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Improved Lower Bounds for the Early/Tardy Scheduling Problem with No Idle Time

Author

Listed:
  • Jorge M. S. Valente

    (Faculdade de Economia da Universidade do Porto)

  • Rui A. F. S. Alves

    (Faculdade de Economia da Universidade do Porto)

Abstract

In this paper we consider the single machine earliness/tardiness scheduling problem with no idle time. Two of the lower bounds previously developed for this problem are based on lagrangean relaxation and the multiplier adjustment method, and require an initial sequence. We investigate the sensitivity of the lower bounds to the initial sequence, and experiment with di?erent dispatch rules and some dominance conditions. The computational results show that it is possible to obtain improved lower bounds by using a better initial sequence. The lower bounds are also incorporated in a branch-and-bound algorithm, and the computational tests show that one of the new lower bounds has the best performance for larger instances.

Suggested Citation

  • Jorge M. S. Valente & Rui A. F. S. Alves, 2003. "Improved Lower Bounds for the Early/Tardy Scheduling Problem with No Idle Time," FEP Working Papers 125, Universidade do Porto, Faculdade de Economia do Porto.
    • Handle: RePEc:por:fepwps:125
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    References listed on IDEAS

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    1. Kenneth R. Baker & Gary D. Scudder, 1990. "Sequencing with Earliness and Tardiness Penalties: A Review," Operations Research, INFORMS, vol. 38(1), pages 22-36, February.
    2. Jorge M. S. Valente & Rui A. F. S. Alves, 2003. "Improved Heuristics for the Early/Tardy Scheduling Problem with No Idle Time," FEP Working Papers 126, Universidade do Porto, Faculdade de Economia do Porto.
    3. George Li, 1997. "Single machine earliness and tardiness scheduling," European Journal of Operational Research, Elsevier, vol. 96(3), pages 546-558, February.
    4. Chris N. Potts & Luk N. Van Wassenhove, 1985. "A Branch and Bound Algorithm for the Total Weighted Tardiness Problem," Operations Research, INFORMS, vol. 33(2), pages 363-377, April.
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    Cited by:

    1. Jorge M. S. Valente & Rui A. F. S. Alves, 2003. "Improved Heuristics for the Early/Tardy Scheduling Problem with No Idle Time," FEP Working Papers 126, Universidade do Porto, Faculdade de Economia do Porto.
    2. Cristina Barbot, 2004. "Low cost carriers, secondary airports and State aid: an economic assessment of the Charleroi affair," FEP Working Papers 159, Universidade do Porto, Faculdade de Economia do Porto.
    3. Filipe J. Sousa & Luis M. de Castro, 2004. "The strategic relevance of business relationships: a preliminary assessment," FEP Working Papers 163, Universidade do Porto, Faculdade de Economia do Porto.
    4. Rosa Forte, 2004. "The relationship between foreign direct investment and international trade. Substitution or complementarity? A survey," FEP Working Papers 140, Universidade do Porto, Faculdade de Economia do Porto.
    5. Pedro Cosme Costa Vieira, 2005. "Multi Product Market Equilibrium with Sequential Search," FEP Working Papers 166, Universidade do Porto, Faculdade de Economia do Porto.
    6. Rui Henrique Alves, 2004. "Europe: Looking for a New Model," FEP Working Papers 154, Universidade do Porto, Faculdade de Economia do Porto.
    7. Pedro Cosme Costa Vieira, 2005. "The importance in the papers' impact of the number of pages and of co-authors - an empirical estimation with data from top ranking economic journals," FEP Working Papers 169, Universidade do Porto, Faculdade de Economia do Porto.

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    Keywords

    scheduling; early/tardy; lower bound;
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