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A Different Approach to Nurse Scheduling Problem: Lagrangian Relaxation

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  • Yücel Öztürkoğlu

Abstract

The problem of nurse scheduling is categorized in an Np-Hard complexity as it is inherently composed of many limitations and assumptions. As the number of nurses and the number of days increase, finding the solution of the problem becomes quite difficult. Therefore, this paper propose both an integer-programming model and a Lagrangian relaxation approach for solving nurse-scheduling problem. Numerical results show that while the developed mathematical model works on small-scale problems, Lagrangian relaxation method finds better results for large scale scheduling problem with much smaller duality gap in a reasonable computational time.

Suggested Citation

  • Yücel Öztürkoğlu, 2020. "A Different Approach to Nurse Scheduling Problem: Lagrangian Relaxation," Alphanumeric Journal, Bahadir Fatih Yildirim, vol. 8(2), pages 237-248, December.
    • Handle: RePEc:anm:alpnmr:v:8:y:2020:i:2:p:237-248
    DOI: http://dx.doi.org/10.17093/alphanumeric.659121
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    References listed on IDEAS

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    More about this item

    Keywords

    Lagrangian Relaxation; Mathematical Model; Nurse; Scheduling;
    All these keywords.

    JEL classification:

    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions

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