This paper provides a classification of real scheduling problems. Various ways have been examined and described on the problem. Scheduling problem faces a tremendous challenges and difficulties in order to meet the preferences of the consumer. Dealing with scheduling problem is complicated, inefficient and time-consuming. This study aims to develop a mathematical model for scheduling the operating theatre during peak and off peak time. Scheduling problem is a well known optimization problem and the goal is to find the best possible optimal solution. In this paper, we used integer linear programming technique for scheduling problem in a high level of synthesis. In addition, time and resource constrained scheduling was used. An optimal result was fully obtained by using the software GLPK/AMPL. This model can be adopted to solve other scheduling problems, such as the Lecture Theatre, Cinemas and Work Shift.
Instance Generation for Patient-to-room Assignment and Admission Scheduling Based on Real Hospital Data
Chair of Combinatorial Optimization, RWTH Aachen University(组合优化研究所,亚琛工业大学);Chair of Algorithms and Complexity, RWTH Aachen University(算法与复杂性研究所,亚琛工业大学)
Handling Overtime Constraints in Mixed Integer Linear Programming for Surgical Scheduling: A Comparison of Neural Network and Classical Linearization Techniques
Erasmus University Medical Center(伊拉斯姆斯大学医学中心);Delft Institute of Applied Mathematics, Delft University of Technology(代尔夫特理工大学应用数学研究所)
A Two-Stage Operating Room Allocation Framework for Reducing Surgical Waiting Lists in Public Hospitals
Center for Mathematical Modeling, Universidad de Chile and CNRS (IRL 2807)(智利大学数学建模中心与法国国家科学研究中心(IRL 2807));Universidad Nacional de Colombia(哥伦比亚国立大学);Dr. Luis Calvo Mackenna Hospital(路易斯·卡尔沃·麦肯纳博士医院);Department of Mathematical Engineering, Universidad de Chile(智利大学数学工程系)
A Reinforcement-learning-based Column Generation Algorithm for Integrated Operating Room Planning and Scheduling
Concordia University(康科迪亚大学);CIRRELT, Université de Montréal(蒙特利尔大学CIRRELT);Université du Québec à Montréal(魁北克大学蒙特利尔分校);Polytechnique Montréal(蒙特利尔理工学院)