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Scheduling cleaning activities on trains by minimizing idle times

Author

Listed:
  • Enrico Bartolini

    (RWTH Aachen University)

  • Mauro Dell’Amico

    (University of Modena and Reggio Emilia)

  • Manuel Iori

    (University of Modena and Reggio Emilia)

Abstract

We consider a workforce scheduling problem which consists of determining optimal working shifts for cleaning personnel at a rail station. Trains arrive and depart according to a specified schedule and require a given amount of cleaning time from the personnel before their departure from the station. Working shifts must specify a sequence of trains to be cleaned by a worker together with corresponding cleaning times and are subject to contract regulations which impose both a minimum and a maximum duration of the shift. We model the problem as a mixed-integer program with a pseudo-polynomial number of variables and propose an exponentially sized reformulation obtained through Dantzig–Wolfe reformulation. The reformulation is strengthened by valid inequalities and used to compute lower bounds on the optimal cost. A heuristic algorithm based on column generation and variable fixing is then proposed and computationally evaluated on both a set of instances derived from real data and a larger set of randomly generated ones. The reported computational results show that the algorithm provides solutions very close to the optimal ones within 1 h of computing time.

Suggested Citation

  • Enrico Bartolini & Mauro Dell’Amico & Manuel Iori, 2017. "Scheduling cleaning activities on trains by minimizing idle times," Journal of Scheduling, Springer, vol. 20(5), pages 493-506, October.
    • Handle: RePEc:spr:jsched:v:20:y:2017:i:5:d:10.1007_s10951-017-0517-1
    DOI: 10.1007/s10951-017-0517-1
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    References listed on IDEAS

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    1. Christian Tilk & Stefan Irnich, 2014. "Dynamic Programming for the Minimum Tour Duration Problem," Working Papers 1408, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz, revised 04 Aug 2014.
    2. Paolo Serafini, 1996. "Scheduling Jobs on Several Machines with the Job Splitting Property," Operations Research, INFORMS, vol. 44(4), pages 617-628, August.
    3. Roberto Roberti & Enrico Bartolini & Aristide Mingozzi, 2015. "The Fixed Charge Transportation Problem: An Exact Algorithm Based on a New Integer Programming Formulation," Management Science, INFORMS, vol. 61(6), pages 1275-1291, June.
    4. Guy Desaulniers, 2010. "Branch-and-Price-and-Cut for the Split-Delivery Vehicle Routing Problem with Time Windows," Operations Research, INFORMS, vol. 58(1), pages 179-192, February.
    5. George B. Dantzig & Philip Wolfe, 1960. "Decomposition Principle for Linear Programs," Operations Research, INFORMS, vol. 8(1), pages 101-111, February.
    6. C N Potts & V A Strusevich, 2009. "Fifty years of scheduling: a survey of milestones," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 41-68, May.
    7. A Lim & B Rodrigues & L Song, 2004. "Manpower allocation with time windows," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(11), pages 1178-1186, November.
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