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Cross-Utilization of Workers Whose Capabilities Differ

  • Gerard M. Campbell

    (Department of Operations and Information Management, University of Connecticut, Storrs, Connecticut 06269)

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    This paper develops a model for allocating cross-trained workers at the beginning of a shift in a multidepartment service environment. It assumes departments are trying to maximize objective functions that are concave with respect to the number of workers assigned. Worker capabilities are described by parameters that range from zero to one, with fractional values representing workers who are less than fully qualified. The nonlinear programming model presented is a variant of the generalized assignment problem. The model is used in a series of experiments to investigate the value of cross-utilization as a function of factors such as demand variability and levels of cross-training. Results show that the benefits of cross-utilization can be substantial, and in many cases a small degree of cross-training can capture most of the benefits. Beyond a certain amount additional cross-training adds little additional value, and the preferred amount depends heavily on the level of demand variability.

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    File URL: http://dx.doi.org/10.1287/mnsc.45.5.722
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    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 45 (1999)
    Issue (Month): 5 (May)
    Pages: 722-732

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    Handle: RePEc:inm:ormnsc:v:45:y:1999:i:5:p:722-732
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    1. Gary M. Thompson, 1995. "Improved Implicit Optimal Modeling of the Labor Shift Scheduling Problem," Management Science, INFORMS, vol. 41(4), pages 595-607, April.
    2. Fred F. Easton & Donald F. Rossin, 1991. "Sufficient Working Subsets for the Tour Scheduling Problem," Management Science, INFORMS, vol. 37(11), pages 1441-1451, November.
    3. Turgut Aykin, 1996. "Optimal Shift Scheduling with Multiple Break Windows," Management Science, INFORMS, vol. 42(4), pages 591-602, April.
    4. Cattrysse, Dirk G. & Van Wassenhove, Luk N., 1992. "A survey of algorithms for the generalized assignment problem," European Journal of Operational Research, Elsevier, vol. 60(3), pages 260-272, August.
    5. Ahmad I. Z. Jarrah & Jonathan F. Bard & Anura H. deSilva, 1994. "Solving Large-Scale Tour Scheduling Problems," Management Science, INFORMS, vol. 40(9), pages 1124-1144, September.
    6. Vandankumar M. Trivedi & D. Michael Warner, 1976. "A Branch and Bound Algorithm for Optimum Allocation of Float Nurses," Management Science, INFORMS, vol. 22(9), pages 972-981, May.
    7. D. Michael Warner & Juan Prawda, 1972. "A Mathematical Programming Model for Scheduling Nursing Personnel in a Hospital," Management Science, INFORMS, vol. 19(4-Part-1), pages 411-422, December.
    8. Siferd, Sue Perrott & Benton, W. C., 1992. "Workforce staffing and scheduling: Hospital nursing specific models," European Journal of Operational Research, Elsevier, vol. 60(3), pages 233-246, August.
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