Abstract
To support elective surgery scheduling, a surgery assignment plan often needs to be determined beforehand, while a good plan is actually a satisfied matching between surgeons and patients. How to match surgeons and patients considering constrains on the surgeons’ service ability and subjective preferences of the surgeons and patients is a noteworthy research issue, but the in-depth study on this issue is still lacking. The objective of this paper is to develop a method for satisfied matching between surgeons and patients. In the method, surgeons’ satisfaction degrees are calculated according to the preferences of surgeons concerning different types of surgeries, and meanwhile patients’ satisfaction degrees are calculated according to the preferences of patients concerning different surgeons. Then, given the constrains on the surgeons’ service ability, a bi-objective optimization model is constructed to maximize the surgeons’ total satisfaction degree and patients’ total satisfaction degree. Further, an algorithm for solving the model is given. By solving the model, the satisfied matching can be determined. Finally, a case study is given to illustrate the feasibility and validity of the proposed method.
Similar content being viewed by others
References
Afsharkazemi, M.A., Manouchehri, J., Salarifar, M., Nasiripour, A.A.: Key factors affecting the hospital performance: a qualitative study using fuzzy logic. Qual. Quant. 47(6), 3559–3573 (2013)
Bergh, J.V., Beliën, J., Bruecker, P.D., Demeulemeester, E., Boeck, L.D.: Personnel scheduling: a literature review. Eur. J. Oper. Res. 226, 367–385 (2013)
Bloch, F., Ryder, H.: Two-sided search, marriage and matchmakers. Int. Econ. Rev. 41, 93–115 (2000)
Cain, P.S., Treiman, D.J.: The dictionary of occupational titles as a source of occupational data. Am. Sociol. Rev. 46, 253–278 (1981)
Charnes, A., Cooper, W.W.: Goal programming and multiple objective optimizations: Part 1. Eur. J. Oper. Res. 1, 39–54 (1977)
Chen, X., Li, Z., Fan, Z.P., Zhou, X., Zhang, X.: Matching demanders and suppliers in knowledge service: a method based on fuzzy axiomatic design. Inform. Sci. 346, 130–145 (2016)
Fan, Z.P., Li, M.Y., Zhang, X.: Satisfied two-sided matching: a method considering elation and disappointment of agents. Soft. Comput. (2017). https://doi.org/10.1007/s00500-017-2725-1
Fan, Z.P., Liu, Y., Feng, B.: A method for stochastic multiple criteria decision making based on pairwise comparisons of alternatives with random evaluations. Eur. J. Oper. Res. 207(2), 906–915 (2010)
Gale, D., Shapley, L.S.: College admissions and the stability of marriage. Am. Math. Mon. 69, 9–15 (1962)
Gerchak, Y., Gupta, D., Henig, M.: Reservation planning for elective surgery under uncertain demand for emergency surgery. Manag. Sci. 42, 321–334 (1996)
Hans, E., Wullink, G., Houdenhoven, M., Kazemier, G.: Robust surgery loading. Eur. J. Oper. Res. 185, 1038–1050 (2008)
Irving, R.W., Manlove, D.F., Scott, S.: The stable marriage problem with master preference lists. Discrete Appl. Math. 156, 2959–2977 (2008)
Jiang, Y.P., Fan, Z.P., Liang, H.M., Sun, M.H.: An optimization approach for existing home seller-buyer matching. J. Oper. Res. Soc. (2018). https://doi.org/10.1080/01605682.2018.1427432
Klaus, B., Klijn, F.: Median stable matching for college admissions. Int. J. Game Theory 34, 1–11 (2006)
Kuhn, H.W.: The Hungarian method for the assignment problem. Nav. Res. Log. Quart. 2, 83–97 (1955)
Liao, H., Jiang, L., Xu, Z., Xu, J., Herrera, F.: A linear programming method for multiple criteria decision making with probabilistic linguistic information. Inform. Sci. 415, 341–355 (2017)
