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Branching Strategies in a Branch-and-Price Approach for a Multiple Objective Nurse Scheduling Problem







The efficient management of nursing personnel is of critical importance in a hospital’s environment comprising a vast share of the hospital’s operational costs. The nurse scheduling process affects highly the nurses’ working conditions, which are strongly related to the provided quality of care. In this paper, we consider the rostering over a mid-term period that involves the construction of duty timetables for a set of heterogeneous nurses. In scheduling nursing personnel, the head nurse is typically confronted with various (conflicting) goals complying with different priority levels, which represent the hospital’s policies and the nurses’ preferences. In constructing a nurse roster, nurses need to be assigned to shifts in order to maximize the quality of the constructed timetable satisfying the case-specific time related constraints imposed on the individual nurses’ schedules. Personnel rostering in healthcare institutions is a highly constrained and difficult problem to solve and is known to be NP-hard. In this paper, we present an exact branch-and-price algorithm for solving the nurse scheduling problem incorporating multiple objectives and discuss different branching and pruning strategies. Detailed computational results are presented comparing the proposed branching strategies and indicating the beneficial effect of various principles encouraging computational efficiency.

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  • B. Maenhout & M. Vanhoucke, 2008. "Branching Strategies in a Branch-and-Price Approach for a Multiple Objective Nurse Scheduling Problem," Working Papers of Faculty of Economics and Business Administration, Ghent University, Belgium 08/495, Ghent University, Faculty of Economics and Business Administration.
  • Handle: RePEc:rug:rugwps:08/495

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    Cited by:

    1. Jonas Ingels & Broos Maenhout, 0. "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. 0, pages 1-36.
    2. Dohn, Anders & Mason, Andrew, 2013. "Branch-and-price for staff rostering: An efficient implementation using generic programming and nested column generation," European Journal of Operational Research, Elsevier, vol. 230(1), pages 157-169.
    3. repec:spr:annopr:v:239:y:2016:i:1:d:10.1007_s10479-014-1674-7 is not listed on IDEAS
    4. repec:spr:orspec:v:39:y:2017:i:3:d:10.1007_s00291-017-0476-0 is not listed on IDEAS
    5. repec:spr:annopr:v:258:y:2017:i:2:d:10.1007_s10479-016-2321-2 is not listed on IDEAS
    6. Broos Maenhout & Mario Vanhoucke, 2016. "An exact algorithm for an integrated project staffing problem with a homogeneous workforce," Journal of Scheduling, Springer, vol. 19(2), pages 107-133, April.
    7. Broos Maenhout & Mario Vanhoucke, 2013. "Analyzing the nursing organizational structure and process from a scheduling perspective," Health Care Management Science, Springer, vol. 16(3), pages 177-196, September.
    8. repec:pal:jorsoc:v:60:y:2009:i:12:d:10.1057_jors.2008.131 is not listed on IDEAS

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    Nurse Scheduling; Branch-and-Price; Branching Strategies;

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