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An integer programming approach for the physician rostering problem

Author

Listed:
  • Toni I. Wickert

    (Federal University of Rio Grande do Sul (UFRGS)
    KU Leuven)

  • Alberto F. Kummer Neto

    (Federal University of Rio Grande do Sul (UFRGS))

  • Márcio M. Boniatti

    (Hospital de Clínicas de Porto Alegre (HCPA))

  • Luciana S. Buriol

    (Federal University of Rio Grande do Sul (UFRGS))

Abstract

This paper presents an integer programming model and a matheuristic for the physician rostering problem. Constraints related to physician’s preferences, legal restrictions, hospital requirements and workload balance are investigated. Moreover, a comparison of physician and nurse rostering is analyzed to identify common constraints present in both problems. The lack of a mathematical model that could be applied in the studied problem motivated the development of a new formulation. Data and constraints of the proposed physician rostering problem were provided by Hospital de Clínicas de Porto Alegre (HCPA), Brazil. Due to the difficulty of solving large instances, a matheuristic which combines integer programming and heuristic techniques was proposed to approach the problem. Computational experiments were conducted employing commercial and open-source solvers. Results revealed that open-source solvers are a good alternative to solve small problems, while the proposed matheuristic generated near-optimal results within acceptable computation time employing larger instances.

Suggested Citation

  • Toni I. Wickert & Alberto F. Kummer Neto & Márcio M. Boniatti & Luciana S. Buriol, 2021. "An integer programming approach for the physician rostering problem," Annals of Operations Research, Springer, vol. 302(2), pages 363-390, July.
    • Handle: RePEc:spr:annopr:v:302:y:2021:i:2:d:10.1007_s10479-020-03552-5
    DOI: 10.1007/s10479-020-03552-5
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    References listed on IDEAS

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