An integer programming approach for the physician rostering problem

Toni I. Wickert (), Alberto F. Kummer Neto (), Márcio M. Boniatti () and Luciana S. Buriol ()
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Toni I. Wickert: Federal University of Rio Grande do Sul (UFRGS)
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)

Annals of Operations Research, 2021, vol. 302, issue 2, No 3, 363-390

Abstract: 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.

Keywords: Physician rostering; Integer programming; Matheuristic (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s10479-020-03552-5

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