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An integer linear programming model of staff retention and termination based on multiattribute utility theory.

J R Baker, K E Fitzpatrick

    Socio-Economic Planning Sciences
    |December 11, 1984
    PubMed
    Summary
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    This study uses integer linear programming to optimize recreation therapist staffing, balancing budget and coverage. The model identifies the most effective staff combinations during reductions, ensuring quality care.

    Area of Science:

    • Health Services Management
    • Operations Research
    • Recreation Therapy

    Background:

    • Recreation therapy departments face challenges in optimizing staff allocation, especially during budget constraints.
    • Effective staffing is crucial for maintaining service quality and meeting patient needs.

    Purpose of the Study:

    • To develop an integer linear programming model for recreation therapist staffing.
    • To assess staff effectiveness using performance and experience metrics.
    • To identify optimal staffing combinations under various resource constraints.

    Main Methods:

    • Utilized integer linear programming to model staffing alternatives.
    • Assessed decision-maker utility based on performance and experience.
    • Developed utility approximations using average performance ratings and years of experience.

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  • Maximized total staff utility subject to budget, coverage, and policy constraints.

    • Main Results:

    • The model identified the most effective staff combinations for reduced staffing scenarios.
    • Variations in budget and coverage constraints were analyzed.
    • Model validation confirmed accuracy for a 10% budget decrease scenario.

    Conclusions:

    • Integer linear programming provides a robust framework for recreation therapy staffing optimization.
    • The model effectively balances resource limitations with staff effectiveness.
    • This approach aids in strategic decision-making for departmental resource management.