# Bed Balancing in Surgical Wards via Block Scheduling

AUTHORS

Michael W W Carter 1 , Saeedeh Ketabi 2 , *

1 Department of Mechanical and Industrial Engineering, University of Toronto, Canada

2 Faculty of Administrative Sciences and Economics, Department of Management, University of Isfahan, [email protected], IR Iran

How to Cite: Carter M W, Ketabi S. Bed Balancing in Surgical Wards via Block Scheduling , J Minim Invasive Surg Sci. Online ahead of Print ; 2(2):129-137.

ARTICLE INFORMATION

Journal of Minimally Invasive Surgical Sciences: 2 (2); 129-137
Published Online: May 30, 2013
Article Type: Research Article
Received: September 6, 2012
Accepted: October 17, 2012
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### Abstract

Background: Operating room (OR) planning involves the creation of a master surgical schedule in which surgeons are assigned to specific operating rooms (ORs) on specific days of a week. The master schedule is typically one or two weeks long repeatable for several months.

Objectives: The purpose of this study was to recommend using a mathematical program to generate a rotation in a way that the limited operating room capacity could be distributed based on smoothing expected demand for in-patient beds.

Patients and Methods: This study concentrated on the service-level scheduling at Sunnybrook Health Sciences Centre in Toronto, Canada, to build such a model. We assumed that the number of blocks (days) for each surgeon was given, and that the expected case-mix for each surgeon was chosen by random sampling based on historical data. The goal was to assign surgeons to the blocks so tat bed occupancy in the wards would become as stable as possible during the week. The planning problem was first formulated as a stochastic integer programming. Then, an approach with combination of Monte Carlo simulation and Premium Solver provided an approximate solution.

Results: The integer program provided scheduled OR number and day of the week for each surgeon, corresponding to the sample. The final result of model, approximated by the proposed method, was the maximum number of beds for each surgical service throughout the week. These were the required bed capacities to handle demands for surgeries.

Conclusions: An Integer Programming was presented to schedule OR and day of surgery for each surgeon with restrictions on the available ORs and required number of blocks. The problem was quickly solved using Premium Solver. The reliability of the results was highly dependent on the data. Another fundamental restriction for implementation of the results was to convince surgeons to accept changes in the schedules. The surgeon preferences might be included in the model constraints for more acceptable results.

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© 2013, Author(s). This is an open-access article distributed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/) which permits copy and redistribute the material just in noncommercial usages, provided the original work is properly cited.
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