IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v273y2019i3p831-840.html
   My bibliography  Save this article

A mixed integer programming approach to the patient admission scheduling problem

Author

Listed:
  • Bastos, Leonardo S.L.
  • Marchesi, Janaina F.
  • Hamacher, Silvio
  • Fleck, Julia L.

Abstract

Among the many challenges involved in efficient healthcare resource planning, the Patient Admission Scheduling Problem is of particular significance, impacting organizational decisions at all planning levels. The problem of scheduling patient admissions involves assigning patients to beds over a given time horizon so as to maximize treatment efficiency, patient comfort and hospital utilization, while satisfying all necessary medical constraints and taking into consideration patient preferences as much as possible. A number of different variants of the Patient Admission Scheduling Problem exist at the strategic, tactical, and operational levels. In this paper, we consider a static offline operational level variant for which we propose a comprehensive mixed integer programming formulation and advance an exact solution method. We generate new best found solutions for 9 out of 13 benchmark instances from a publicly available repository. Additionally, we prove the optimality of two best known solutions reported in the literature.

Suggested Citation

  • Bastos, Leonardo S.L. & Marchesi, Janaina F. & Hamacher, Silvio & Fleck, Julia L., 2019. "A mixed integer programming approach to the patient admission scheduling problem," European Journal of Operational Research, Elsevier, vol. 273(3), pages 831-840.
    • Handle: RePEc:eee:ejores:v:273:y:2019:i:3:p:831-840
    DOI: 10.1016/j.ejor.2018.09.003
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221718307495
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2018.09.003?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Christiane Barz & Kumar Rajaram, 2015. "Elective Patient Admission and Scheduling under Multiple Resource Constraints," Production and Operations Management, Production and Operations Management Society, vol. 24(12), pages 1907-1930, December.
    2. Vissers, Jan M.H. & Adan, Ivo J.B.F. & Dellaert, Nico P., 2007. "Developing a platform for comparison of hospital admission systems: An illustration," European Journal of Operational Research, Elsevier, vol. 180(3), pages 1290-1301, August.
    3. Kusters, Rob J. & Groot, Petra M. A., 1996. "Modelling resource availability in general hospitals design and implementation of a decision support model," European Journal of Operational Research, Elsevier, vol. 88(3), pages 428-445, February.
    4. James C. Riley, 2005. "Estimates of Regional and Global Life Expectancy, 1800–2001," Population and Development Review, The Population Council, Inc., vol. 31(3), pages 537-543, September.
    5. Range, Troels Martin & Lusby, Richard Martin & Larsen, Jesper, 2014. "A column generation approach for solving the patient admission scheduling problem," European Journal of Operational Research, Elsevier, vol. 235(1), pages 252-264.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yaxin Huang & Xinyu Lou & Changqing Wang & Zhisong Chen, 2022. "Incentive Mechanism Design in Collaborative Management of Public Health Emergencies," Sustainability, MDPI, vol. 14(12), pages 1-25, June.
    2. Jian-Jun Wang & Zongli Dai & Ai-Chih Chang & Jim Junmin Shi, 2022. "Surgical scheduling by Fuzzy model considering inpatient beds shortage under uncertain surgery durations," Annals of Operations Research, Springer, vol. 315(1), pages 463-505, August.
    3. Chengliang Wang & Feifei Yang & Quan-Lin Li, 2023. "Optimal Decision of Dynamic Bed Allocation and Patient Admission with Buffer Wards during an Epidemic," Mathematics, MDPI, vol. 11(3), pages 1-23, January.
    4. Namakshenas, Mohammad & Mazdeh, Mohammad Mahdavi & Braaksma, Aleida & Heydari, Mehdi, 2023. "Appointment scheduling for medical diagnostic centers considering time-sensitive pharmaceuticals: A dynamic robust optimization approach," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1018-1031.
    5. Alves de Queiroz, Thiago & Iori, Manuel & Kramer, Arthur & Kuo, Yong-Hong, 2023. "Dynamic scheduling of patients in emergency departments," European Journal of Operational Research, Elsevier, vol. 310(1), pages 100-116.
    6. Fabian Schäfer & Manuel Walther & Dominik G. Grimm & Alexander Hübner, 2023. "Combining machine learning and optimization for the operational patient-bed assignment problem," Health Care Management Science, Springer, vol. 26(4), pages 785-806, December.
