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A Branch and Bound Algorithm for Optimum Allocation of Float Nurses

Author

Listed:
  • Vandankumar M. Trivedi

    (University of Washington)

  • D. Michael Warner

    (Duke University)

Abstract

This paper discusses a methodology developed for allocation of float nurses in short-term general hospitals. The severity of need for nursing care on a unit is measured from the perceptions of head nurses of the unit. A multivariate regression model is used to predict head nurses perceptions at the beginning of a shift from certain auditable variables. The multivariate regressions are used as an objective function in a branch and bound allocation model designed to allocate float nurses before the start of a shift. The model is tested in five nursing units of a study hospital, and results are presented.

Suggested Citation

  • Vandankumar M. Trivedi & D. Michael Warner, 1976. "A Branch and Bound Algorithm for Optimum Allocation of Float Nurses," Management Science, INFORMS, vol. 22(9), pages 972-981, May.
    • Handle: RePEc:inm:ormnsc:v:22:y:1976:i:9:p:972-981
    DOI: 10.1287/mnsc.22.9.972
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    Cited by:

    1. Li, Ling & Benton, W. C., 2003. "Hospital capacity management decisions: Emphasis on cost control and quality enhancement," European Journal of Operational Research, Elsevier, vol. 146(3), pages 596-614, May.
    2. Gerard M. Campbell, 1999. "Cross-Utilization of Workers Whose Capabilities Differ," Management Science, INFORMS, vol. 45(5), pages 722-732, May.
    3. Wright, P. Daniel & Mahar, Stephen, 2013. "Centralized nurse scheduling to simultaneously improve schedule cost and nurse satisfaction," Omega, Elsevier, vol. 41(6), pages 1042-1052.
    4. Campbell, Gerard M. & Diaby, Moustapha, 2002. "Development and evaluation of an assignment heuristic for allocating cross-trained workers," European Journal of Operational Research, Elsevier, vol. 138(1), pages 9-20, April.
    5. Jonas Ingels & Broos Maenhout, 2017. "Employee substitutability as a tool to improve the robustness in personnel scheduling," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 39(3), pages 623-658, July.
    6. Maenhout, Broos & Vanhoucke, Mario, 2013. "An integrated nurse staffing and scheduling analysis for longer-term nursing staff allocation problems," Omega, Elsevier, vol. 41(2), pages 485-499.
    7. Kayse Lee Maass & Boying Liu & Mark S. Daskin & Mary Duck & Zhehui Wang & Rama Mwenesi & Hannah Schapiro, 2017. "Incorporating nurse absenteeism into staffing with demand uncertainty," Health Care Management Science, Springer, vol. 20(1), pages 141-155, March.
    8. Sabah M. Al-Najjar & Samir Hussain Ali, 2011. "Staffing and Scheduling Emergency Rooms in Two Public Hospitals: A Case Study," International Journal of Business Administration, International Journal of Business Administration, Sciedu Press, vol. 2(2), pages 137-148, May.
    9. Li, L. X. & Benton, W. C., 1996. "Performance measurement criteria in health care organizations: Review and future research directions," European Journal of Operational Research, Elsevier, vol. 93(3), pages 449-468, September.
    10. Ana Paias & Marta Mesquita & Margarida Moz & Margarida Pato, 2021. "A network flow-based algorithm for bus driver rerostering," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 43(2), pages 543-576, June.
    11. Vanhoucke, Mario & Maenhout, Broos, 2009. "On the characterization and generation of nurse scheduling problem instances," European Journal of Operational Research, Elsevier, vol. 196(2), pages 457-467, July.
    12. Kortbeek, N. & Braaksma, A. & Burger, C.A.J. & Bakker, P.J.M. & Boucherie, R.J., 2015. "Flexible nurse staffing based on hourly bed census predictions," International Journal of Production Economics, Elsevier, vol. 161(C), pages 167-180.
    13. Brusco, Michael J., 2015. "A bicriterion algorithm for the allocation of cross-trained workers based on operational and human resource objectives," European Journal of Operational Research, Elsevier, vol. 247(1), pages 46-59.
    14. Gordon H. Lewis & Ashok Srinivasan & Eswaran Subrahmanian, 1998. "Staffing and Allocation of Workers in an Administrative Office," Management Science, INFORMS, vol. 44(4), pages 548-570, April.
    15. Dellaert, Nico & Jeunet, Jully & Mincsovics, Gergely, 2011. "Budget allocation for permanent and contingent capacity under stochastic demand," International Journal of Production Economics, Elsevier, vol. 131(1), pages 128-138, May.

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