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Long-term staffing based on qualification profiles

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  • Andreas Drexl
  • Martin Mundschenk

Abstract

Manpower still is one of the most expensive resources, in spite of increasing automation. While employee scheduling and rostering has been the topic of extensive research over the past decades, usually it is assumed that the demand for staff is either given or can be obtained without difficulty. In this research we provide an integer programming model for long-term staffing decisions which fits to the needs of manufacturing-to-order companies. The model is based on qualification profiles, the number of which grows exponentially in terms of the number of processes considered. In order to compute tight lower bounds we provide a column generation technique. The subproblem is a shortest path problem in a network where the arcs have multiple weights. Upper bounds, that is, feasible solutions are calculated by means of local search. We present computational results for randomly generated instances and empirical results for examples from practice. The results show that substantial cost savings can be achieved. Copyright Springer-Verlag 2008

Suggested Citation

  • Andreas Drexl & Martin Mundschenk, 2008. "Long-term staffing based on qualification profiles," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 68(1), pages 21-47, August.
  • Handle: RePEc:spr:mathme:v:68:y:2008:i:1:p:21-47
    DOI: 10.1007/s00186-007-0192-7
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    1. David S. Johnson & Cecilia R. Aragon & Lyle A. McGeoch & Catherine Schevon, 1991. "Optimization by Simulated Annealing: An Experimental Evaluation; Part II, Graph Coloring and Number Partitioning," Operations Research, INFORMS, vol. 39(3), pages 378-406, June.
    2. David S. Johnson & Cecilia R. Aragon & Lyle A. McGeoch & Catherine Schevon, 1989. "Optimization by Simulated Annealing: An Experimental Evaluation; Part I, Graph Partitioning," Operations Research, INFORMS, vol. 37(6), pages 865-892, December.
    3. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    4. Hyun-Soo Ahn & Rhonda Righter & J. Shanthikumar, 2005. "Staffing decisions for heterogeneous workers with turnover," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 62(3), pages 499-514, December.
    5. Thompson, Gary M. & Goodale, John C., 2006. "Variable employee productivity in workforce scheduling," European Journal of Operational Research, Elsevier, vol. 170(2), pages 376-390, April.
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