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Case Article—Pediatrician Scheduling at British Columbia Women’s Hospital

Published: 01 September 2023 Publication History

Abstract

This article describes an in-class role-playing exercise, as well as a case study, on the application of mixed integer programming to help a hospital with physician scheduling. The intended audiences are graduate students or advanced undergraduate students taking a first course in optimization who have been introduced to integer programming. The role-playing exercise aims to develop students’ skills in the iterative process of listening to decision makers describe their problem, asking them questions, and developing initial formulations of the problem. The case study provides students the opportunity to spend more time developing a full mathematical formulation, solving it, and writing up their findings. The case assumes students have already been introduced to the “Big-M” method but assumes no prior introduction to the concepts of hard versus soft constraints. There is no natural objective in this problem, such as the usual “maximize profit” or “minimize cost”; instead, students are introduced to the topic of Goal Programming, which also introduces them to the concept of multiobjective optimization.
Supplemental Material: Data are available at https://doi.org/10.1287/ited.2021.0266ca. The Teaching Note is available at https://www.informs.org/Publications/ Subscribe/Access-Restricted-Materials.

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cover image INFORMS Transactions on Education
INFORMS Transactions on Education  Volume 24, Issue 1
September 2023
117 pages
ISSN:1532-0545
EISSN:1532-0545
DOI:10.1287/ited.2023.24.issue-1
Issue’s Table of Contents
This work is licensed under a Creative Commons Attribution 4.0 International License. You are free to copy, distribute, transmit and adapt this work, but you must attribute this work as “INFORMS Transactions on Education. Copyright © 2022 The Author(s). https://doi.org/10.1287/ited.2021.0266ca, used under a Creative Commons Attribution License: https://creativecommons.org/licenses/by/4.0/.”

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INFORMS

Linthicum, MD, United States

Publication History

Published: 01 September 2023
Accepted: 16 November 2021
Received: 31 May 2021

Author Tags

  1. scheduling
  2. mixed integer programming
  3. binary integer programming
  4. big-M
  5. soft constraints
  6. goal programming
  7. multiobjective optimization

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