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A Recovering Beam Search algorithm for the one-machine dynamic total completion time scheduling problem

Author

Listed:
  • F Della Croce

    (DAI, Politecnico di Torino)

  • V T'kindt

    (E3I, Université de Tours)

Abstract

This paper deals with the one-machine dynamic total completion time scheduling problem. This problem is known to be NP-hard in the strong sense. A polynomial time heuristic algorithm is proposed which applies the recently introduced Recovering Beam Search (RBS) approach. The algorithm is based on a beam search procedure with unitary beam width and includes a recovering subroutine that allows to overcome wrong decisions taken at higher levels of the beam search tree. It is shown that the total number of considered nodes is bounded by n where n is the jobsize. The proposed algorithm is able to solve in very short CPU time problems with up to 500 jobs outperforming the best state of the art heuristics.

Suggested Citation

  • F Della Croce & V T'kindt, 2002. "A Recovering Beam Search algorithm for the one-machine dynamic total completion time scheduling problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(11), pages 1275-1280, November.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:11:d:10.1057_palgrave.jors.2601389
    DOI: 10.1057/palgrave.jors.2601389
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    Citations

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    Cited by:

    1. Jorge M. S. Valente, 2005. "Beam search algorithms for the single machine total weighted tardiness scheduling problem with sequence-dependent setups," FEP Working Papers 186, Universidade do Porto, Faculdade de Economia do Porto.
    2. Gurel, Sinan & Akturk, M. Selim, 2007. "Optimal allocation and processing time decisions on non-identical parallel CNC machines: [epsilon]-constraint approach," European Journal of Operational Research, Elsevier, vol. 183(2), pages 591-607, December.
    3. Antoine Trad, 2021. "The Business Transformation Framework and Enterprise Architecture Framework for Managers in Business Innovation: An Applied Holistic Mathematical Model," International Journal of Service Science, Management, Engineering, and Technology (IJSSMET), IGI Global, vol. 12(1), pages 142-181, January.
    4. Jorge M. S. Valente & Rui A. F. S. Alves, 2004. "Filtered and Recovering beam search algorithms for the early/tardy scheduling problem with no idle time," FEP Working Papers 142, Universidade do Porto, Faculdade de Economia do Porto.
    5. Sabuncuoglu, Ihsan & Gocgun, Yasin & Erel, Erdal, 2008. "Backtracking and exchange of information: Methods to enhance a beam search algorithm for assembly line scheduling," European Journal of Operational Research, Elsevier, vol. 186(3), pages 915-930, May.
    6. Jorge M. S. Valente & Rui A. F. S. Alves, 2004. "Beam search algorithms for the early/tardy scheduling problem with release dates," FEP Working Papers 143, Universidade do Porto, Faculdade de Economia do Porto.
    7. Jouglet, Antoine & Savourey, David & Carlier, Jacques & Baptiste, Philippe, 2008. "Dominance-based heuristics for one-machine total cost scheduling problems," European Journal of Operational Research, Elsevier, vol. 184(3), pages 879-899, February.
    8. Chang, Pei-Chann & Hsieh, Jih-Chang & Liu, Chen-Hao, 2006. "A case-injected genetic algorithm for single machine scheduling problems with release time," International Journal of Production Economics, Elsevier, vol. 103(2), pages 551-564, October.
    9. J M S Valente, 2010. "Beam search heuristics for quadratic earliness and tardiness scheduling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 620-631, April.
    10. A Lim & Z Xu, 2009. "Searching optimal resequencing and feature assignment on an automated assembly line," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(3), pages 361-371, March.
    11. Jorge M. S. Valente, 2007. "Beam search heuristics for the single machine scheduling problem with linear earliness and quadratic tardiness costs," FEP Working Papers 250, Universidade do Porto, Faculdade de Economia do Porto.
    12. E A Silver, 2004. "An overview of heuristic solution methods," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(9), pages 936-956, September.
    13. Parmentier, Axel & T’Kindt, Vincent, 2023. "Structured learning based heuristics to solve the single machine scheduling problem with release times and sum of completion times," European Journal of Operational Research, Elsevier, vol. 305(3), pages 1032-1041.
    14. Ladhari, Talel & Rakrouki, Mohamed Ali, 2009. "Heuristics and lower bounds for minimizing the total completion time in a two-machine flowshop," International Journal of Production Economics, Elsevier, vol. 122(2), pages 678-691, December.
    15. Berghman, Lotte & Leus, Roel, 2015. "Practical solutions for a dock assignment problem with trailer transportation," European Journal of Operational Research, Elsevier, vol. 246(3), pages 787-799.
    16. 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.

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