OR Spectrum (2014) 36:585–605
DOI 10.1007/s00291-013-0323-x
REGULAR ARTICLE
Reducing the number of required beds by rearranging
the OR-schedule
J. Theresia van Essen · Joël M. Bosch ·
Erwin W. Hans · Mark van Houdenhoven ·
Johann L. Hurink
Published online: 2 April 2013
© Springer-Verlag Berlin Heidelberg 2013
Abstract After surgery most of the surgical patients have to be admitted in a ward
in the hospital. Due to financial reasons and a decreasing number of available
nurses in the Netherlands over the years, it is important to reduce the bed usage
as much as possible. One possible way to achieve this is to create an operating room
(OR) schedule that spreads the usage of beds nicely over time, and thereby mini-
mizes the number of required beds. An OR-schedule is given by an assignment of
OR-blocks to specific days in the planning horizon and has to fulfill several resource
constraints. Due to the stochastic nature of the length of stay of patients, the analytic
calculation of the number of required beds for a given OR-schedule is a complex task
involving the convolution of discrete distributions. In this paper, two approaches to
deal with this complexity are presented. First, a heuristic approach based on local
search is given that takes into account the detailed formulation of the objective.
A second approach reduces the complexity by simplifying the objective function.
This allows modeling and solving the resulting problem as an ILP. Both approaches
are tested on data provided by Hagaziekenhuis in the Netherlands. Furthermore, sev-
eral what-if scenarios are evaluated. The computational results show that the approach
that uses the simplified objective function provides better solutions to the original prob-
lem for instances based on the situation in HagaZiekenhuis. By using this approach,
the number of required beds for the considered instance of HagaZiekenhuis can be
reduced by almost 20 %.
J. T. van Essen (B ) · J. M. Bosch · E. W. Hans · J. L. Hurink
Center of Healthcare Operations Improvement and Research (CHOIR),
University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands
e-mail: j.t.vanessen@utwente.nl
J. T. van Essen · J. M. Bosch · M. van Houdenhoven
HagaZiekenhuis, P.O. Box 40551, 2504 LN Den Haag, The Netherlands
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