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Multi-objective allocation of multi-function workers with lower bounded capacity

Author

Listed:
  • A Corominas

    (Research Institute IOC, Universitat Politècnica de Catalunya)

  • J Ojeda

    (Centre CIM, Universitat Politècnica de Catalunya)

  • R Pastor

    (Research Institute IOC, Universitat Politècnica de Catalunya)

Abstract

This paper deals with the assignment of a type of task to each member of a multi-function staff (each worker is able to perform a given subset of types of tasks, possibly with a priority index associated to each element of the subset). The resulting number of workers for each type of task must be not less than a given lower bound and as close as possible to another given value. The objectives are to minimize a function of the slacks and the surpluses of capacity, to distribute the slacks and the surpluses homogeneously among the types of task and to maximize the sum of priority indexes of the assignments. The problem is modelled as a nonlinear mixed integer program and is transformed and solved as a minimum cost flow problem.

Suggested Citation

  • A Corominas & J Ojeda & R Pastor, 2005. "Multi-objective allocation of multi-function workers with lower bounded capacity," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(6), pages 738-743, June.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:6:d:10.1057_palgrave.jors.2601871
    DOI: 10.1057/palgrave.jors.2601871
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    References listed on IDEAS

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    1. 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.
    2. William J. Abernathy & Nicholas Baloff & John C. Hershey & Sten Wandel, 1973. "A Three-Stage Manpower Planning and Scheduling Model—A Service-Sector Example," Operations Research, INFORMS, vol. 21(3), pages 693-711, June.
    3. A Corominas & A Lusa & R Pastor, 2002. "Using MILP to plan annualised working hours," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(10), pages 1101-1108, October.
    4. Campbell, Gerard M. & Diaby, Moustapha, 2002. "Development and evaluation of an assignment heuristic for allocating cross-trained workers," European Journal of Operational Research, Elsevier, vol. 138(1), pages 9-20, April.
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    Cited by:

    1. Corominas, Albert & Pastor, Rafael & Rodriguez, Ericka, 2006. "Rotational allocation of tasks to multifunctional workers in a service industry," International Journal of Production Economics, Elsevier, vol. 103(1), pages 3-9, September.
    2. M A Haughton, 2009. "An alternative tactic to deal with the contingency of driver absenteeism," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(9), pages 1207-1220, September.
    3. Fernandes, Rui & Gouveia, Borges & Pinho, Carlos, 2013. "A real options approach to labour shifts planning under different service level targets," European Journal of Operational Research, Elsevier, vol. 231(1), pages 182-189.
    4. Pastor, Rafael & Olivella, Jordi, 2008. "Selecting and adapting weekly work schedules with working time accounts: A case of a retail clothing chain," European Journal of Operational Research, Elsevier, vol. 184(1), pages 1-12, January.
    5. X Zhu & H D Sherali, 2009. "Two-stage workforce planning under demand fluctuations and uncertainty," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 94-103, January.

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    manpower planning; networks;

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