Robust transportation network design under user equilibrium
Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2007.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2008
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| Online Access: | http://hdl.handle.net/1721.1/41731 |
| _version_ | 1811085579159339008 |
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| author | Lu, Yun |
| author2 | Dimitris J. Bertsimas and Georgia Perakis. |
| author_facet | Dimitris J. Bertsimas and Georgia Perakis. Lu, Yun |
| author_sort | Lu, Yun |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2007. |
| first_indexed | 2024-09-23T13:11:50Z |
| format | Thesis |
| id | mit-1721.1/41731 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T13:11:50Z |
| publishDate | 2008 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/417312019-04-12T20:20:44Z Robust transportation network design under user equilibrium Lu, Yun Dimitris J. Bertsimas and Georgia Perakis. Massachusetts Institute of Technology. Computation for Design and Optimization Program. Massachusetts Institute of Technology. Computation for Design and Optimization Program. Computation for Design and Optimization Program. Thesis (S.M.)--Massachusetts Institute of Technology, Computation for Design and Optimization Program, 2007. Includes bibliographical references (p. 59-63). We address the problem of designing a transportation network in the presence of demand uncertainty, multiple origin-destination pairs and a budget constraint for the overall construction cost, under the behavioral assumption that travelers optimize their own travel costs (i.e., the "user-equilibrium" condition). Under deterministic demand, we propose an exact integer optimization approach that leads to a quadratic objective, linear constraints optimization problem. As a result, the problem is efficiently solvable via commercial software, when the costs are linear functions of traffic flows. We then use an iterative algorithm to address the case of nonlinear cost functions. While the problem is intractable under probabilistic assumptions on demand uncertainty, we extend the previous model and propose an iterative algorithm using a robust optimization approach that models demand uncertainty. We finally report extensive numerical results to illustrate that our approach leads to tractable solutions for large scale networks. by Yun Lu. S.M. 2008-05-19T16:12:53Z 2008-05-19T16:12:53Z 2007 2007 Thesis http://hdl.handle.net/1721.1/41731 225081359 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 63 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Computation for Design and Optimization Program. Lu, Yun Robust transportation network design under user equilibrium |
| title | Robust transportation network design under user equilibrium |
| title_full | Robust transportation network design under user equilibrium |
| title_fullStr | Robust transportation network design under user equilibrium |
| title_full_unstemmed | Robust transportation network design under user equilibrium |
| title_short | Robust transportation network design under user equilibrium |
| title_sort | robust transportation network design under user equilibrium |
| topic | Computation for Design and Optimization Program. |
| url | http://hdl.handle.net/1721.1/41731 |
| work_keys_str_mv | AT luyun robusttransportationnetworkdesignunderuserequilibrium |