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Bicriterion static scheduling research for a single machine

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  • Dileepan, P
  • Sen, T

Abstract

The single machine static scheduling problem has been studied with a number of criteria. Increasingly, this problem has been considered with two criteria jointly. Such attempts have usually taken two approaches. One approach is to consider one of the two criteria as the objective function and the other as a constraint. The other approach is to consider a joint objective function where both criteria are included. This paper presents a critical review of this research.

Suggested Citation

  • Dileepan, P & Sen, T, 1988. "Bicriterion static scheduling research for a single machine," Omega, Elsevier, vol. 16(1), pages 53-59.
    • Handle: RePEc:eee:jomega:v:16:y:1988:i:1:p:53-59
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    Cited by:

    1. Ben-Daya, M. & Duffuaa, S. O. & Raouf, A., 1996. "Minimizing mean tardiness subject to unspecified minimum number tardy for a single machine," European Journal of Operational Research, Elsevier, vol. 89(1), pages 100-107, February.
    2. T'kindt, V. & Billaut, J-C. & Proust, C., 2001. "Solving a bicriteria scheduling problem on unrelated parallel machines occurring in the glass bottle industry," European Journal of Operational Research, Elsevier, vol. 135(1), pages 42-49, November.
    3. Alcaide, David & Rodriguez-Gonzalez, Andrés & Sicilia, Joaquín, 2003. "An approach to solve a hierarchical stochastic sequential ordering problem," Omega, Elsevier, vol. 31(3), pages 169-187, June.
    4. Neppalli, Venkata Ranga & Chen, Chuen-Lung & Gupta, Jatinder N. D., 1996. "Genetic algorithms for the two-stage bicriteria flowshop problem," European Journal of Operational Research, Elsevier, vol. 95(2), pages 356-373, December.
    5. Nagar, Amit & Haddock, Jorge & Heragu, Sunderesh, 1995. "Multiple and bicriteria scheduling: A literature survey," European Journal of Operational Research, Elsevier, vol. 81(1), pages 88-104, February.
    6. Sayin, Serpil & Karabati, Selcuk, 1999. "A bicriteria approach to the two-machine flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 113(2), pages 435-449, March.
    7. Hoogeveen, J. A. & van de Velde, S. L., 2001. "Scheduling with target start times," European Journal of Operational Research, Elsevier, vol. 129(1), pages 87-94, February.
    8. Sivrikaya-Serifoglu, Funda & Ulusoy, Gunduz, 1998. "A bicriteria two-machine permutation flowshop problem," European Journal of Operational Research, Elsevier, vol. 107(2), pages 414-430, June.
    9. T'kindt, Vincent & Monmarche, Nicolas & Tercinet, Fabrice & Laugt, Daniel, 2002. "An Ant Colony Optimization algorithm to solve a 2-machine bicriteria flowshop scheduling problem," European Journal of Operational Research, Elsevier, vol. 142(2), pages 250-257, October.
    10. Hesaraki, Alireza F. & Dellaert, Nico P. & de Kok, Ton, 2019. "Generating outpatient chemotherapy appointment templates with balanced flowtime and makespan," European Journal of Operational Research, Elsevier, vol. 275(1), pages 304-318.
    11. P Chen & C-C Wu & W-C Lee, 2006. "A bi-criteria two-machine flowshop scheduling problem with a learning effect," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(9), pages 1113-1125, September.
    12. Huo, Yumei & Zhao, Hairong, 2015. "Total completion time minimization on multiple machines subject to machine availability and makespan constraints," European Journal of Operational Research, Elsevier, vol. 243(2), pages 547-554.
    13. Yumei Huo, 2019. "Parallel machine makespan minimization subject to machine availability and total completion time constraints," Journal of Scheduling, Springer, vol. 22(4), pages 433-447, August.
    14. Arroyo, Jose Elias Claudio & Armentano, Vinicius Amaral, 2005. "Genetic local search for multi-objective flowshop scheduling problems," European Journal of Operational Research, Elsevier, vol. 167(3), pages 717-738, December.
    15. Sarin, Subhash C. & Hariharan, R., 2000. "A two machine bicriteria scheduling problem," International Journal of Production Economics, Elsevier, vol. 65(2), pages 125-139, April.
    16. Huo, Yumei & Leung, Joseph Y.-T. & Zhao, Hairong, 2007. "Bi-criteria scheduling problems: Number of tardy jobs and maximum weighted tardiness," European Journal of Operational Research, Elsevier, vol. 177(1), pages 116-134, February.
    17. Erenay, Fatih Safa & Sabuncuoglu, Ihsan & Toptal, Aysegül & Tiwari, Manoj Kumar, 2010. "New solution methods for single machine bicriteria scheduling problem: Minimization of average flowtime and number of tardy jobs," European Journal of Operational Research, Elsevier, vol. 201(1), pages 89-98, February.

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