Advertisement

Dynamic three-stage operating room scheduling considering patient waiting time and surgical overtime costs

  • Shuwan Zhu
  • Wenjuan FanEmail author
  • Tongzhu Liu
  • Shanlin Yang
  • Panos M. Pardalos
Article
  • 32 Downloads

Abstract

In this paper, we study a dynamic operating room scheduling problem which consists of three stages. The problem simultaneously tackles the capacity allocation of operating rooms to each specialty, assignment of operating rooms to surgeons, assignment and sequence of patients. To lower the total costs of operating rooms from both sides of patients and operating rooms, a mathematical model is proposed with objective of minimizing the patient waiting costs and operating room overtime costs. Some structural properties of the studied problem are proposed, and two heuristic algorithms are presented to solve the patient assignment problem based on these structural properties. The studied operating room scheduling problem is proved to be NP-hard, and a hybrid GWO-VNS algorithm combining Grey Wolf Optimizer (GWO) with Variable Neighbourhood Search (VNS) is developed to obtain a good solution, where the heuristic algorithms are incorporated. Finally, computational experiments are conducted to test the efficiency, stability, and convergence speed of the proposed algorithm and compared with other mainstream algorithms. The results show that our proposed algorithm outperforms the compared algorithms.

Keywords

Operating room scheduling Hybrid algorithm GWO-VNS Heuristic 

Notes

Acknowledgements

This work is supported by the National Natural Science Foundation of China (Nos. 71601065, 71690235 and 71690230), the Key research and development projects in Anhui (1804b06020377), the Basic scientific research projects in central colleges and Universities (JZ2018HGTB0232), and Innovative Research Groups of the National Natural Science Foundation of China (71521001).

