Thesis: S.M., Massachusetts Institute of Technology, Sloan School of Management, Operations Research Center, May, 2020 / Cataloged from PDF version of thesis. / Includes bibliographical references (pages 32-34). / An equitable and flexible mechanism for assigning students to schools is a major concern for many school districts. The school a student attends dramatically impacts the quality of education, access to resources, family and neighborhood cohesion, and transportation costs. Facing this intricate optimization problem, school districts often utilize to stable-matching techniques which only produce stable matchings that do not incorporate these different objectives; this can be expensive and inequitable. We present a new optimization model for the Stable Matching (SM) school choice problem which relies on an algorithm we call Price-Costs-Flexibility-and- Fairness (PCF2). Our model leverages techniques to balance competing objectives using mixed-integer optimization methods. We explore the trade-offs between stability, costs, and preferences and show that, surprisingly, there are stable solutions that decrease transportation costs by 8-17% over the Gale-Shapley solution. / by Justin W. Graham. / S.M. / S.M. Massachusetts Institute of Technology, Sloan School of Management, Operations Research Center
| Identifer | oai:union.ndltd.org:MIT/oai:dspace.mit.edu:1721.1/127294 |
| Date | January 2020 |
| Creators | Graham, Justin W. |
| Contributors | Dimitris Bertsimas., Massachusetts Institute of Technology. Operations Research Center., Massachusetts Institute of Technology. Operations Research Center |
| Publisher | Massachusetts Institute of Technology |
| Source Sets | M.I.T. Theses and Dissertation |
| Language | English |
| Detected Language | English |
| Type | Thesis |
| Format | 34 pages, application/pdf |
| Rights | MIT theses may be protected by copyright. Please reuse MIT thesis content according to the MIT Libraries Permissions Policy, which is available through the URL provided., http://dspace.mit.edu/handle/1721.1/7582 |
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