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Minimizing makespan on a two-machine re-entrant flowshop

Author

Listed:
  • S-W Choi

    (Korea Advanced Institute of Science and Technology)

  • Y-D Kim

    (Korea Advanced Institute of Science and Technology)

Abstract

This paper focuses on a two-machine re-entrant flowshop scheduling problem with the objective of minimizing makespan. In the re-entrant flowshop considered here, all jobs must be processed twice on each machine, that is, each job should be processed on machine 1, machine 2 and then machine 1 and machine 2. We develop dominance properties, lower bounds and heuristic algorithms for the problem, and use these to develop a branch and bound algorithm. For evaluation of the performance of the algorithms, computational experiments are performed on randomly generated test problems. Results of the experiments show that the suggested branch and bound algorithm can solve problems with up to 200 jobs in a reasonable amount of CPU time.

Suggested Citation

  • S-W Choi & Y-D Kim, 2007. "Minimizing makespan on a two-machine re-entrant flowshop," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(7), pages 972-981, July.
    • Handle: RePEc:pal:jorsoc:v:58:y:2007:i:7:d:10.1057_palgrave.jors.2602220
    DOI: 10.1057/palgrave.jors.2602220
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    References listed on IDEAS

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    1. I.G. Drobouchevitch & V.A. Strusevich, 1999. "A heuristic algorithm for two‐machine re‐entrant shop scheduling," Annals of Operations Research, Springer, vol. 86(0), pages 417-439, January.
    2. Allahverdi, Ali, 2003. "The two- and m-machine flowshop scheduling problems with bicriteria of makespan and mean flowtime," European Journal of Operational Research, Elsevier, vol. 147(2), pages 373-396, June.
    3. Pearn, W. L. & Chung, S. H. & Chen, A. Y. & Yang, M. H., 2004. "A case study on the multistage IC final testing scheduling problem with reentry," International Journal of Production Economics, Elsevier, vol. 88(3), pages 257-267, April.
    4. Nawaz, Muhammad & Enscore Jr, E Emory & Ham, Inyong, 1983. "A heuristic algorithm for the m-machine, n-job flow-shop sequencing problem," Omega, Elsevier, vol. 11(1), pages 91-95.
    5. Graves, Stephen C., 1983. "Scheduling of re-entrant flow shops," Working papers 1438-83., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    6. M. Y. Wang & S. P. Sethi & S. L. van de Velde, 1997. "Minimizing Makespan in a Class of Reentrant Shops," Operations Research, INFORMS, vol. 45(5), pages 702-712, October.
    7. JC-H Pan & J-S Chen, 2003. "Minimizing makespan in re-entrant permutation flow-shops," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(6), pages 642-653, June.
    8. Wieslaw Kubiak & Sheldon X. C. Lou & Yingmeng Wang, 1996. "Mean Flow Time Minimization in Reentrant Job Shops with a Hub," Operations Research, INFORMS, vol. 44(5), pages 764-776, October.
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