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Subgraph ejection chains and tabu search for the crew scheduling problem

Author

Listed:
  • L Cavique

    (Instituto Politécnico, EST)

  • C Rego

    (Faculdade de Ciências, DEIO)

  • I Themido

    (Instituto Superior Técnico, CESUR)

Abstract

The tabu search algorithms for the Crew Scheduling Problem (CSP) reported in this paper are part of a decision support system for crew scheduling management of the Lisbon Underground. The CPS is formulated as the minimum number of duties necessary to cover a pre-defined timetable under a set of contractual rules. An initial solution is constructed following a traditional run-cutting approach. Two alternative improvement algorithms are subsequently used to reduce the number of duties in the initial solution. Both algorithms are embedded in a tabu search framework: Tabu-crew takes advantage of a form of strategic oscillation for the neighbourhood search while the run-ejection algorithm considers compound moves based on a subgraph ejection chain method. Computational results are reported for a set of real problems.

Suggested Citation

  • L Cavique & C Rego & I Themido, 1999. "Subgraph ejection chains and tabu search for the crew scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(6), pages 608-616, June.
    • Handle: RePEc:pal:jorsoc:v:50:y:1999:i:6:d:10.1057_palgrave.jors.2600728
    DOI: 10.1057/palgrave.jors.2600728
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    Citations

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    Cited by:

    1. Okan Örsan Özener & Melda Örmeci Matoğlu & Güneş Erdoğan & Mohamed Haouari & Hasan Sözer, 2017. "Solving a large-scale integrated fleet assignment and crew pairing problem," Annals of Operations Research, Springer, vol. 253(1), pages 477-500, June.
    2. Ciancio, Claudio & Laganà, Demetrio & Musmanno, Roberto & Santoro, Francesco, 2018. "An integrated algorithm for shift scheduling problems for local public transport companies," Omega, Elsevier, vol. 75(C), pages 139-153.
    3. Kress, Dominik & Meiswinkel, Sebastian & Pesch, Erwin, 2019. "Straddle carrier routing at seaport container terminals in the presence of short term quay crane buffer areas," European Journal of Operational Research, Elsevier, vol. 279(3), pages 732-750.
    4. Rodriguez-Tello, Eduardo & Hao, Jin-Kao & Torres-Jimenez, Jose, 2008. "An improved simulated annealing algorithm for bandwidth minimization," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1319-1335, March.
    5. Jaime Miranda & Pablo A. Rey & Antoine Sauré & Richard Weber, 2018. "Metro Uses a Simulation-Optimization Approach to Improve Fare-Collection Shift Scheduling," Interfaces, INFORMS, vol. 48(6), pages 529-542, November.
    6. Shen, Yindong & Peng, Kunkun & Chen, Kai & Li, Jingpeng, 2013. "Evolutionary crew scheduling with adaptive chromosomes," Transportation Research Part B: Methodological, Elsevier, vol. 56(C), pages 174-185.
    7. Anthony Han & Elvis Li, 2014. "A constraint programming-based approach to the crew scheduling problem of the Taipei mass rapid transit system," Annals of Operations Research, Springer, vol. 223(1), pages 173-193, December.
    8. G Beddoe & S Petrovic, 2007. "Enhancing case-based reasoning for personnel rostering with selected tabu search concepts," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(12), pages 1586-1598, December.
    9. Haase, Knut, 1999. "Retail business staff scheduling under complex labor relations," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 511, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    10. Mohamed Haouari & Farah Zeghal Mansour & Hanif D. Sherali, 2019. "A New Compact Formulation for the Daily Crew Pairing Problem," Transportation Science, INFORMS, vol. 53(3), pages 811-828, May.
    11. Ernst, A. T. & Jiang, H. & Krishnamoorthy, M. & Sier, D., 2004. "Staff scheduling and rostering: A review of applications, methods and models," European Journal of Operational Research, Elsevier, vol. 153(1), pages 3-27, February.
    12. Rego, César & Duarte, Renato, 2009. "A filter-and-fan approach to the job shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 194(3), pages 650-662, May.
    13. Marta Gomes & Luís Cavique & Isabel Themido, 2006. "The crew timetabling problem: An extension of the crew scheduling problem," Annals of Operations Research, Springer, vol. 144(1), pages 111-132, April.
    14. César Rego & Fred Glover, 2010. "Ejection chain and filter-and-fan methods in combinatorial optimization," Annals of Operations Research, Springer, vol. 175(1), pages 77-105, March.
    15. Attila Tóth & Miklós Krész, 2013. "An efficient solution approach for real-world driver scheduling problems in urban bus transportation," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(1), pages 75-94, June.

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