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STRATEGIC AND TRANSITORY MODELS OF QUEUEING SYSTEMS
by
Harsha Honnappa
A Dissertation Presented to the
FACULTY OF THE USC GRADUATE SCHOOL
UNIVERSITY OF SOUTHERN CALIFORNIA
In Partial Fulfillment of the
Requirements for the Degree
DOCTOR OF PHILOSOPHY
(DEPARTMENT OF ELECTRICAL ENGINEERING)
December 2014
Copyright 2014 Harsha Honnappa
Object Description
| Title | Strategic and transitory models of queueing systems |
| Author | Honnappa, Harsha |
| Author email | honnappa@usc.edu;honnappa@gmail.com |
| Degree | Doctor of Philosophy |
| Document type | Dissertation |
| Degree program | Electrical Engineering |
| School | Viterbi School of Engineering |
| Date defended/completed | 2014-07-07 |
| Date submitted | 2014-10-01 |
| Date approved | 2014-10-01 |
| Restricted until | 2014-10-01 |
| Date published | 2014-10-01 |
| Advisor (committee chair) |
Jain, Rahul Ward, Amy R. |
| Advisor (committee member) |
Krishnamachari, Bhaskar Neely, Michael J. |
| Abstract | Stochastic network theory, and queueing theory in particular, is the bedrock for the analysis and control of resource constrained systems. Such systems are manifest in our world: in healthcare delivery, shared computing, communications and transportation systems, system operators observe high demand for services necessitating queue management. 'Classical' queueing theory has largely focused on the analysis of stationary and ergodic models. However, most real world resource allocation systems exhibit time-dependent arrival and service. Further, many systems operate only on a finite time horizon, or system operators are interested in the 'small-time' or transient behavior of a queueing system. In this dissertation, we initiate the development of models of such 'transitory' queueing systems. Our first contribution is the introduction of several disparate models of multiple server transitory queues. We develop fluid and diffusion approximations, using a mathematical technique called 'Population Acceleration'. Next, we extend this analysis to generalized Jackson networks. The diffusion approximations are completely unlike the conventional heavy-traffic diffusion approximations. Our second major contribution is the development of game theoretic models of traffic and routing in generalized Jackson networks. Almost all queueing models assume exogeneous arrivals, routing and service. However, in many situations, like early morning commutes, users are strategic in when they decide to join a service system and which route to take, so that they minimize their sojourn time. We identify the Nash equilibrium traffic and routing profile when users are strategic. |
| Keyword | queueing theory; applied probability; game theory; stochastic process limits; empirical process theory |
| Language | English |
| Format (imt) | application/pdf |
| Part of collection | University of Southern California dissertations and theses |
| Publisher (of the original version) | University of Southern California |
| Place of publication (of the original version) | Los Angeles, California |
| Publisher (of the digital version) | University of Southern California. Libraries |
| Provenance | Electronically uploaded by the author |
| Type | texts |
| Legacy record ID | usctheses-m |
| Contributing entity | University of Southern California |
| Rights | Honnappa, Harsha |
| Physical access | The author retains rights to his/her dissertation, thesis or other graduate work according to U.S. copyright law. Electronic access is being provided by the USC Libraries in agreement with the author, as the original true and official version of the work, but does not grant the reader permission to use the work if the desired use is covered by copyright. It is the author, as rights holder, who must provide use permission if such use is covered by copyright. The original signature page accompanying the original submission of the work to the USC Libraries is retained by the USC Libraries and a copy of it may be obtained by authorized requesters contacting the repository e-mail address given. |
| Repository name | University of Southern California Digital Library |
| Repository address | USC Digital Library, University of Southern California, University Park Campus MC 7002, 106 University Village, Los Angeles, California 90089-7002, USA |
| Repository email | cisadmin@lib.usc.edu |
| Filename | etd-HonnappaHa-2955.pdf |
| Archival file | uscthesesreloadpub_Volume14/etd-HonnappaHa-2955.pdf |
Description
| Title | Page 1 |
| Repository email | cisadmin@lib.usc.edu |
| Full text | STRATEGIC AND TRANSITORY MODELS OF QUEUEING SYSTEMS by Harsha Honnappa A Dissertation Presented to the FACULTY OF THE USC GRADUATE SCHOOL UNIVERSITY OF SOUTHERN CALIFORNIA In Partial Fulfillment of the Requirements for the Degree DOCTOR OF PHILOSOPHY (DEPARTMENT OF ELECTRICAL ENGINEERING) December 2014 Copyright 2014 Harsha Honnappa |