    7. Aleida Braaksma & Martin S. Copenhaver & Ana C. Zenteno & Elizabeth Ugarph & Retsef Levi & Bethany J. Daily & Benjamin Orcutt & Kathryn M. Turcotte & Peter F. Dunn, 2023. "Evaluation and implementation of a Just-In-Time bed-assignment strategy to reduce wait times for surgical inpatients," Health Care Management Science, Springer, vol. 26(3), pages 501-515, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Guido, Rosita & Groccia, Maria Carmela & Conforti, Domenico, 2018. "An efficient matheuristic for offline patient-to-bed assignment problems," European Journal of Operational Research, Elsevier, vol. 268(2), pages 486-503.
    2. Yang, Xiaopeng & Zheng, Danheng & Sieminowski, Tammy & Paradi, Joseph C., 2015. "A dynamic benchmarking system for assessing the recovery of inpatients: Evidence from the neurorehabilitation process," European Journal of Operational Research, Elsevier, vol. 240(2), pages 582-591.
    3. Lusby, Richard Martin & Schwierz, Martin & Range, Troels Martin & Larsen, Jesper, 2016. "An Adaptive Large Neighbourhood Search Procedure Applied to the Dynamic Patient Admission Scheduling Problem," Discussion Papers on Economics 1/2016, University of Southern Denmark, Department of Economics.
    4. Marynissen, Joren & Demeulemeester, Erik, 2019. "Literature review on multi-appointment scheduling problems in hospitals," European Journal of Operational Research, Elsevier, vol. 272(2), pages 407-419.
    5. J. Behnamian & Z. Gharabaghli, 2023. "Multi-objective outpatient scheduling in health centers considering resource constraints and service quality: a robust optimization approach," Journal of Combinatorial Optimization, Springer, vol. 45(2), pages 1-35, March.
    6. Mielczarek, Bożena, 2014. "Simulation modelling for contracting hospital emergency services at the regional level," European Journal of Operational Research, Elsevier, vol. 235(1), pages 287-299.
    7. Guglielmo Maria Caporale & Juan Infante & Marta Rio & Luis A. Gil-Alana, 2023. "Persistence in UK Historical Data on Life Expectancy," Population Research and Policy Review, Springer;Southern Demographic Association (SDA), vol. 42(4), pages 1-11, August.
    8. Range, Troels Martin & Lusby, Richard Martin & Larsen, Jesper, 2014. "A column generation approach for solving the patient admission scheduling problem," European Journal of Operational Research, Elsevier, vol. 235(1), pages 252-264.
    9. Kaining Shao & Wenjuan Fan & Zishu Yang & Shanlin Yang & Panos M. Pardalos, 2022. "A column generation approach for patient scheduling with setup time and deteriorating treatment duration," Operational Research, Springer, vol. 22(3), pages 2555-2586, July.
    10. Gallardo-Albarrán, Daniel, 2019. "Missed opportunities? Human welfare in Western Europe and the United States, 1913–1950," Explorations in Economic History, Elsevier, vol. 72(C), pages 57-73.
    11. James A. Brander, 2010. "Presidential Address: Innovation in retrospect and prospect," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 43(4), pages 1087-1121, November.
    12. Carri W. Chan & Linda V. Green & Suparerk Lekwijit & Lijian Lu & Gabriel Escobar, 2019. "Assessing the Impact of Service Level When Customer Needs Are Uncertain: An Empirical Investigation of Hospital Step-Down Units," Management Science, INFORMS, vol. 65(2), pages 751-775, February.
    13. Daniel Gallardo Albarr‡n, 2017. "Missed opportunities? The development of human welfare in Western Europe, 1913-1950," Working Papers 0114, European Historical Economics Society (EHES).
    14. Seokjun Youn & H. Neil Geismar & Michael Pinedo, 2022. "Planning and scheduling in healthcare for better care coordination: Current understanding, trending topics, and future opportunities," Production and Operations Management, Production and Operations Management Society, vol. 31(12), pages 4407-4423, December.
    15. Jonas Schöley & José Manuel Aburto & Ilya Kashnitsky & Maxi S. Kniffka & Luyin Zhang & Hannaliis Jaadla & Jennifer B. Dowd & Ridhi Kashyap, 2022. "Life expectancy changes since COVID-19," Nature Human Behaviour, Nature, vol. 6(12), pages 1649-1659, December.
    16. Jie Bai & Andreas Fügener & Jochen Gönsch & Jens O. Brunner & Manfred Blobner, 2021. "Managing admission and discharge processes in intensive care units," Health Care Management Science, Springer, vol. 24(4), pages 666-685, December.
    17. Weil, David N., 2014. "Health and Economic Growth," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 2, chapter 3, pages 623-682, Elsevier.
    18. Ana Batista & Jorge Vera & David Pozo, 2020. "Multi-objective admission planning problem: a two-stage stochastic approach," Health Care Management Science, Springer, vol. 23(1), pages 51-65, March.
    19. 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.
    20. Salvatore F. Pileggi, 2021. "Life before COVID-19: how was the World actually performing?," Quality & Quantity: International Journal of Methodology, Springer, vol. 55(5), pages 1871-1888, October.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:273:y:2019:i:3:p:831-840. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.