Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization

We discuss an allocation mechanism of capstone projects to senior-year undergraduate students, which the recently established Singapore University of Technology and Design (SUTD) has implemented. A distinguishing feature of these projects is that they are multidisciplinary ; each project must involv...

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Main Authors: Magnanti, Thomas L, Natarajan, Karthik B
Other Authors: Sloan School of Management
Format: Article
Published: Institute for Operations Research and the Management Sciences (INFORMS) 2019
Online Access:http://hdl.handle.net/1721.1/120563
https://orcid.org/0000-0002-0771-3850
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author Magnanti, Thomas L
Natarajan, Karthik B
author2 Sloan School of Management
author_facet Sloan School of Management
Magnanti, Thomas L
Natarajan, Karthik B
author_sort Magnanti, Thomas L
collection MIT
description We discuss an allocation mechanism of capstone projects to senior-year undergraduate students, which the recently established Singapore University of Technology and Design (SUTD) has implemented. A distinguishing feature of these projects is that they are multidisciplinary ; each project must involve students from at least two disciplines. This is an instance of a bipartite many-to-one matching problem with one-sided preferences and with additional lower and upper bounds on the number of students from the disciplines that must be matched to projects. This leads to challenges in applying many existing algorithms.We propose the use of discrete optimization to find an allocation that considers both efficiency and fairness. This provides flexibility in incorporating side constraints, which are often introduced in the final project allocation using inputs from the various stakeholders. Over a three-year period from 2015 to 2017, the average rank of the project allocated to the student is roughly halfway between their top two choices, with around 78 percent of the students assigned to projects in their top-three choices. We discuss practical design and optimization issues that arise in developing such an allocation.
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spelling mit-1721.1/1205632022-09-28T19:13:10Z Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization Magnanti, Thomas L Natarajan, Karthik B Sloan School of Management Magnanti, Thomas L Natarajan, Karthik B We discuss an allocation mechanism of capstone projects to senior-year undergraduate students, which the recently established Singapore University of Technology and Design (SUTD) has implemented. A distinguishing feature of these projects is that they are multidisciplinary ; each project must involve students from at least two disciplines. This is an instance of a bipartite many-to-one matching problem with one-sided preferences and with additional lower and upper bounds on the number of students from the disciplines that must be matched to projects. This leads to challenges in applying many existing algorithms.We propose the use of discrete optimization to find an allocation that considers both efficiency and fairness. This provides flexibility in incorporating side constraints, which are often introduced in the final project allocation using inputs from the various stakeholders. Over a three-year period from 2015 to 2017, the average rank of the project allocated to the student is roughly halfway between their top two choices, with around 78 percent of the students assigned to projects in their top-three choices. We discuss practical design and optimization issues that arise in developing such an allocation. 2019-02-27T16:22:02Z 2019-02-27T16:22:02Z 2018-05 2017-05 2019-02-22T19:28:15Z Article http://purl.org/eprint/type/JournalArticle 0092-2102 1526-551X http://hdl.handle.net/1721.1/120563 Magnanti, Thomas L. and Karthik Natarajan. “Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization.” Interfaces 48, 3 (June 2018): 204–216 © 2018 INFORMS https://orcid.org/0000-0002-0771-3850 http://dx.doi.org/10.1287/INTE.2017.0940 Interfaces Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute for Operations Research and the Management Sciences (INFORMS) other univ website
spellingShingle Magnanti, Thomas L
Natarajan, Karthik B
Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization
title Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization
title_full Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization
title_fullStr Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization
title_full_unstemmed Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization
title_short Allocating Students to Multidisciplinary Capstone Projects Using Discrete Optimization
title_sort allocating students to multidisciplinary capstone projects using discrete optimization
url http://hdl.handle.net/1721.1/120563
https://orcid.org/0000-0002-0771-3850
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