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A fuzzy multi-criteria approach for robust operating room schedules

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Abstract

Operating room schedules are regularly influenced by uncertain demands such as unknown surgery durations or randomly arriving emergency patients. The performance of these schedules depends on the information available about these uncertainties when designing the schedules. We focus on an offline operational planning level which assigns patients to days and rooms without focusing on the intra-day sequence. A sufficient amount of time per day is to be reserved for elective and emergency surgeries. At the same time we observe that the performance of a particular schedule influences several stakeholders’ interests. We therefore combine the aspects of uncertain planning parameters and multiple stakeholders’ interests and investigate the performance of schedules for operating rooms using a dedicated robust multi-criteria optimisation approach. We compute a robust compromise schedule focusing on stochastic surgery times and different objectives and simultaneously reserve time windows dedicated to randomly arriving emergency demand. In order to evaluate the schedule’s quality, we perform an extensive simulation study and demonstrate to what extent each robust schedule achieves the mentioned goals. In a second step, we perform a sensitivity analysis in order to investigate how significant changes in assumptions about the stochastic model parameters affect the level of achievement of the different objectives.

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Acknowledgments

The authors would like to thank the anonymous referees for their valuable comments on a previous version of this paper. The work of Sebastian Rachuba is also funded by the National Institute for Health Research (NIHR) Collaboration for Leadership in Applied Health Research and Care South West Peninsula at the Royal Devon and Exeter NHS Foundation Trust. The views expressed are those of the author(s) and not necessarily those of the NHS, the NIHR or the Department of Health.

Author information

Authors and Affiliations

  1. NIHR CLAHRC for the South West Peninsula, University of Exeter Medical School, Exeter, EX1 2EQ, UK

    Sebastian Rachuba

  2. Faculty of Management and Economics, Chair of Management, esp. Operations Research and Accounting, Ruhr University Bochum, 44780, Bochum, Germany

    Brigitte Werners

Authors
  1. Sebastian Rachuba

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  2. Brigitte Werners

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Corresponding author

Correspondence toSebastian Rachuba.

Appendix

Appendix

Table 6 Sets, parameters and decision variables
Table 7 Feasible solutions and membership functions

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