References

  1. Aringhieri R, Landa P, Soriano P et al (2015) A two level metaheuristic for the operating room scheduling and assignment problem. Comput Oper Res 54:21–34MathSciNetCrossRefGoogle Scholar
  2. Astaraky D, Patrick J (2015) A simulation based approximate dynamic programming approach to multi-class, multi-resource surgical scheduling. Eur J Oper Res 245:309–319MathSciNetCrossRefGoogle Scholar
  3. Cardoen B, Demeulemeester E, Beliën J (2006) Optimizing a multiple objective surgical case scheduling problem. DTEW-KBI_0625, pp 1–38Google Scholar
  4. Choi S, Wilhelm WE (2014) An approach to optimize block surgical schedules. Eur J Oper Res 235:138–148.  https://doi.org/10.1016/j.ejor.2013.10.040 MathSciNetCrossRefzbMATHGoogle Scholar
  5. Denton BT, Miller AJ, Balasubramanian HJ, Huschka TR (2010) Optimal Allocation of Surgery Blocks to Operating Rooms Under Uncertainty. Oper Res 58:802–816MathSciNetCrossRefGoogle Scholar
  6. Guido R, Conforti D (2017) A hybrid genetic approach for solving an integrated multi-objective operating room planning and scheduling problem. Comput Oper Res 87:270–282MathSciNetCrossRefGoogle Scholar
  7. Guinet A, Chaabane S (2003) Operating theatre planning. Int J Prod Econ 85:69–81CrossRefGoogle Scholar
  8. Hansen P, Mladenović N (2001) Variable neighborhood search: principles and applications. Eur J Oper Res 130:449–467MathSciNetCrossRefGoogle Scholar
  9. Holte M, Mannino C (2013) The implementor/adversary algorithm for the cyclic and robust scheduling problem in health-care. Eur J Oper Res 226:551–559MathSciNetCrossRefGoogle Scholar
  10. Hosseini N, Taaffe KM (2015) Allocating operating room block time using historical caseload variability. Health Care Manag Sci 18:419–430CrossRefGoogle Scholar
  11. Jebali A, Hadj Alouane AB, Ladet P (2006) Operating rooms scheduling. Int J Prod Econ 99:52–62CrossRefGoogle Scholar
  12. Lee S, Yih Y (2014) Reducing patient-flow delays in surgical suites through determining start-times of surgical cases. Eur J Oper Res 238:620–629MathSciNetCrossRefGoogle Scholar
  13. Lei D, Guo X (2016) Variable neighborhood search for the second type of two-sided assembly line balancing problem. Comput Oper Res 72:183–188CrossRefGoogle Scholar
  14. Lin Y-K, Chou Y-Y (2019) A hybrid genetic algorithm for operating room scheduling. Health Care Manag SciGoogle Scholar
  15. Marques I, Captivo ME, Vaz Pato M (2015) A bicriteria heuristic for an elective surgery scheduling problem. Health Care Manag Sci 18:251–266CrossRefGoogle Scholar
  16. Min D, Yih Y (2010) Scheduling elective surgery under uncertainty and downstream capacity constraints. Eur J Oper Res 206:642–652MathSciNetCrossRefGoogle Scholar
  17. Mirjalili S, Mirjalili SM, Lewis A (2014) Grey wolf optimizer. Adv Eng Softw 69:46–61CrossRefGoogle Scholar
  18. Penn ML, Potts CN, Harper PR (2017) Multiple criteria mixed-integer programming for incorporating multiple factors into the development of master operating theatre timetables. Eur J Oper Res 262:194–206MathSciNetCrossRefGoogle Scholar
  19. Pham DN, Klinkert A (2008) Surgical case scheduling as a generalized job shop scheduling problem. Eur J Oper Res 185:1011–1025MathSciNetCrossRefGoogle Scholar
  20. Qu X, Peng Y, Kong N, Shi J (2013) A two-phase approach to scheduling multi-category outpatient appointments–A case study of a women’s clinic. Health Care Manag Sci 16:197–216CrossRefGoogle Scholar
  21. Riise A, Mannino C, Burke EK (2016) Modelling and solving generalised operational surgery scheduling problems. Comput Oper Res 66:1–11MathSciNetCrossRefGoogle Scholar
  22. Saadouli H, Jerbi B, Dammak A et al (2015) A stochastic optimization and simulation approach for scheduling operating rooms and recovery beds in an orthopedic surgery. Comput Ind Eng 80:72–79CrossRefGoogle Scholar
  23. Taherkhani M, Safabakhsh R (2016) A novel stability-based adaptive inertia weight for particle swarm optimization. Appl Soft Comput J 38:281–295CrossRefGoogle Scholar
  24. Tànfani E, Testi A (2010) A pre-assignment heuristic algorithm for the Master Surgical Schedule Problem (MSSP). Ann Oper Res 178:105–119MathSciNetCrossRefGoogle Scholar
  25. Testi A, Tanfani E, Torre G (2007) A three-phase approach for operating theatre schedules. Health Care Manag Sci 10:163–172CrossRefGoogle Scholar
  26. Vallada E, Ruiz R (2011) A genetic algorithm for the unrelated parallel machine scheduling problem with sequence dependent setup times. Eur J Oper Res 211:612–622MathSciNetCrossRefGoogle Scholar
  27. Van Houdenhoven M, Van Oostrum JM, Hans EW et al (2007) Improving operating room efficiency by applying bin-packing and portfolio techniques to surgical case scheduling. Anesth Analg 105:707–714CrossRefGoogle Scholar
  28. Vancroonenburg W, Smet P, Vanden Berghe G (2015) A two-phase heuristic approach to multi-day surgical case scheduling considering generalized resource constraints. Oper Res Heal Care 7:27–39CrossRefGoogle Scholar
  29. Vijayakumar B, Parikh PJ, Scott R et al (2013) A dual bin-packing approach to scheduling surgical cases at a publicly-funded hospital. Eur J Oper Res 224:583–591MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • Shuwan Zhu
    • 1
    • 2
  • Wenjuan Fan
    • 1
    • 2
    Email author
  • Tongzhu Liu
    • 3
  • Shanlin Yang
    • 1
    • 2
  • Panos M. Pardalos
    • 4
  1. 1.School of ManagementHefei University of TechnologyHefeiChina
  2. 2.Key Laboratory of Process Optimization and Intelligent Decision-making of Ministry of EducationHefeiChina
  3. 3.The First Affiliated Hospital of University of Science and Technology of ChinaHefeiChina
  4. 4.Department of Industrial and Systems EngineeringUniversity of FloridaGainesvilleUSA

Personalised recommendations