McBride, I. and Manlove, D. F. (2014) An integer programming Model for the Hospitals/Residents Problem with Couples. In: Operations Research Proceedings 2013: Selected Papers of the International Conference on Operations Research, OR2013. Series: Operations Research Proceedings. Springer International Publishing, pp. 293-299. ISBN 9783319070001 (doi: 10.1007/978-3-319-07001-8_40)
|
Text
98265.pdf - Accepted Version 160kB |
Publisher's URL: http://dx.doi.org/10.1007/978-3-319-07001-8_40
Abstract
The Hospitals/Residents problem with Couples (hrc) is a generalisation of the classical Hospitals/Residents problem (hr) that is important in practical applications because it models the case where couples submit joint preference lists over pairs of (typically geographically close) hospitals. In this paper we give a new NP-completeness result for the problem of deciding whether a stable matching exists, in highly restricted instances of hrc. Further, we present an Integer Programming (IP) model for hrc and extend it the case where preference lists can include ties. Further, we describe an empirical study of an IP model for HRC and its extension to the case where preference lists can include ties. This model was applied to randomly generated instances and also real-world instances arising from previous matching runs of the Scottish Foundation Allocation Scheme, used to allocate junior doctors to hospitals in Scotland.
| Item Type: | Book Sections |
|---|---|
| Additional Information: | International Conference on Operations Research (OR2013), Rotterdam, 3-6 Sept. 2013.<p></p> The final publication is available at http://link.springer.com/chapter/10.1007%2F978-3-319-07001-8_40 <p></p> |
| Status: | Published |
| Glasgow Author(s) Enlighten ID: | Manlove, Professor David |
| Authors: | McBride, I., and Manlove, D. F. |
| College/School: | College of Science and Engineering > School of Computing Science |
| Publisher: | Springer International Publishing |
| ISSN: | 0721-5924 |
| ISBN: | 9783319070001 |
| Copyright Holders: | Copyright © 2014 Springer International Publishing |
| Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher. |
| Data DOI: | 10.5525/gla.researchdata.255 |
University Staff: Request a correction | Enlighten Editors: Update this record
Funder and Project Information
Funder and Project Information