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A fuzzy robust stochastic mathematical programming approach for multi-objective scheduling of the surgical cases

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  • Mohammad Mahdi Nasiri

    (University of Tehran)

  • Farzaneh Shakouhi

    (University of Tehran)

  • Fariborz Jolai

    (University of Tehran)

Abstract

In this paper, the problem of elective surgery scheduling is studied, and resources like surgeons, nurses and operating rooms (ORs) are considered. The problem is to assign surgeries to operating rooms in order to meet three goals: (1) maximizing the number of surgeries that can be done using given fixed resources, (2) minimizing the total fixed costs and overtime costs of the ORs, and (3) minimizing the maximum of completion time of operating rooms. We take into account the uncertainty with the stochastic parameter for the regular operating time of OR in model and fuzzy constraint for resources and overtime. A multi-objective model is proposed to choose the operations to be scheduled on the selected day, and to assign the elective surgeries to OR sessions. In the first phase, we formulated a fuzzy robust optimization model and in the second phase, the sensitivity of the model to different values for penalties in the objective function, is analyzed. The efficiency of the proposed solution is validated by numerical results of applying the model to the case of a public hospital in Iran.

Suggested Citation

  • Mohammad Mahdi Nasiri & Farzaneh Shakouhi & Fariborz Jolai, 2019. "A fuzzy robust stochastic mathematical programming approach for multi-objective scheduling of the surgical cases," OPSEARCH, Springer;Operational Research Society of India, vol. 56(3), pages 890-910, September.
    • Handle: RePEc:spr:opsear:v:56:y:2019:i:3:d:10.1007_s12597-019-00379-y
    DOI: 10.1007/s12597-019-00379-y
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    1. Ivo Adan & Jos Bekkers & Nico Dellaert & Jan Vissers & Xiaoting Yu, 2009. "Patient mix optimisation and stochastic resource requirements: A case study in cardiothoracic surgery planning," Health Care Management Science, Springer, vol. 12(2), pages 129-141, June.
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    5. Shan Wang & Huiqiao Su & Guohua Wan, 2015. "Resource-constrained machine scheduling with machine eligibility restriction and its applications to surgical operations scheduling," Journal of Combinatorial Optimization, Springer, vol. 30(4), pages 982-995, November.
    6. Mohammad Mahdi Nasiri & Meysam Rahvar, 2017. "A two-step multi-objective mathematical model for nurse scheduling problem considering nurse preferences and consecutive shifts," International Journal of Services and Operations Management, Inderscience Enterprises Ltd, vol. 27(1), pages 83-101.
    7. Sebastian Rachuba & Brigitte Werners, 2017. "A fuzzy multi-criteria approach for robust operating room schedules," Annals of Operations Research, Springer, vol. 251(1), pages 325-350, April.
    8. Vijayakumar, Bharathwaj & Parikh, Pratik J. & Scott, Rosalyn & Barnes, April & Gallimore, Jennie, 2013. "A dual bin-packing approach to scheduling surgical cases at a publicly-funded hospital," European Journal of Operational Research, Elsevier, vol. 224(3), pages 583-591.
    9. Saremi, Alireza & Jula, Payman & ElMekkawy, Tarek & Wang, G. Gary, 2013. "Appointment scheduling of outpatient surgical services in a multistage operating room department," International Journal of Production Economics, Elsevier, vol. 141(2), pages 646-658.
    10. Jebali, AIda & Hadj Alouane, Atidel B. & Ladet, Pierre, 2006. "Operating rooms scheduling," International Journal of Production Economics, Elsevier, vol. 99(1-2), pages 52-62, February.
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    Cited by:

    1. F. Shakouhi & R. Tavakkoli-Moghaddam & A. Baboli & A. Bozorgi-Amiri, 2023. "A competitive pharmaceutical supply chain under the marketing mix strategies and product life cycle with a fuzzy stochastic demand," Annals of Operations Research, Springer, vol. 324(1), pages 1369-1397, May.
    2. Sean Harris & David Claudio, 2022. "Current Trends in Operating Room Scheduling 2015 to 2020: a Literature Review," SN Operations Research Forum, Springer, vol. 3(1), pages 1-42, March.
    3. Mehrnaz Bathaee & Hamed Nozari & Agnieszka Szmelter-Jarosz, 2023. "Designing a New Location-Allocation and Routing Model with Simultaneous Pick-Up and Delivery in a Closed-Loop Supply Chain Network under Uncertainty," Logistics, MDPI, vol. 7(1), pages 1-33, January.
    4. Irfan Ali & Umar Muhammad Modibbo & Jahangir Chauhan & Maryam Meraj, 2021. "An integrated multi-objective optimization modelling for sustainable development goals of India," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 23(3), pages 3811-3831, March.

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