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Optimizing a multiple objective surgical case sequencing problem

Author

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  • Cardoen, Brecht
  • Demeulemeester, Erik
  • Beliën, Jeroen

Abstract

This paper studies a multi-objective combinatorial optimization problem in which the sequence of patients within the operating rooms of a freestanding ambulatory surgical center has to be determined. We show that the optimization problem is NP-hard and we develop some mixed integer linear programming solution approaches, which are either exact or heuristic in nature, to facilitate the decision process of the operating room scheduler. We gathered data from the UZ Leuven Campus Gasthuisberg (Belgium) to develop a structured but artificial test set and introduced the 224 instances to evaluate and compare the computational performance of the algorithmic approaches. Since the focus of this paper is directed towards the development and the computational testing of the solution procedures, we only briefly document on some case study results with real data.

Suggested Citation

  • Cardoen, Brecht & Demeulemeester, Erik & Beliën, Jeroen, 2009. "Optimizing a multiple objective surgical case sequencing problem," International Journal of Production Economics, Elsevier, vol. 119(2), pages 354-366, June.
    • Handle: RePEc:eee:proeco:v:119:y:2009:i:2:p:354-366
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    References listed on IDEAS

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    1. Guinet, Alain & Chaabane, Sondes, 2003. "Operating theatre planning," International Journal of Production Economics, Elsevier, vol. 85(1), pages 69-81, July.
    2. Opricovic, Serafim & Tzeng, Gwo-Hshiung, 2004. "Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS," European Journal of Operational Research, Elsevier, vol. 156(2), pages 445-455, July.
    3. Marcon, Eric & Kharraja, Said & Simonnet, Gerard, 2003. "The operating theatre planning by the follow-up of the risk of no realization," International Journal of Production Economics, Elsevier, vol. 85(1), pages 83-90, July.
    4. 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:

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    4. Samavati, Mehran & Essam, Daryl & Nehring, Micah & Sarker, Ruhul, 2017. "A methodology for the large-scale multi-period precedence-constrained knapsack problem: an application in the mining industry," International Journal of Production Economics, Elsevier, vol. 193(C), pages 12-20.
    5. Vaziri, Shabnam Mahmoudzadeh & Rezaee, Babak & Monirian, Masoud Amel, 2020. "Utilizing renewable energy sources efficiently in hospitals using demand dispatch," Renewable Energy, Elsevier, vol. 151(C), pages 551-562.
    6. Vandenberghe, Mathieu & De Vuyst, Stijn & Aghezzaf, El-Houssaine & Bruneel, Herwig, 2019. "Surgery sequencing to minimize the expected maximum waiting time of emergent patients," European Journal of Operational Research, Elsevier, vol. 275(3), pages 971-982.
    7. Khaniyev, Taghi & Kayış, Enis & Güllü, Refik, 2020. "Next-day operating room scheduling with uncertain surgery durations: Exact analysis and heuristics," European Journal of Operational Research, Elsevier, vol. 286(1), pages 49-62.
    8. Aringhieri, Roberto & Duma, Davide & Landa, Paolo & Mancini, Simona, 2022. "Combining workload balance and patient priority maximisation in operating room planning through hierarchical multi-objective optimisation," European Journal of Operational Research, Elsevier, vol. 298(2), pages 627-643.
    9. Borgonjon, Tessa & Maenhout, Broos, 2022. "An exact approach for the personnel task rescheduling problem with task retiming," European Journal of Operational Research, Elsevier, vol. 296(2), pages 465-484.
    10. 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.
    11. Roshanaei, Vahid & Luong, Curtiss & Aleman, Dionne M. & Urbach, David, 2017. "Propagating logic-based Benders’ decomposition approaches for distributed operating room scheduling," European Journal of Operational Research, Elsevier, vol. 257(2), pages 439-455.
    12. 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.
    13. Silva, Thiago A.O. & de Souza, Mauricio C. & Saldanha, Rodney R. & Burke, Edmund K., 2015. "Surgical scheduling with simultaneous employment of specialised human resources," European Journal of Operational Research, Elsevier, vol. 245(3), pages 719-730.

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