Brownian modeling of queues : rates of convergence to equilibrium, departure variability, and large deviations
Abstract/Contents
- Abstract
- This dissertation is divided into two parts, the first of which revolves around rates of convergence to equilibrium for single-server queues (consisting of Chapters 2 and 3) and the second of which revolves around asymptotic variability and large deviations for departure processes in single-server queues (consisting of Chapters 4 and 5). Throughout the thesis, significant emphasis is placed on the Brownian modeling of queues, using reflected Brownian motion (RBM) both as a direct modeling tool as well as vehicle through which to obtain insights into pre-limit queueing behavior.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2017 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Wang, Rob Jiahua |
|---|---|
| Associated with | Stanford University, Department of Management Science and Engineering. |
| Primary advisor | Glynn, Peter W |
| Thesis advisor | Glynn, Peter W |
| Thesis advisor | Bambos, Nicholas |
| Thesis advisor | Lai, T. L |
| Advisor | Bambos, Nicholas |
| Advisor | Lai, T. L |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Rob Jiahua Wang. |
|---|---|
| Note | Submitted to the Department of Management Science and Engineering. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2017. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2017 by Rob Jiahua Wang
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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