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Theoretical and algorithmic results for a class of hierarchical fleet mix problems

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  • Cambini, Riccardo
  • Riccardi, Rossana

Abstract

In this paper a workforce model is studied from both a theoretical and an algorithmic point of view. In the considered hierarchical model workforce units can be substituted by higher qualified ones; external workforce can also be hired to cover low qualified jobs. An exact recursive solution algorithm is proposed to solve the problems and its efficiency is improved by means of cut conditions and discrete convexity properties. Finally, the results of a computational test are provided.

Suggested Citation

  • Cambini, Riccardo & Riccardi, Rossana, 2009. "Theoretical and algorithmic results for a class of hierarchical fleet mix problems," European Journal of Operational Research, Elsevier, vol. 198(3), pages 741-747, November.
  • Handle: RePEc:eee:ejores:v:198:y:2009:i:3:p:741-747
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    References listed on IDEAS

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    1. F-H Liu & S-Y Shen, 1999. "The fleet size and mix vehicle routing problem with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(7), pages 721-732, July.
    2. W Dullaert & G K Janssens & K Sörensen & B Vernimmen, 2002. "New heuristics for the Fleet Size and Mix Vehicle Routing Problem with Time Windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(11), pages 1232-1238, November.
    3. Ulusam Seckiner, Serap & Gokcen, Hadi & Kurt, Mustafa, 2007. "An integer programming model for hierarchical workforce scheduling problem," European Journal of Operational Research, Elsevier, vol. 183(2), pages 694-699, December.
    4. Hung, Rudy, 1994. "Single-shift off-day scheduling of a hierarchical workforce with variable demands," European Journal of Operational Research, Elsevier, vol. 78(1), pages 49-57, October.
    5. Carlos Azmat & Tony Hürlimann & Marino Widmer, 2004. "Mixed Integer Programming to Schedule a Single-Shift Workforce under Annualized Hours," Annals of Operations Research, Springer, vol. 128(1), pages 199-215, April.
    6. R. N. Burns & G. J. Koop, 1987. "A Modular Approach to Optimal Multiple-Shift Manpower Scheduling," Operations Research, INFORMS, vol. 35(1), pages 100-110, February.
    7. C D Tarantilis & C T Kiranoudis & V S Vassiliadis, 2003. "A list based threshold accepting metaheuristic for the heterogeneous fixed fleet vehicle routing problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(1), pages 65-71, January.
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