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Scheduling an operating theatre under human resource constraints
Authors:B. Roland  C. Di Martinelly  F. Riane  Y. Pochet
Affiliation:1. Louvain School of Management and FUCaM, Department of Management Science, Belgium;2. Université catholique de Louvain, Center for Operational Research and Econometrics, Belgium;1. Department of Operating Rooms, Erasmus University Medical Center, Rotterdam, The Netherlands;2. Staff Department Board of Directors, Academic Medical Center, Amsterdam, The Netherlands;3. Department of Operating Rooms, Academic Medical Center, Amsterdam, The Netherlands;4. Department of Anesthesiology, Academic Medical Center, Amsterdam, The Netherlands;5. Department of Surgery, VU Medical Center, Amsterdam, The Netherlands;1. Universitäres Zentrum für Gesundheitswissenschaften am Klinikum Augsburg (UNIKA-T), School of Business and Economics, Universität Augsburg, Germany;2. Center for Healthcare Operations Improvement and Research (CHOIR), School of Management and Governance, University of Twente, The Netherlands;3. TUM School of Management, Technische Universität München, Germany;4. Department of Applied Mathematics, University of Twente, The Netherlands;5. Department of Industrial Engineering, Dalhousie University, Canada;1. Department of Management Engineering, Technical University of Denmark, Kgs. Lyngby, Denmark;2. Rigshospitalet, Copenhagen, Denmark;1. Department of Economics and Business Studies, University of Genova, Italy;2. Department of Computer Science, University of Torino, Italy;3. Department of Management Sciences and CIRRELT, HEC Montréal, Canada
Abstract:In the present economic context, the operating theatre is considered as a critical activity in health care management. By virtue of its huge consumption of human and material resources, the operating theatre is one of the most important sources of expenses of the hospitals. A less costly organization of the operating rooms calls for a more rational use of the resources and a more refined planning of the surgical units. In addition to these considerations, we are concerned about the well-being of the medical staff. We integrate this human factor into the optimization procedure by stressing the human resources’ availabilities in the design of the schedules. This planning process is typically decomposed in two sequential phases: a planning stage followed by a scheduling stage. Due to this decomposition the resulting solutions may turn out to be sub-optimal. In this paper, we propose a formulation that includes both the planning and scheduling of the surgical operations. We also propose a heuristic solution procedure based on genetic algorithms to counter the large running times inherent in tackling this kind of hard optimization problem.
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