 col_2142_8888 com_2142_5130 com_2142_8887 com_2142_234

Yao, Yuan 2015-07-22T22:18:03Z 2015-07-22T22:18:03Z 2015-05 2015-04-30 This thesis analyzes an example of a resource allocating fluid queuing system. Fluid queuing models are widely used these days in describing the performance of network switches, routers and so on. Some works focus on the description of fluid queue in terms of probability. However, in this thesis, we focus on finding the optimal control policy using simulation. Stochastic differential equations play an important role in the problem formulation and simulation. We prove that strict mathematical expression of optimal control is hard to come up with when the controller is part of the stochastic differential equation. Thus, simulation is used to find optimal control for an example system, which is defined in the thesis. Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2015-07-22 without embargo terms The student, Yuan Yao, accepted the attached license on 2015-04-29 at 06:34. 2015-5 The student, Yuan Yao, submitted this Thesis for approval on 2015-04-29 at 06:40. This Thesis was approved for publication on 2015-04-30 at 10:16. DSpace SAF Submission Ingestion Package generated from Vireo submission #8174 on 2015-07-22 at 10:34:41 Made available in DSpace on 2015-07-22T22:18:03Z (GMT). No. of bitstreams: 2 YAO-THESIS-2015.pdf: 1281137 bytes, checksum: 12a748b716f56c8c5f6b4e88f4a7f150 (MD5) LICENSE.txt: 4205 bytes, checksum: dee66116ae69251d27465d315f4029bf (MD5) Previous issue date: 2015-04-30 application/pdf http://hdl.handle.net/2142/78538 en Copyright 2015 Yuan Yao Fluid queues Stochastic differential equations Simulation studies of a fluid queuing system text text Electrical & Computer Eng Electrical & Computer Engr University of Illinois at Urbana-Champaign Thesis M.S.