Summary
Part of Lufthansa’s Crew Management System is the implementation of automatic crew rostering. An appropriate method is to be found for assigning crew members to monthly crew rotations. With regard to computer time (CPU time) and results (minimizing the given objective function) four methods have been compared:
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1)
Simple heuristic method
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2)
Hungarian Method
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3)
Out-of-kilter algorithm
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4)
An approximation method.
Our objective function was: minimum deviation from the mean of the monthly flight hours and/or off-days of the crew members.The data basis we got by simulation with help of random numbers. The effectiveness matrices (cost matrices) we generated day after day with the deviations from the daily optimum. So the monthly assignment process is a heuristic one. The Hungarian Method solves this process best.
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Literatur
U. Gottschling,Ein Nâherungsverfahren für das Zuordnungeproblem, Elektron. Datenverarb., Nr.5, 1970, S.224–226.
Fulkerson, H.An out-of-kilter Method for Minimal Cost Problems, J.Soc.Indust.Appl.Math.,Vol.9,No.1,1961, S.18–27.
Spaeth,Ausgewählte OperationaResearch-Algorithmen in FORTRAN, (Reihe: Verfahren der Datenverarbeitung),Manchen 1975.
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© 1980 Springer-Verlag Berlin Heidelberg
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Buhr, J. (1980). Vier Methoden für die Zuordnung von Flugbesatzungen zu Einsätzen — ein Leistungsvergleich. In: Schwarze, J., von Dobschütz, L., Fleischmann, B., Schneeweiß, C., Steckhan, H. (eds) Vorträge der Jahrestagung 1979 / Papers of the Annual Meeting 1979. Proceedings in Operations Research 9, vol 1979. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-00401-2_33
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DOI: https://doi.org/10.1007/978-3-662-00401-2_33
Publisher Name: Physica, Heidelberg
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