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A branch-and-price approach for large-scale employee tour scheduling problems

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  • Hua Ni
  • Hernán Abeledo

Abstract

We present a new methodology for solving large-scale employee tour scheduling problems. An integer programming model is proposed where tours are decomposed into shifts and start times. This formulation can model complex shift and start time rules for both continuous and discontinuous scheduling problems. A branch-and-price approach is devised to solve this model efficiently. The methodology was tested on the largest tour scheduling problems found in the open literature. In comparison with an alternative implicit model, our approach showed superior computational performance. Copyright Springer Science+Business Media, LLC 2007

Suggested Citation

  • Hua Ni & Hernán Abeledo, 2007. "A branch-and-price approach for large-scale employee tour scheduling problems," Annals of Operations Research, Springer, vol. 155(1), pages 167-176, November.
  • Handle: RePEc:spr:annopr:v:155:y:2007:i:1:p:167-176:10.1007/s10479-007-0212-2
    DOI: 10.1007/s10479-007-0212-2
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    References listed on IDEAS

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    1. Anuj Mehrotra & Kenneth E. Murphy & Michael A. Trick, 2000. "Optimal shift scheduling: A branch‐and‐price approach," Naval Research Logistics (NRL), John Wiley & Sons, vol. 47(3), pages 185-200, April.
    2. Tolga Çezik & Oktay Günlük & Hanan Luss, 2001. "An integer programming model for the weekly tour scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 48(7), pages 607-624, October.
    3. John J. Bartholdi, 1981. "A Guaranteed-Accuracy Round-off Algorithm for Cyclic Scheduling and Set Covering," Operations Research, INFORMS, vol. 29(3), pages 501-510, June.
    4. Mark Isken, 2004. "An Implicit Tour Scheduling Model with Applications in Healthcare," Annals of Operations Research, Springer, vol. 128(1), pages 91-109, April.
    5. R. N. Burns & M. W. Carter, 1985. "Work Force Size and Single Shift Schedules with Variable Demands," Management Science, INFORMS, vol. 31(5), pages 599-607, May.
    6. 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.
    7. Bechtold, Stephen E. & Brusco, Michael J., 1994. "Working set generation methods for labor tour scheduling," European Journal of Operational Research, Elsevier, vol. 74(3), pages 540-551, May.
    8. Michael J. Brusco & Larry W. Jacobs, 1998. "Personnel Tour Scheduling When Starting-Time Restrictions Are Present," Management Science, INFORMS, vol. 44(4), pages 534-547, April.
    9. James G. Morris & Michael J. Showalter, 1983. "Simple Approaches to Shift, Days-Off and Tour Scheduling Problems," Management Science, INFORMS, vol. 29(8), pages 942-950, August.
    10. Michael J. Brusco & Larry W. Jacobs, 2000. "Optimal Models for Meal-Break and Start-Time Flexibility in Continuous Tour Scheduling," Management Science, INFORMS, vol. 46(12), pages 1630-1641, December.
    11. Larry W. Jacobs & Michael J. Brusco, 1996. "Overlapping Start-Time Bands in Implicit Tour Scheduling," Management Science, INFORMS, vol. 42(9), pages 1247-1259, September.
    12. Stephen E. Bechtold & Larry W. Jacobs, 1990. "Implicit Modeling of Flexible Break Assignments in Optimal Shift Scheduling," Management Science, INFORMS, vol. 36(11), pages 1339-1351, November.
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    Cited by:

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    2. Mark W. Isken & Osman T. Aydas, 2022. "A tactical multi-week implicit tour scheduling model with applications in healthcare," Health Care Management Science, Springer, vol. 25(4), pages 551-573, December.
    3. Marta Rocha & José Oliveira & Maria Carravilla, 2014. "A constructive heuristic for staff scheduling in the glass industry," Annals of Operations Research, Springer, vol. 217(1), pages 463-478, June.
    4. Van den Bergh, Jorne & Beliën, Jeroen & De Bruecker, Philippe & Demeulemeester, Erik & De Boeck, Liesje, 2013. "Personnel scheduling: A literature review," European Journal of Operational Research, Elsevier, vol. 226(3), pages 367-385.
    5. Ferdinand Kiermaier & Markus Frey & Jonathan F. Bard, 2020. "The flexible break assignment problem for large tour scheduling problems with an application to airport ground handlers," Journal of Scheduling, Springer, vol. 23(2), pages 177-209, April.
    6. María I. Restrepo & Bernard Gendron & Louis-Martin Rousseau, 2016. "Branch-and-Price for Personalized Multiactivity Tour Scheduling," INFORMS Journal on Computing, INFORMS, vol. 28(2), pages 334-350, May.
    7. Wasakorn Laesanklang & Dario Landa-Silva, 2017. "Decomposition techniques with mixed integer programming and heuristics for home healthcare planning," Annals of Operations Research, Springer, vol. 256(1), pages 93-127, September.

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