Abstract
In this study, we propose a mixed integer multi-objective model which allows determining the number and typology of surgeries to be scheduled in each OR, day and session of a multiple day planning period, in context where each OR session of the planning horizon has already been assigned to a specialty, with the (multiple) objective of obtaining a desired: (i) patient due date fulfilment rate, (ii) OR utilisation, (iii) bed utilisation, (iv) number of scheduled surgeries. These objectives, reflect heterogeneous priorities of different stakeholders of the surgical scheduling process. To address the described multi-objective problem, we use a goal programming approach and we show how the exploration of the weight space, typical of such approach, can be more efficient if informed by a correlation analysis. The results presented in this study are based on real data from the Meyer University Children’s Hospital in Florence.
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References
Adan IJBF, Vissers JMH (2002) Patient mix optimisation in hospital admission planning: a case study. Int J Oper Prod Manag 22(4):445–461
Agnetis A, Coppi A, Corsini M, Dellino G, Meloni C, Pranzo M (2012) Long term evaluation of operating theater planning policies. Oper Res Health Care 1(4):95–104
Alinezhad A, Kiani Mavi R (2009) Practical common weights goal programming approach for technology selection. Math Sci 3(2):201–212
Aringhieri R, Duma D (2015) The optimization of a surgical clinical pathway. In: Obaidat MS, Ören T, Kacprzyk J, Filipe J (eds) Advances in intelligent systems and computing, vol 402. Springer, Berlin, pp 313–331
Aringhieri R, Landa P, Soriano P, Tànfani E, Testi A (2015) A two level metaheuristic for the operating room scheduling and assignment problem. Comput Oper Res 54:21–34
Banditori C, Cappanera P, Visintin F (2013) A combined optimization-simulation approach to the master surgical scheduling problem. IMA J Manag Math 24(2):155–187
Beliën J, Demeulemeester E, Cardoen B (2009) A decision support system for cyclic master surgery scheduling with multiple objectives. J Sched 12(2):147–161
Blake JT, Carter MW (2002) A goal programming approach to strategic resource allocation in acute care hospitals. Eur J Oper Res 140(3):541–561
Canadian Association of Radiologists (2013) National maximum wait time access targets for medical imaging
Cappanera P, Visintin F, Banditori C (2014) Comparing resource balancing criteria in master surgical scheduling: a combined optimisation-simulation approach. Int J Prod Econ 158:179–196
Cardoen B, Demeulemeester E, Beliën J (2009) Optimizing a multiple objective surgical case sequencing problem. Int J Prod Econ 119(2):354–366
Cardoen B, Demeulemeester E, Beliën J (2010) Operating room planning and scheduling: a literature review. Eur J Oper Res 201(3):921–932
Denton B, Viapiano J, Vogl A (2007) Optimization of surgery sequencing and scheduling decisions under uncertainty. Health Care Manag Sci 10(1):13–24
Duma D, Aringhieri R (2015) An online optimization approach for the real time management of operating rooms. Oper Res Health Care 7:40–51
Field A, Miles J, Field Z (2012) Discovering statistics using R. SAGE Publication Inc., London
García F, Guijarro F, Moya I (2010) A goal programming approach to estimating performance weights for ranking firms. Comput Oper Res 37:1597–1609
Glauberman S, Mintzberg H (2001) Managing the care of health and the cure of disease-Part I: differentiation. Health Care Manag Rev 26:56–69
Guinet A, Chaabane S (2003) Operating theatre planning. Int J Prod Econ 85(1):69–81
Guo M, Wu S, Li B, Song J, Rong Y (2016) Integrated scheduling of elective surgeries and surgical nurses for operating room suites. Flex Serv Manuf J 28(1):166–181
Jebali AA, Hadj Alouane AB, Ladet P (2006) Operating rooms scheduling. Int J Prod Econ 99(1–2):52–62
Jones D (2011) A practical weight sensitivity algorithm for goal and multiple objective programming. Eur J Oper Res 213(1):238–245
Jones D, Tamiz M (2010) Practical goal programming. Springer International Publishing, New York
Lam KF (2010) In the determination of weight sets to compute cross-efficiency ratios in DEA. J Oper Res Soc 61(1):134–143
Lam KF, Choo EU (1995) Goal programming in preference decomposition. J Oper Res Soc 46(2):205–213
Leeftink AG, Hans EW (2016) Development of a benchmark set and instance classification system for surgery scheduling. (https://www.utwente.nl/choir/en/research/BenchmarkORScheduling/)
Makui A, Alinezhad A, Kiani Mavi R, Zohrehbandian M (2008) A goal programming method for finding common weights in DEA with an improved discriminating power for efficiency. J Ind Syst Eng 1(4):293–303
May JH, Spangler WE, Strum DP, Vargas LG (2011) The surgical scheduling problem: current research and future opportunities. Prod Oper Manag 20(3):392–405
Meskens N, Duvivier D, Hanset A (2013) Multi-objective operating room scheduling considering desiderata of the surgical team. Decis Support Syst 55(2):650–659
Ministero della Salute (2010) Piano Nazionale di Governo delle Liste di Attesa (PNGLA 2010-2012)
Ogulata SN, Erol R (2003) A hierarchical multiple criteria mathematical programming approach for scheduling general surgery operations in large hospitals. J Med Syst 27(3):259–270
Ozkarahan I (2000) Allocation of surgeries to operating rooms by goal programing. J Med Syst 24(6):339–378
Rachuba S, Werners B (2014) A robust approach for scheduling in hospitals using multiple objectives. J Oper Res Soc 65:546–556
Santibáñez P, Begen M, Atkins D (2007) Surgical block scheduling in a system of hospitals: an application to resource and wait list management in a British Columbia health authority. Health Care Manag Sci 10(3):269–282
Van Huele C, Vanhoucke M (2014) Analysis of the integration of the physician rostering problem and the surgery scheduling problem. J Med Syst 38(6):1–16
Van Oostrum JM, Van Houdenhoven M, Hurink JL, Hans EW, Wullink G, Kazemier G (2008) A master surgical scheduling approach for cyclic scheduling in operating room departments. OR Spectr 30(2):355–374
Visintin F, Cappanera P, Banditori C (2016) Evaluating the impact of flexible practices on the master surgical scheduling process: an empirical analysis. Flex Serv Manuf J 28(1):182–205
Wang S, Ma C, Xiang W (2015) Operating rooms decision optimization integrating surgery planning and nurse rostering. In: Industrial engineering, management science and applications 2015, pp 919–926
Zohrehbandian M, Makui A, Alinezhad A (2010) A compromise solution approach for finding common weights in DEA: an improvement to Kao and Hung’s approach. J Oper Res Soc 61(4):604–610
Acknowledgments
The authors are grateful to Meyer University Children’s Hospital, and in particular to General Director Dr. Alberto Zanobini, and to the Medical Director Dr. Francesca Bellini for supporting the research project that has inspired this study. We are also grateful to Dr. Simona Vergna, Dr. Nino Sala and Dr. Francesco Puggelli, for their insightful suggestions and feedback.
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Cappanera, P., Visintin, F. & Banditori, C. Addressing conflicting stakeholders’ priorities in surgical scheduling by goal programming. Flex Serv Manuf J 30, 252–271 (2018). https://doi.org/10.1007/s10696-016-9255-5
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DOI: https://doi.org/10.1007/s10696-016-9255-5