Liu, Y., Fan, Z.P., Yuan, Y., Li, H.: A FTA-based method for risk decision-making in emergency response. Comput. Oper. Res. 42, 49–57 (2014)
Min, D., Yih, Y.: Scheduling elective surgery under uncertainty and downstream capacity constraints. Eur. J. Oper. Res. 206, 642–652 (2010a)
Min, D., Yih, Y.: An elective surgery scheduling problem considering patient priority. Comput. Oper. Res. 37, 1091–1099 (2010b)
Molina-Pariente, J.M., Fernandez-Viagas, V., Framinan, J.M.: Integrated operating room planning and scheduling problem with assistant surgeon dependent surgery durations. Comput. Ind. Eng. 82, 8–20 (2015)
Ogulata, S.N., Erol, R.: A hierarchical multiple criteria mathematical programming approach for scheduling general surgery operations in large hospitals. J. Med. Syst. 27, 259–270 (2003)
Ogulata, S.N., Koyuncu, M., Karakas, E.: Personnel and patient scheduling in the high demanded hospital services: a case study in the physiotherapy service. J. Med. Syst. 32, 221–228 (2008)
Pais, J.: Random matching in the college admissions problem. Econ. Theor. 35, 99–116 (2008)
Rais, A., Viana, A.: Operations research in healthcare: a survey. Int. Trans. Oper. Res. 18, 1–31 (2010)
Roth, A.E.: Conflict and coincidence of interest in job matching: some new results and open questions. Math. Oper. Res. 10, 379–389 (1985)
Roth, A.E., Sönmez, T., Ünver, M.U.: Pairwise kidney exchange. J. Econ. Theory 125, 151–188 (2005)
Roth, A.E., Sönmez, T., Ünver, M.U.: Efficient kidney exchange: coincidence of wants in markets with compatibility-based preferences. Am. Econ. Rev. 97, 828–851 (2007)
Rothblum, U.G.: Characterization of stable matchings as extreme points of a polytope. Math. Program. 54, 57–67 (1992)
Saaty, T.L.: The Analytical Hierarchy Process. McGraw-Hill, Toronto (1980)
Sasaki, H., Toda, M.: Two-sided matching problems with externalities. J. Econ. Theory 70(1), 93–110 (1996)
Shapley, L.S., Shubik, M.: The assignment game I: the core. Int. J. Game Theory 1, 111–130 (1971)
Sim, K.M., Chan, R.A.: A brokering protocol for agent-based e-commerce. IEEE Trans. Syst. Man Cybern. C 30, 474–484 (2000)
Solans-Domènech, M., Adam, P., Tebé, C., Espallargues, M.: Developing a universal tool for the prioritization of patients waiting for elective surgery. Health Policy 113, 118–126 (2013)
Teo, C.P., Sethuraman, J.: The geometry of fractional stable matchings and its applications. Math. Oper. Res. 23, 874–891 (1998)
Vate, J.H.V.: Linear programming brings marital bliss. Oper. Res. Lett. 8, 147–153 (1989)
Xiang, W., Yin, J., Lim, G.: An ant colony optimization approach for solving an operating room surgery scheduling problem. Comput. Ind. Eng. 85, 335–345 (2015)
Yang, Y., Shen, B., Gao, W., Liu, Y., Zhong, L.: A surgical scheduling method considering surgeons’ preferences. J. Comb. Optim. 30, 1016–1026 (2015)
Zhang, F., Luo, L., Liao, H., Zhu, T., Shi, Y., Shen, W.: Inpatient admission assessment in West China Hospital based on hesitant fuzzy linguistic VIKOR method. J. Intell. Fuzzy Syst. 30(6), 3143–3154 (2016)
Zhong, L., Luo, S., Wu, L., Xu, L., Yang, J., Tang, G.: A two-stage approach for surgery scheduling. J. Comb. Optim. 27, 545–556 (2014)
Acknowledgements
This work was partly supported by the National Science Foundation of China (Project Nos. 71371002, 71571039, 71571040 and 71771043) and the 111 Project (B16009).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, Y., Fan, ZP. & Jiang, YP. Satisfied surgeon–patient matching: a model-based method. Qual Quant 52, 2871–2891 (2018). https://doi.org/10.1007/s11135-018-0714-9
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11135-018-0714-9