Chapter 13 Patient mix optimisation for inpatient planning with multiple resources Jan Vissers, Ivo Adan, Nico Dellaert, Jully Jeunet, and Jos Bekkers Abstract. This contribution addresses the planning of admissions of surgical pa- tients, requiring different resources such as beds and nursing capacity at wards, op- erating rooms and operating theatre personnel at an operating theatre, intensive care beds and intensive care nursing capacity at an intensive care ward. We developed a modelling approach for this planning problem, starting from a very simplified base model with deterministic resource requirements only for elective patients to a model with also stochastic resource requirements and finally a model extended to emer- gency patients. We developed the consecutive models over a period of 6 years to- gether with a cardiothoracic surgeon who acted as problem owner and user of the model in healthcare practice. Each of the steps taken in the development of the mod- els provided new insights and added to the knowledge of the planning problem and J. Vissers ( ) Institute of Health Policy and Management, Erasmus University Rotterdam, Burgemeester Oud- laan 50, 3062 PA Rotterdam, The Netherlands e-mail: vissers@bmg.eur.nl I. Adan Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands e-mail: iadan@tue.nl N. Dellaert Industrial Engineering School, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eind- hoven, The Netherlands e-mail: n.p.dellaert@tue.nl J. Jeunet CNRS, Lamsade, Universit´ e Paris Dauphine, Place de Lattre de Tassigny, 75775 Paris Cedex 16, France e-mail: jully.jeunet@dauphine.fr J. Bekkers Thorax Centre Rotterdam, Erasmus University Medical Centre, P.O. Box 2040 3000, CA Rotter- dam, The Netherlands e-mail: j.a.bekkers@erasmusmc.nl T` anfani E., Testi A. (Eds.): Advanced Decision Making Methods Applied to Health Care. International Series in Operations Research & Management Science 173 DOI 10.1007/978-88-470-2321-5 13, © Springer-Verlag Italia 2012