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A combinatorial auction mechanism for surgical scheduling considering surgeon’s private availability information

Author

Listed:
  • Lu Liu

    (Dalian University of Technology
    Concordia University)

  • Chun Wang

    (Concordia University)

  • Jianjun Wang

    (Dalian University of Technology)

Abstract

This paper addresses surgical scheduling problem in a decentralized environment where the availability of surgeons is considered as their private information. In addition to combinatorial complexities inherited from centralized surgical scheduling models, strategic behaviors of surgeons derived from decentralized game theoretic environments have to be addressed. We propose an iterative auction mechanism, a form of decentralized combinatorial optimization, for solving the surgical scheduling problem. The eligibility restriction of operation rooms is also considered. The objective is to maximize the overall social welfare of patients which is represented by the overall weights of surgeries scheduled. Under the proposed mechanism, we prescribe strategies for surgeons on submitting their availability information to maximize their preference values, and at the same time, minimize the revelation of their private information. We prove that myopic bidding strategy is a weakly dominant strategy for surgeons under the proposed scheduling mechanism and the solution quality is an non-decreasing function of the number of bidding rounds along the bidding process. We also present a nontrivial worked example to illustrate the application of the proposed approach in surgical scheduling setting.

Suggested Citation

  • Lu Liu & Chun Wang & Jianjun Wang, 2019. "A combinatorial auction mechanism for surgical scheduling considering surgeon’s private availability information," Journal of Combinatorial Optimization, Springer, vol. 37(1), pages 405-417, January.
    • Handle: RePEc:spr:jcomop:v:37:y:2019:i:1:d:10.1007_s10878-017-0247-5
    DOI: 10.1007/s10878-017-0247-5
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    References listed on IDEAS

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    1. Liwei Zhong & Shoucheng Luo & Lidong Wu & Lin Xu & Jinghui Yang & Guochun Tang, 2014. "A two-stage approach for surgery scheduling," Journal of Combinatorial Optimization, Springer, vol. 27(3), pages 545-556, April.
    2. Lili Liu & Guochun Tang & Baoqiang Fan & Xingpeng Wang, 2015. "Two-person cooperative games on scheduling problems in outpatient pharmacy dispensing process," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 938-948, November.
    3. Thibaud Monteiro & Nadine Meskens & Tao Wang, 2015. "Surgical scheduling with antagonistic human resource objectives," International Journal of Production Research, Taylor & Francis Journals, vol. 53(24), pages 7434-7449, December.
    4. Pablo Santibáñez & Mehmet Begen & Derek Atkins, 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 Management Science, Springer, vol. 10(3), pages 269-282, September.
    5. Zonderland, Maartje E. & Timmer, Judith, 2012. "Optimal allocation of MRI scan capacity among competing hospital departments," European Journal of Operational Research, Elsevier, vol. 219(3), pages 630-637.
    6. Cardoen, Brecht & Demeulemeester, Erik & Beliën, Jeroen, 2010. "Operating room planning and scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 201(3), pages 921-932, March.
    7. Michael Samudra & Carla Van Riet & Erik Demeulemeester & Brecht Cardoen & Nancy Vansteenkiste & Frank E. Rademakers, 2016. "Scheduling operating rooms: achievements, challenges and pitfalls," Journal of Scheduling, Springer, vol. 19(5), pages 493-525, October.
    8. Ying Yang & Bing Shen & Wei Gao & Yong Liu & Liwei Zhong, 2015. "A surgical scheduling method considering surgeons’ preferences," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 1016-1026, November.
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