Multi-Phase and Integrated Multi-Objective Cyclic Operating Room Scheduling Based on an Improved NSGA-II Approach

The operating room (OR) is an important department in a hospital, and the scheduling of surgeries in ORs is a challenging combinatorial optimization problem. In this paper, we address the problem of multiple resource allocation of ORs and propose a surgery scheduling scheme for OR units. To solve th...

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Published in:	Symmetry (Basel) Vol. 11; no. 5; p. 599
Main Authors:	Lu, Qian, Zhu, Xiaomin, Wei, Dong, Bai, Kaiyuan, Gao, Jinsheng, Zhang, Runtong
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.05.2019
Subjects:	Combinatorial analysis Genetic algorithms Hospitals Integer programming Linear programming Mathematical programming Medical research Multiphase Optimization Patient satisfaction Phase (cyclic) Resource allocation Schedules Scheduling Sorting algorithms Surgery
ISSN:	2073-8994, 2073-8994
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Abstract	The operating room (OR) is an important department in a hospital, and the scheduling of surgeries in ORs is a challenging combinatorial optimization problem. In this paper, we address the problem of multiple resource allocation of ORs and propose a surgery scheduling scheme for OR units. To solve this problem, a multi-phase and integrated multi-objective linear programming model is proposed. The first phase of the proposed model is a resource allocation model, which mainly focuses on the allocation of ORs for each surgical specialty (SS). Based on the results of the first phase, the second phase is the cyclic Master Surgical Schedule model, which aims to schedule the surgeries in each SS. The proposed models are solved by the Non-dominated Sorting Genetic Algorithm II (NSGA-II), which was improved. Finally, two numerical experiments based on practical data are provided to verify the effectiveness of the proposed models as well as to evaluate the performance of the improved NSGA-II. Our final results illustrate that our proposed model can provide hospital managers with a series of “optimal” solutions to effectively allocate relevant resources and ORs for surgeries, and they show that the improved NSGA-II has high computational efficiency and is more suitable in solving larger-scale problems.
AbstractList	The operating room (OR) is an important department in a hospital, and the scheduling of surgeries in ORs is a challenging combinatorial optimization problem. In this paper, we address the problem of multiple resource allocation of ORs and propose a surgery scheduling scheme for OR units. To solve this problem, a multi-phase and integrated multi-objective linear programming model is proposed. The first phase of the proposed model is a resource allocation model, which mainly focuses on the allocation of ORs for each surgical specialty (SS). Based on the results of the first phase, the second phase is the cyclic Master Surgical Schedule model, which aims to schedule the surgeries in each SS. The proposed models are solved by the Non-dominated Sorting Genetic Algorithm II (NSGA-II), which was improved. Finally, two numerical experiments based on practical data are provided to verify the effectiveness of the proposed models as well as to evaluate the performance of the improved NSGA-II. Our final results illustrate that our proposed model can provide hospital managers with a series of “optimal” solutions to effectively allocate relevant resources and ORs for surgeries, and they show that the improved NSGA-II has high computational efficiency and is more suitable in solving larger-scale problems.
Author	Bai, Kaiyuan Zhang, Runtong Lu, Qian Zhu, Xiaomin Wei, Dong Gao, Jinsheng
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Cites_doi	10.1590/S1807-03022011000200003 10.1017/S0265021502000662 10.1097/00000542-200508000-00025 10.1007/s00158-009-0460-7 10.1016/j.cor.2016.11.009 10.1016/j.ijpe.2009.03.009 10.1080/19488300.2016.1226994 10.1162/evco.1994.2.3.221 10.1007/s10696-014-9199-6 10.1007/s10729-010-9143-6 10.1016/j.jamcollsurg.2003.07.006 10.1007/s11771-014-2117-y 10.1016/S0925-5273(03)00087-2 10.1023/A:1022575412017 10.1016/j.orhc.2015.07.004 10.1016/S0377-2217(01)00219-3 10.1213/01.ane.0000244535.54710.28 10.1080/07408170008967443 10.1016/j.ejor.2012.09.010 10.1016/j.ejor.2006.02.057 10.1111/j.1937-5956.2007.tb00289.x 10.1023/A:1005548727003 10.1016/j.dss.2012.10.019 10.1016/j.orhc.2014.05.003 10.1016/j.ijpe.2004.12.006 10.1186/1472-6963-14-464 10.1213/01.ANE.0000149898.45044.3D 10.1007/s10729-007-9011-1 10.1016/j.ejor.2009.04.011 10.1007/s10951-008-0086-4 10.1016/j.ijpe.2008.11.021 10.1016/j.healthpol.2006.07.010 10.1016/j.ejor.2006.08.022 10.1109/4235.996017
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SubjectTerms	Combinatorial analysis Genetic algorithms Hospitals Integer programming Linear programming Mathematical programming Medical research Multiphase Optimization Patient satisfaction Phase (cyclic) Resource allocation Schedules Scheduling Sorting algorithms Surgery
Title	Multi-Phase and Integrated Multi-Objective Cyclic Operating Room Scheduling Based on an Improved NSGA-II Approach
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