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A framework for single machine multiple objective sequencing research

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  • Fry, TD
  • Armstrong, RD
  • Lewis, H

Abstract

The majority of single machine sequencing research has assumed that only one objective is to be minimized. The research involving multiple objectives has been limited. Recent studies have shown, however, that production managers often consider multiple objectives when making scheduling decisions. The primary reason for the lack of literature on multiple objective scheduling is the additional complexity encountered when determining the 'best' solution. Although a host of general multiple objective optimization procedures exists, the vast majority cannot be efficiently applied to the multiple objective single machine sequencing problem. Most procedures assume continuous decision variables, whereas the single machine sequencing problem requires integer variables. While some of these procedures could be altered to directly address integer models, the overall combinatorial nature of most sequencing problems limits the applicability to sequencing. A comprehensive review of the published literature on the multiple objective single machine sequencing problem is presented in this paper. A framework is presented to categorize each piece of research. Gaps in the body of research are indicated and recommendations are made for areas of future research.

Suggested Citation

  • Fry, TD & Armstrong, RD & Lewis, H, 1989. "A framework for single machine multiple objective sequencing research," Omega, Elsevier, vol. 17(6), pages 595-607.
  • Handle: RePEc:eee:jomega:v:17:y:1989:i:6:p:595-607
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    Citations

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    Cited by:

    1. 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.
    2. Hoogeveen, Han, 2005. "Multicriteria scheduling," European Journal of Operational Research, Elsevier, vol. 167(3), pages 592-623, December.
    3. Adamopoulos, George I. & Pappis, Costas P., 1996. "A fuzzy-linguistic approach to a multi-criteria sequencing problem," European Journal of Operational Research, Elsevier, vol. 92(3), pages 628-636, August.
    4. Toktas, Berkin & Azizoglu, Meral & Koksalan, Suna Kondakci, 2004. "Two-machine flow shop scheduling with two criteria: Maximum earliness and makespan," European Journal of Operational Research, Elsevier, vol. 157(2), pages 286-295, September.
    5. Awi Federgruen & Gur Mosheiov, 1993. "Simultaneous optimization of efficiency and performance balance measures in single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 40(7), pages 951-970, December.
    6. M. Murat Köksalan, 1999. "A heuristic approach to bicriteria scheduling," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 777-789, October.
    7. Haral, Uday & Chen, Rew-Win & Ferrell, William Jr & Kurz, Mary Beth, 2007. "Multiobjective single machine scheduling with nontraditional requirements," International Journal of Production Economics, Elsevier, vol. 106(2), pages 574-584, April.
    8. Brandimarte, Paolo, 1999. "Exploiting process plan flexibility in production scheduling: A multi-objective approach," European Journal of Operational Research, Elsevier, vol. 114(1), pages 59-71, April.
    9. 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.
    10. Ching‐Jong Liao & Cheng‐Hsing Chuang, 1996. "Sequencing with setup time and order tardiness trade‐offs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(7), pages 971-984, October.
    11. 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.
    12. 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.
    13. 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.
    14. Subhash C. Sarin & Divya Prakash, 2004. "Equal Processing Time Bicriteria Scheduling on Parallel Machines," Journal of Combinatorial Optimization, Springer, vol. 8(3), pages 227-240, September.
    15. 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.
    16. 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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