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An enhanced branch-and-bound algorithm for the talent scheduling problem

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  • Qin, Hu
  • Zhang, Zizhen
  • Lim, Andrew
  • Liang, Xiaocong

Abstract

The talent scheduling problem is a simplified version of the real-world film shooting problem, which aims to determine a shooting sequence so as to minimize the total cost of the actors involved. In this article, we first formulate the problem as an integer linear programming model. Next, we devise a branch-and-bound algorithm to solve the problem. The branch-and-bound algorithm is enhanced by several accelerating techniques, including preprocessing, dominance rules and caching search states. Extensive experiments over two sets of benchmark instances suggest that our algorithm is superior to the current best exact algorithm. Finally, the impacts of different parameter settings, algorithm components and instance generation distributions are disclosed by some additional experiments.

Suggested Citation

  • Qin, Hu & Zhang, Zizhen & Lim, Andrew & Liang, Xiaocong, 2016. "An enhanced branch-and-bound algorithm for the talent scheduling problem," European Journal of Operational Research, Elsevier, vol. 250(2), pages 412-426.
    • Handle: RePEc:eee:ejores:v:250:y:2016:i:2:p:412-426
    DOI: 10.1016/j.ejor.2015.10.002
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    References listed on IDEAS

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    1. Maria Garcia de la Banda & Peter J. Stuckey & Geoffrey Chu, 2011. "Solving Talent Scheduling with Dynamic Programming," INFORMS Journal on Computing, INFORMS, vol. 23(1), pages 120-137, February.
    2. Zhang, Zizhen & Qin, Hu & Zhu, Wenbin & Lim, Andrew, 2012. "The single vehicle routing problem with toll-by-weight scheme: A branch-and-bound approach," European Journal of Operational Research, Elsevier, vol. 220(2), pages 295-304.
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    5. Braune, R. & Zäpfel, G. & Affenzeller, M., 2012. "An exact approach for single machine subproblems in shifting bottleneck procedures for job shops with total weighted tardiness objective," European Journal of Operational Research, Elsevier, vol. 218(1), pages 76-85.
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    Cited by:

    1. Emili Vizuete-Luciano & Sefa Boria-Reverter & José M. Merigó-Lindahl & Anna Maria Gil-Lafuente & Maria Luisa Solé-Moro, 2021. "Fuzzy Branch-and-Bound Algorithm with OWA Operators in the Case of Consumer Decision Making," Mathematics, MDPI, vol. 9(23), pages 1-16, November.

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